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HAME508: Making Capital Investment Decisions Cornell School of Hotel Administration © 2015 eCornell. All rights reserved. All other copyrights, trademarks, trade names, and logos are the sole property of their respective owners. 1 Transcripts Transcript: Welcome Any time you're part of the decision to purchase an asset in your company, in your division, the finance team is going to get involved and you're going to have to work together with them to figure out which asset is the best one to purchase, and how it is that that asset is going to help to produce value inside the company. >> And what we're going to do in this course is walk you through all of the key decision making criteria that the finance team is going to use. So, it's no longer going to be the case that you're sitting on the sidelines. You're now going to be able to actively participate and work with the finance team, carry on a dialogue, and go through the different models they use. And you can understand them. And help be part of the solution within the firm as to whether or not to move ahead with this particular project. >> It's going to be common that within the scope of analysis there's going to be multiple types of ways to accomplish the same goal with this project. Different assets. They might have different lives. They may have different types of cash flows leading up into the project itself. And then you will be part of the discussion. After taking this course you can actively be part of the discussion where you will be able to understand and ascertain the choices among the alternatives that the company will be moving toward. >> Good points, Steve. And we'll be presenting a number of frameworks, and we're going to go through the pros an cons of each of those frameworks, when they'll work well when they won't work so well. And you'll be able to bring this knowledge and this array of frameworks to bear when you're looking at presenting your project and working it through the finance team. >> Right. Be more involved. Be more actively involved, engaged and understand better how these decisions are made, and eventually be a motivator toward the decisions that will affect your company and your future.

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  HAME508:  Making  Capital  Investment  Decisions  Cornell  School  of  Hotel  Administration  

© 2015 eCornell. All rights reserved. All other copyrights, trademarks, trade names, and logos are the sole property of their respective owners.  

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 Transcripts  

 

Transcript: Welcome  Any  time  you're  part  of  the  decision  to  purchase  an  asset  in  your  company,  in  your  division,  the  finance  team  is  going  to  get  involved  and  you're  going  to  have  to  work  together  with  them  to  figure  out  which  asset  is  the  best  one  to  purchase,  and  how  it  is  that  that  asset  is  going  to  help  to  produce  value  inside  the  company.      >>  And  what  we're  going  to  do  in  this  course  is  walk  you  through  all  of  the  key  decision  making  criteria  that  the  finance  team  is  going  to  use.  So,  it's  no  longer  going  to  be  the  case  that  you're  sitting  on  the  sidelines.  You're  now  going  to  be  able  to  actively  participate  and  work  with  the  finance  team,  carry  on  a  dialogue,  and  go  through  the  different  models  they  use.  And  you  can  understand  them.  And  help  be  part  of  the  solution  within  the  firm  as  to  whether  or  not  to  move  ahead  with  this  particular  project.      >>  It's  going  to  be  common  that  within  the  scope  of  analysis  there's  going  to  be  multiple  types  of  ways  to  accomplish  the  same  goal  with  this  project.  Different  assets.  They  might  have  different  lives.  They  may  have  different  types  of  cash  flows  leading  up  into  the  project  itself.  And  then  you  will  be  part  of  the  discussion.  After  taking  this  course  you  can  actively  be  part  of  the  discussion  where  you  will  be  able  to  understand  and  ascertain  the  choices  among  the  alternatives  that  the  company  will  be  moving  toward.      >>  Good  points,  Steve.  And  we'll  be  presenting  a  number  of  frameworks,  and  we're  going  to  go  through  the  pros  an  cons  of  each  of  those  frameworks,  when  they'll  work  well  when  they  won't  work  so  well.  And  you'll  be  able  to  bring  this  knowledge  and  this  array  of  frameworks  to  bear  when  you're  looking  at  presenting  your  project  and  working  it  through  the  finance  team.      >>  Right.  Be  more  involved.  Be  more  actively  involved,  engaged  and  understand  better  how  these  decisions  are  made,  and  eventually  be  a  motivator  toward  the  decisions  that  will  affect  your  company  and  your  future.    

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  HAME508:  Making  Capital  Investment  Decisions  Cornell  School  of  Hotel  Administration  

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Transcript: Capital Budgeting Rules  Let's  talk  about  capital  budgeting  rules.  Capital  budgeting  is  at  the  heart  of  what  drives  value  for  any  company.  Scott,  why  don't  you  tell  us  a  little  bit  about  what  is  capital  budgeting,  where  it  comes  from,  and  how  do  we  begin  that  process?      >>  Oh  sure,  Steve.  Let  me  give  you  the  big  picture.  What  I  want  you  do  to  is  think  of  a  balance  sheet.  And  on  the  right  hand  side,  we  have  how  we're  raising  our  money.  It's  our  debt  and  our  equity.  On  the  left  hand  side,  is  the  operating  assets.  And  so  what  we  do,  is  we  look  over  to  the  right  hand  side,  figure  out  what  our  various  investors  want  in  the  way  of  a  return.  Say  it's  13%.  That  becomes  what  we  call  the  hurdle  rate.  That  is  the  rate  we  need  to  jump  over  when  we  invest  those  funds  on  the  left  hand  side.  So  when  we  invest  in  a  project  we  have  to  make  sure  we're  clearing  that  13%.  So  how  do  we  make  sure  a  project  is  getting  us  that  13%?  Well  we  use  a  variety  of  different  capital  budgeting  rules  and  we're  going  to  look  at  those.  We're  going  to  look  at  the  NPV,  IRR,  payback  period,  discounted  payback.  We  also  look  at  the  return  on  investment,  and  also  the  profitability  index.  All  various  rules  that  all  bring  a  little  something  to  the  game.  They  all  have  their  pros  and  their  cons,  and  we're  goning  to  learn  about  those  pros  and  cons  and  when  to  use  each.  The  whole  idea  though,  is  to  make  sure  that  we  are  earning  for  our  investors  a  return  that's  going  to  increase  their  wealth.  That's  the  idea  behind  these  capital  budgeting  rules.      >>  Yeah.  It's  really  critical  to  understand  that  when  we  engage  in  capital  budgeting  analysis,  when  we  invest  in  any  project,  that  we  add  value  to  the  company.  Adding  value  to  the  company  requires  not  only  creating  a  positive  cash  flow,  but  enough  of  a  positive  cash  flow,  cash  flow  to  add  to  the  value  of  the  business  by  exceeding  the  hurdle.      >>  Yeah,  and  the  financial  management  team,  the  finance  team.  That's  what  they're  trying  to  do.  They're  not  trying  to  be  difficult  when  they're  shooting  down  your  project.  They're  trying  to  work  with  you  to  ensure  that  whatever  project  that  you  bring  forward  bring  to  the  table  is  contributing  to  the  wealth  of  the  owners  of  the  firm  then,  that  you're  achieving  that  hurdle  rate  you're  exceeding  that  and  that's  the  whole  idea  so  financial  management  team,  that's  the  rules  they're  using  but  we  want  you  to  do  is  understand  those  rules,  so  you  can  carry  on  an  active  dialogue  with  the  finance  team.      >>  Right.  It's  important  to  remember,  in  the  end,  that  almost  no  business  has  unlimited  funds.  And  therefore  whenever  the  finance  people  are  evaluating  a  project,  they  look  to  make  sure  that  the  opportunity  cost  of  the  funds  are  being  maximized  in  this  particular  project  across  the  entire  company  in  every  division.      >>  And  that's  what  the  capital  budgeting  rules  are  going  to  do  for  us.      >>  Right.  

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Transcript: The Critical Importance of Capital Budgeting Analysis Successful  analysis  of  capital  budgeting  and,  using  correct  capital  budgeting  rules  is  critical  to  the  success  of  any  business.  Critical  to  the  value  of  a  business.  Critical  to  adding  value  to  a  business  and  also  really  important  especially  at  a  divisional  level  for  divisional  managers  to  make  good  decisions.  Now  of  course  there  is  a  lot  of  different  types  of  products  that  we  would  use,  different  types  of  measures.  Scott,  you  are  familiar  with  the  different  types  of  surveys  that  are  used  out  in  the  marketplace  to  see  who  uses  what.      >>  Yeah  right.  The  survey  evidence  we  saw  suggests  that  in  United  States  the  most  common  capital  budgeting  rules  are  the  NPV  and  the  internal  rate  of  return,  the  IRR.  But  that  varies  internationally.      >>  Right  so  in  the  U.S.,  we  know  that  there  are  more  common  ones  and  then  globally  there's  other  surveys  that  are  done  to  see  whether  or  not  across  the  world  people  use  the  same  types  of  analysis  in  the  same  way.      >>  For  example,  we  saw  in  Europe,  payback  period  is  relatively  more  popular  than  it  is  in  the  United  States.      >>  Right,  and  the  level  of  complexity  of  the  different  types  of  measurements  as  well  as  which  types  of  companies  are  using  them,  how  large  they  are,  those  all  make  a  difference.      >>  Yeah,  for  example,  I've  worked  with  some  companies  where  the  return  on  investment  is  the  most  popular  rule.  They  use  it  for  just  about  everything.  But  that  said  they  usually  calculate  the  other  rules  to  bring  into  decision.  They  all  bring  something  to  the  table.  There's  pros  and  cons  with  each  of  the  methods.  And  I  would  suggest  we  use  all  of  our  capital  budgeting  rules  and  look  at  all  of  them  and  understand  what  they're  bringing  to  the  table.      >>  I  think  that's  a  great  point.  It's  important  to  get  different  perspectives  and  each  one  of  these  types  of  rules  is  going  bring  a  different  type  of  perspective  to  the  table.      >>  Right.        

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Transcript: Net Present Value  So  what  is  the  net  present  value?  It's  actually  straightforward.  What  we're  going  to  do  is  we're  looking  at  a  corporation's  project.  We  are  going  to  take  the  project  cash  flow.  So  what  is  the  initial  investment  and  what  do  we  estimate  the  cash  flows  to  be  going  out  into  the  future  that  are  associated  with  this  project?  Then  what  we're  going  to  do  is  get  the  hurdle  rate.  Remember  the  hurdle  rate  is  the  rate  that  investors  are  going  to  demand,  given  the  risk  that's  in  the  cash  flows  of  the  project.  And  what  we're  going  to  do,  is  we're  going  to  discount,  or  calculate  the  present  value  of  those  future  cash  flows.  And  if  the  sum  of  the  present  value  of  those  future  cash  flows  is  greater  than  that  initial  investment  what  we  say  is  that  has  a  positive  net  present  value.  The  present  value  of  all  those  future  cash  flows  exceeds  that  amount  or  that  initial  investment.      >>  Yeah,  it's  important  that  financial  managers  realize  that  what  we're  really  trying  to  do  is  to  add,  and  to  add  to  the  incremental  value  of  the  business.  Every  project  that  we  put  on  the  books,  every  time  we  use  the  company's  assets,  or  the  money  the  company  has  to  acquire  another  part  of  the  business,  add  to  one  of  our  other  divisions,  they're,  of  course,  needing  to  add  value  to  the  company.  The  way,  the  best  way  for  us  to  value  that  incremental  value  is  through  net  present  value.  Of  course  financial  managers  are  going  to  always  do  this  calculation.  Non-­‐financial  managers,  especially  those  taking  this  course,  need  to  understand  the  inputs  that  they  will  bring  to  the  table  to  help  make  sure  that  we  make  good  investment  decisions.      >>  Exactly.  So  the  financial  management  team,  when  you're  going  to  sit  down  with  them,  they're  going  to  be  looking  through  your  projections,  your  capital  budget  plans  that  you  put  together.  They're  going  to  be  trying  to  strip  out  the  relevant  cash  flows  going  out  into  to  the  future.  They'll  be  thinking  about  the  risk  of  the  project.  And  the  hurdle  rate  that's  going  to  result.  And  what  they're  going  to  do  then  is  take  those  two  ingredients,  the  cash  flows,  they're  going  to  take  the  hurdle  rate,  use  the  hurdle  rate  to  discount  those  cash  flows,  just  add  up  the  present  value  of  those  future  cash  flows,  subtract  off  the  initial  investment  and  if  it's  a  positive  NPV,  that  means  what  the  project  brings  in  is  worth  more  than  the  initial  investment.  We  move  ahead.  However,  if  the  project  cash  flows  fall  short  of  that  initial  investment  that's  what  we  call  a  negative  NPV.  That's  actually  destroying  value,  it's  destroying  the  value  for  our  owners.  And  non-­‐financial  managers,  whether  they  be  marketing  or  HR,  need  to  make  sure  they  bring  forward  the  right  information  to  assist  financial  managers  in  making  that  decision  to  increase  the  value  of  the  company  every  time.      

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Transcript: Calculate NPV – Fixed Cash Flows Find the NPV - fixed cash flows for Project A using the HP 12C  Project  A  requires  an  initial  investment  of  100  dollars.  The  projected  cash  flows  for  years  1,  2  and  3  are  fixed,  50  dollars  per  year.  The  hurdle  rate  for  this  project  is  10  percent.  What  is  the  NPV  for  Project  A?    Your  HP12C  has  five  primary  financial  function  keys.    Clear  the  registers  [f]  [REG]    Enter  the  number  of  periods:  3  [n]    Enter  the  applicable  rate,  10%:  10  [i]    Enter  the  value  of  the  cash  flows,  $50  annually:  50  [PMT]  Calculate  the  present  value  of  the  future  cash  flows  at  the  applicable  rate.    The  answer  is  124.34.    Find the NPV - fixed cash flows for Project A using the TI BA II Plus  Project  A  requires  an  initial  investment  of  $100.  The  projected  cash  flows  for  years  1,  2,  and  3  are  fixed,  $50  per  year.  The  hurdle  rate  for  this  project  is  10%  What  is  the  NPV  for  Project  A?  Your  calculator  has  five  primary  financial  function  keys.    Clear  the  TVM  register:  2nd  [CLR  TVM]    Enter  the  number  of  periods,  three  years:  3  [n]    Enter  the  applicable  rate,  10%:  10  [i/Y]    Enter  the  value  of  the  cash  flows,  $50  annually:  50  [PMT]    Calculate  the  present  value  of  the  future  cash  flows  at  the  applicable  rate:  [CPT]  [PV]    The  answer  is  124.34.   Find the NPV - fixed cash flows for Project B using the HP 12C Project  B  requires  an  initial  investment  of  $100.  The  projected  cash  flows  for  years  1  and  2  are  $40  per  year.  The  cash  flow  for  year  3  has  been  rewritten  as  $40  and  the  remaining  $20  in  year  3  has  been  reassigned  as  the  future  value  of  the  project.  The  hurdle  rate  for  this  project  is  10%.  What  is  the  NPV  for  project  B?    Your  calculator  has  five  primary  financial  function  keys.    Clear  register:  [f]  [REG]    Enter  the  number  of  periods,  three  years:  3  [n]    Enter  the  applicable  rate,  10  percent:  10  [i]    Enter  the  value  of  the  cash  flows,  40  dollars  annually:  40  [PMT]    Enter  the  future  value,  the  additional  amount  available  in  year  three,  $20:  20  [FV]   Find the NPV - fixed cash flows for Project B using the TI BA II Plus

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 Project  B  requires  an  initial  investment  of  $100.  The  projected  cash  flows  for  years  one  and  two  are  $40  per  year.  The  cash  flow  for  year  three  has  been  rewritten  as  $40  and  the  remaining  $20  in  three  has  been  reassigned  as  the  future  value  of  the  project.  The  hurdle  rate  for  this  project  is  10%.  What  is  the  NPV  for  project  B?    Your  calculator  has  five  primary  financial  function  keys.    Clear  register:  2nd  [CLR  TVM]    Enter  the  number  of  periods,  three  years:  3  [n]    Enter  the  applicable  rate,  10%:  10  [i/Y]    Enter  the  value  of  the  cash  flows  40  dollars  annually:  40  [PMT]    Enter  the  future  value,  the  additionally  amount  available  in  year  three,  20  dollars:  20  [FV]    

Transcript: Terminal Infinite Cash Flows  In  this  example  we  are  considering  a  pipeline  that  will  cost  $300  million  to  build.  Let's  take  a  look  at  the  future  cash  flows.  In  year  one  we  expect  $30  million.  Year  two,  $40  million.  Year  three,  $50  million.  And  then  afterwards,  the  cash  flows  will  go  up  4%  per  year.  How  are  we  going  to  value  these  future  cash  flows?  Let's  break  it  down  and  look  at  the  first  cash  flows  individually.  Let's  take  year  one,  it's  a  $30  million  dollar  lump  sum.  Let's  bring  it  back  one  year,  using  the  present  value  of  a  lump  sum  formula.  The  value  is  $26.79  million  dollars.  Let's  take  year  two,  it's  a  $40  million  dollar  cash  flow,  again  we'll  use  the  lump  sum  formula,  bringing  it  back  to  the  present,  we  have  $31.89  million  dollars.      Let's  take  a  look  at  year  three,  we  have  a  $50  million  dollar  cash  flow,  afterwards  we  expect  that  to  grow  at  4%  every  year.  How  are  we  going  to  put  a  value  on  this?  If  you  envision  yourself  standing  at  year  two,  and  you  look  forward,  what  you'll  have  is  a  $50  million  cash  flow  to  be  received  one  year  from  today.  That  cash  flow  will  draw  at  4%  each  and  every  year.  What  does  this  look  like?      Well,  it's  a  growing  perpetuity.  $50  million  dollars  that's  going  to  grow  at  4%  each  and  every  year.  So,  we  can  value  the  cash  flow  using  the  growing  perpetuity  formula.  Here,  the  payment  amount  is  $50  million  dollars,  the  growth  rate  is  4%,  and  in  this  example  we're  using  a  12%  discount  rate.  So,  if  we  take  the  $50  million  dollars,  divide  through  by  the  12%  minus  the  4%,  we  get  a  value  of  $625  million  dollars.  Now  that's  the  value  where  we're  standing  today  at  year  two.  We  don't  want  the  value  of  year  two,  we  want  the  value  as  of  today.  So  we  have  to  shift  this  $625  million  dollars  from  year  two  back  to  today.  How  do  we  do  that?      Well,  we  use  a  lump  sum  valuation  once  again.  $625  million  brought  back  two  years  at  12%  is  $498.25  million.  Now  we  have  all  the  pieces  to  put  together.  If  we  add  up  the  present  values  of  the  cash  flows  from  year  one,  two,  three  on  out,  let's  see  what  we  have.  $26.79  million  in  year  one,  $31.89  million  in  year  two,  and  the  value  of  the  cash  flows  in  three  on  out  is  $498.25  

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million.  The  total  present  value  of  all  the  future  cash  flows  in  this  case  is  556.93  million.  If  we  subtract  off  the  $300  million  construction  cost,  we  have  a  positive  net  present  value  for  our  pipeline  project  of  256.93  million.  The  project  looks  like  a  winner.      The  valuation  we  just  made  of  the  growing  perpetuity,  beginning  three  years  from  now,  is  known  as  a  terminal  value  calculation.  Terminal  value  calculations  are  often  made  in  situations  where  the  project  cash  flows  are  expected  to  continue  into  the  indefinite  future.  Terminal  valuation  calculations  are  also  used  to  value  whole  businesses  where  clearly  the  cash  flows  are  expected  to  continue  into  the  indefinite  future.  Typically  in  these  situations,  cash  flows  are  projected  out  three  to  seven  years,  on  a  year-­‐by-­‐year  basis.  The  cash  flows  afterwards  that  extend  out  into  the  future  are  assumed  to  take  the  form  of  growing  perpetuity,  just  as  in  the  pipeline  example  that  we  just  worked  through.      

Transcript: One Key Limitation to NPV

So  recognizing  that  Net  Present  Value  is  one  of  the  predominant  types  of  valuation  techniques  that  we  do  when  we  engage  in  a  capital  budgeting  analysis,  we  do  recognize  that  it  has  some,  fundamental  challenges  associated  with  it.  What  do  you  think  some  of  those  are,  Scott?      >>  Well,  the  key  thing  and  this  is  important  when  you  get  to  how  it's  used  in  business,  is  that  all  of  the  calculations  we  made  rely  on  the  hurdle  rate.  Well  what  is  the  hurdle  rate?  Well  the  hurdle  rate  is  what  our  investors  require  to  account  for  the  risk  that's  in  the  project.  And  in  practice,  you're  kind  of  holding  your  finger  up  here  trying  to  figure  out  what  is  this.  It's  really  a  guesstimate.  The  textbooks  that  you  may  have  read,  if  you've  ever  taken  a  finance  class,  chances  are  you  never  have,  but,  if  you  ever  do  read  these  finance  textbooks,  what  they  all  do  is  they  hold  out  the  NPV  as  the  king  of  the  capital  budget  rules.  That  is  what  you  want  to  use.  And  in  practice,  that  is  not  always  the  case,  because  it  requires  the  hurdle  rate.  And  in  practice,  often  times  we  have  to  take  an  educated  guess  as  to  what  that  hurdle  rate  is.      >>  Right,  don't  forget,  you  have  sometimes  where  a  individual  project  will  be  more  risky  or  less  risky  then  the  overall  company.  The  overall  company  may  have  a  hurdle  rate  that's  not  necessarily  going  to  be  the  same  as  the  hurdle  rate  for  the  project.      >>  Yeah,  and  you  might  know  it's  higher  or  lower  but  the  question  is  how  much  higher  or  lower,  so  we  don't  know  exactly.  So,  but  again,  NPV,  always  want  to  calculate  it,  bring  it  to  the  table  when  you're  making  your  capital  budgeting  decisions.  But  there  are  others  that  also  bring  other  factors  to  the  table.  If  you  read  a  textbook  sometimes  you'll  be  left  with  the  impression  NPV,  just  do  that  and  you're  fine.  But  you  know,  there's  more.      

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>>  And  some  of  the  other  mechanisms  don't  require  as  much  reliance  on  knowing  the  hurdle  rate  in  advance  like  the  NPV  does.      >>  Exactly.      

 Transcript: Internal Rate of Return  So  NPV  is  not  the  only  type  of  capital  budgeting  rule  commonly  used  by  companies.  There  are  others.  One  in  particular,  the  internal  rate  of  return,  is  very  common  and  widely  used  and  actually  quite  important  to  the  process  of  figuring  out  a  project's  viability  and  process  of  adding  value  to  a  business.  Now,  an  IRR  of  course  has  some  of  its  own  challenges,  but  one  of  the  things  it  doesn't  do  is  rely  on  a  hurdle  rate,  in  order  to  be  able  to  make  that  calculation.  So,  it's  all  internal  to  the  company.  All  we  have  to  know  is  that  the  company  has  cash  flow  estimates,  and  knows  when  it's  going  to  receive  them.  And  then  looks  at  them  over  time,  and  then  values  them.    >>  Right,  Steve,  an  intuitive  way  to  think  about  the  IRR,  it's  what  you're  earning  as  far  as  the  rate  of  return  on  money  you  invest  in  the  project.  You  know,  very,  very  intuitive.  And  you're  right.  It  does  not  rely  on  the  hurdle  rate,  as  we'll  see,  and  that's  important.  So  let's  for  example  assume  that  our  hurdle  rate  is  10%,  that's  what  our  investors  require.  We  go  through  the  work  and  we  estimate  the  IRR  for  this  particular  project,  comes  out  at  say  20%.  This  20%  is  so  far  ahead  of  the  10%,  this  price  is  clearly  a  slam  dunk.  Let's  just  move  ahead  we  don't  really  have  to  spend  much  more  time  you  know,  belaboring  whether  we're  going  to  go  ahead  or  not.  Let's  say  a  different  project,  we  work  through  the  calculation.  The  IRR  is  5%.  Our  hurdle  rate  is  10%.  Clearly  this  is  a  loser.  Let's  just  you  know,  shut  this  one  down  and  look  for  the  next  opportunity.  However  if  we  run  through  the  calculation,  the  IRR  is,  say  10%,  or  maybe  10  1/2%,  our  hurdle  rate  is  10%,  well,  we  have  to  roll  up  our  sleeves,  sharpen  our  pencils,  and,  and  look  at  it  a  bit  more.  This  is  how  it's  actually  worked  with,  and  used  in  practice,  in  this  fashion.  So  it's  a  very  valuable  decision  tool  to  bring  along  with  the  NPV.  NPV,  IRR  work  very  well  together,  in  highlighting  some  of  the  issues,  which  ones  we'll  move  ahead  with,  look  elsewhere,  or  need  to  roll  up  the  sleeves.      >>  On  an  intuitive  basis,  especially  for  non-­‐financial  managers,  the  IRR  has  one  real  great  benefit,  and  that's  that  it's  stated  in  percentage  terms,  as  you  just  said  >>  Sure.  As  opposed  to  saying  is  it  good  to  have  an  NPV  of  $8  million  versus  $2  million.  Many  people  understand  intuitively  percentages  and  where  percentages  lie  within  our  hurdle  rate.      >>  Sure,  one  of  the  great  advantages  of  the  IRR.      

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>>  Right.  So  the  IRR  has  some  advantages  that  make  it  real  unique  and  valuable.      

Transcript: The Art of IRR for Non-Financial Managers  Non-­‐financial  managers  who  engage  in  financial  decision  making  with  their  firms  often  will  be  given  cash  flows  and  will  be  asked  to  attend  meetings  and  discuss  what's  going  on  and  add  flavor  to  the  discussion.  It's  important  for  them  to  understand  how  IRR  is  calculated  in  that  environment,  because  they're  going  to  be  part  of  the  decision  making  process.  But  often,  they're  going  be  asked  to  come  up  with  some  of  these  calculations  themselves.      >>  Right,  Steve.  And,  and  as  we  see,  the  IRR  involves  two  key  ingredients.  The  first,  as  you  mentioned  is  the  cash  flow.  So,  either  you'll  be  given  those,  and  asked  to  comment  on  those.  Or  you'll  be  given  kind  of  the  raw  financial  statements.  They  call  it  the  P&L,  or  profit  and  loss  sometimes  they'll  call  it  an  internal  budget.  That's  really  beyond  the  scope,  is  taking  those  financial  statements  and  pulling  out  the  relative  cash  flows,  that's  our  first  key  ingredient.  The  second  key  ingredient  is  the  hurdle  rate.  Again,  typically  the  finance  team  will  give  you  that  hurdle  rate.  And,  you'll  be  asked  to,  maybe,  comment  on  whether  you  think  this  is  particularly  risky,  or  not,  relative  to  other  things  you've  done.  And  they  might  take  that  and  adjust  it  for  you.  But  again,  the  full  calculation  of  that  hurdle  rate  is  beyond  the  scope  of  this  class.  Those  are  the  two  key  ingredients.  But  what  we're  learning  here  is  when  we  have  those  two  key  ingredients,  what  we  do  with  them,  that  is  calculate  the  IRR.  Again,  it's  very  appealing  in  that  it  is  a  percentage.  And  this  is  really  where  that  art  of  the  capital  budgeting  decision  comes  in.  If  the  IRR  is  very  high  relative  to  that  hurdle  rate  and  that's  what  your  gut  is  telling  you,  that's  what  you  know.  Everything  looks  good.  You  move  ahead  and  that's  the  way  it's  done  in  practice.  But  again  if  it  falls  short  you're  probably  going  to  back  off  from  the  project.  >>  I  like  the  idea  of  art.  It  is  a  lot  of  an  art  form.  Especially  again  for  a  non-­‐financial  manager  participating  in  this  discussion.  They're  going  to  be  providing  a  lot  of  the  background  art  to  the  scientist  of  the  finance  person.      >>  Right.      >>  Finance  people  aren't  there  to  figure  out,  necessarily,  whether  or  not  a  product  is  going  to  sell  well,  what  its  demographics  are  going  to  be.  That's  the  marketing  department's  job.  So  they'll  still  have  to  participate.  On  top  of  it,  even  after  we  calculate  the  IRR,  we  understand  that  the  IRR  has  its  own  drawbacks.  >>  Oh  sure,  absolutely,  and  so  as  we've  discussed,  we  have  the  borrowing  lending  problem  scale  problem,  or  projects  with  different  sizes.  If  the  time  horizons  are  different,  and  when  we  have  a  cash  flow  switch,  that  will  create  problems  too.  So,  the  IRR  does  have  its  drawbacks.  And  again,  it's  always  my  advice,  and  I  think  you  would  advise  as  well,  Steve,  aways  calculate  the  NPV  and  the  IRR.  Learn  what  they  say,  what  the  drawbacks  are,  the  pros  and  cons,  and  use  them  together  to  make  capital  budget  decisions.    

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 >>  We  need  to  have  multiple  dimensions  in  order  to  make  good  decisions.  >>  Absolutely.    

Transcript: Calculate IRR – Fixed Cash Flows Find IRR - fixed cash flows for Project A using the HP 12C  Project  A  requires  an  initial  investment  of  100  dollars.  The  projected  cash  flows  for  years  1,  2  and  3  are  fixed,  50  dollars  per  year.  The  hurdle  rate  for  this  project  is  10  percent.  What  is  the  IRR  for  Project  A?    Your  HP12C  has  five  primary  financial  function  keys.    Clear  the  registers  [f]  [REG]    Enter  the  number  of  periods:  3  [n]    Enter  the  initial  investment,  $100:  100  [CHS]  [PV]  Enter  the  value  of  the  cash  flows,  $50  annually:  50  [PMT]  Calculate  the  internal  rate  of  return:    [i]    Find IRR - fixed cash flows for Project A using the TI BA II Plus  Project  A  requires  an  initial  investment  of  100  dollars.  The  projected  cash  flows  for  years  1,  2  and  3  are  fixed,  50  dollars  per  year.  The  hurdle  rate  for  this  project  is  10  percent.  What  is  the  IRR  for  Project  A?    Your  calculator  has  five  primary  financial  function  keys.    Clear  the  registers:  2nd  [CLR  TVM]    Enter  the  number  of  periods,  three  years:  3  [n]    Enter  the  initial  investment,  $100:  100  [+/-­‐]  [PV]  Enter  the  value  of  the  cash  flows,  $50  annually:  50  [PMT]    Calculate  the  internal  rate  of  return:    [CPT]  [i/Y]   Find IRR - fixed cash flows for Project B using the HP 12C Project  B  requires  an  initial  investment  of  $100.  The  projected  cash  flows  for  years  1  and  2  are  $40  per  year.  The  cash  flow  for  year  3  has  been  rewritten  as  $40  and  the  remaining  $20  in  year  3  has  been  reassigned  as  the  future  value  of  the  project.  The  hurdle  rate  for  this  project  is  10%.  What  is  the  IRR  for  project  B?    Your  calculator  has  five  primary  financial  function  keys.    Clear  register:  [f]  [REG]    Enter  the  number  of  periods,  three  years:  3  [n]    Enter  the  initial  investment,  $100:    100  [CHS][PV]  Enter  the  value  of  the  cash  flows,  40  dollars  annually:  40  [PMT]    

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Enter  the  future  value,  the  additional  amount  available  in  year  three,  $20:  20  [FV]   Find IRR - fixed cash flows for Project B using the TI BA II Plus  Project  B  requires  an  initial  investment  of  $100.  The  projected  cash  flows  for  years  one  and  two  are  $40  per  year.  The  cash  flow  for  year  three  has  been  rewritten  as  $40  and  the  remaining  $20  in  three  has  been  reassigned  as  the  future  value  of  the  project.  The  hurdle  rate  for  this  project  is  10%.  What  is  the  IRR  for  project  B?    Your  calculator  has  five  primary  financial  function  keys.    Clear  register:  2nd  [CLR  TVM]    Enter  the  number  of  periods,  three  years:  3  [n]    Enter  the  initial  investment,  $100:    100    [+/-­‐]  [PV]  Enter  the  value  of  the  cash  flows  40  dollars  annually:  40  [PMT]    Enter  the  future  value,  the  additionally  amount  available  in  year  three,  20  dollars:  20  [FV]      

Transcript: Borrowing/Lending IRR Pitfall So  the  first  IRR  pitfall  we'll  look  at  is  something  called  the  borrowing  lending  problem.  Let's  look  carefully  at  the  cash  flows  for  two  projects.  We  have  project  C,  and  in  project  C  we  have  a  $10,000  initial  investment,  and  a  year  from  now  we  get  $12,000  dollars  back.  In  project  D,  we  have  a  $10,000  inflow.  And  then  a  year  from  now  we  have  a  $12,000  outflow.    Now  let's  think  about  project  C  for  a  moment.  If  we  have  10,000  going  out  and  12,000  coming  back,  we  can  probably  figure  out  the  internal  rate  of  return,  the  IRR,  in  our  head,  it's  20%.  But  if  we  work  through  the  formula  we  see  that  we  get  20%.  If  we  make  that  same  calculation  for  project  D,  we  also  get  20%.  So  if  we  use  the  IRR  rule,  it  says  project  C,  project  D,  they're  equally  good.  We're  indifferent  between  the  two.  Now  let's  take  a  look  at  the  NPV  for  project  C.  If  we  run  through  the  calculation,  we  get  a  positive  $434.  That  one  looks  good  according  to  the  NPV  criteria.      Now  Project  D,  if  we  calculate  the  NPV,  it's  a  negative  $434.  Clearly,  this  is  a  negative  NPV.  This  is  a  bad  deal  according  to  the  NPV  rule.  So  what  do  we  do  here?  I'm  going  to  give  you  a  hint,  this  is  called  IRR  pitfalls,  so  if  you  guessed  project  C  is  the  one  we  want  to  go  with,  you  would  be  correct.  So  what  is  wrong  with  the  IRR  here?  Well,  if  you  look  carefully  at  cash  flows  in  project  D,  really  what  we're  doing  is  we're  getting  10,000.  And  then  we're  paying  out  12,000.  In  effect,  what  we're  doing  is,  we  are  borrowing  at  a  20%  rate.  So,  clearly  with  an  IRR  of  20%  here,  it's  really  saying  we're  borrowing  at  a  20%  rate.  And  because  our  hurdle  rate  is  much  less  here,  that  would  be  a  bad  deal.  Now,  the  NPV  correctly  tells  us  that,  but  the  IRR  fails.      So  whenever  you  have  cash  flows  coming  in  and  going  out,  you  have  to  be  very  careful,  and  in  a  case  where  you  have  cash  flows  coming  in  followed  by  cash  flows  coming  out,  the  IRR  may  not  work  because  you're  going  to  run  into  this  borrow  lending  problem.  So  always  calculate  the  

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NPV  and  the  IRR  together.  And  when  they  give  a  different  answer,  chances  are  it's  one  of  the  IRR  pitfalls,  so  look  for  this  borrowing  lending  problem.      

Transcript: Mutually Exclusive Projects Pitfall—Size of Investment

Our  next  IRR  pitfall  occurs  when  we  have  mutually  exclusive  projects.  That  means  we  have  several  projects  and  we  can  choose  only  one.  Maybe  it's  a  single  piece  of  property.  And  there's  different  ways  that  we  can  develop  that  property.  So  I  want  to  show  you  two  more  projects.      We  have  project  E  and  project  F.  Let's  look  first  at  project  E.  So  for  project  E  we  have  a  $10,000  cash  outflow,  followed  one  year  later  by  a  $20,000  cash  inflow.  We're  doubling  our  money.  So  here  the  IRR  is  100%.  And  if  we  calculate  the  NPV  using  our  10%  hurdle  rate.  We  get  $8,182.      Now  let's  look  at  Project  F.  Here  we're  investing  $20,000,  and  we  get  back  $35,000  one  year  from  now.  So  we're  going  from  20  to  35,000.  That's  a  75%  return  on  our  money,  so  that  is  the  IRR.  And  if  we  calculate  the  NPV  again  using  that  10%  hurdle  rate.  We  get  an  NVP  of  $11,818.  Now  let's  take  a  look.  IRR  says  which  project  is  better,  well  it's  project  E,  it  has  the  IRR,  100%  is  better  than  seventy-­‐five.  And  if  we  look  at  the  NPV,  it  is  project  F,  it  has  the  higher  NPV.      Now  which  project  should  we  be  taking  here?  IRR,  the  NPV  disagree.  Again  let  me  give  you  a  hint.  It  has  to,  the  title  of  this  section  is  called  IRR  Pitfalls,  so  you're  right,  we  want  to  go  with  project  F.  Now,  why  do  we  want  to  go  with  project  F?  Look  carefully  at  the  cash  flows,  and  let  me  give  you  some  intuition.  I'm  going  to  offer  you  a  deal.  The  first  deal  is,  I'm  going  to  give  you  $1  today,  you  give  me  back  $2  tomorrow.  Let's  presume  that  I'm  good  for  it.  Another  alternative  is  I  will  give  you  $100  today,  you  give  me  back  $150  tomorrow.  Again,  presume  I  am  good  for  it.Which  would  you  like  to  take?  $1  to  $2  or  $100  to  $150  one  day  later?  Use  your  intuition,  your  common  sense.  Chances  are,  you're  going  to  wanna  go  the  100  to  the  150,  cause  you  make  $50.  But  wait  a  minute,  do  you  really  want  to  do  that?  1  to  $2,  that's  a  100%  return  on  your  money,  100  to  150  is  only  50%  return  on  your  money.  You  still  want  to  take  100  to  150?  Well  chances  are  that  you  do  even  though  the  return  for  that  one  day  is  lower.      The  important  thing  to  consider  here  is  the  amount  of  money  you're  earning  interest  on.  A  $100  is  a  hundred  times  that  one  dollar.  The  project  scale  here  or  the  initial  investment  is  much  larger  on  the  $100.  The  same  is  true  if  we  looked  at  project  E  and  F.  $20,000  is  twice  as  large  as  the  10,000.  So  for  project  E  we're  earning  100%  return  on  the  10,000.  For  project  F,  75%,  still  a  great  return,  not  quite  100  but  we're  earning  double  the  amount  of  money  the  20,000.  So  the  IRR  actually  does  not  take  into  consideration.  The  initial  investment  or  the  scale  of  the  project  

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only  tells  us  the  rate  of  return.  The  NPV  properly  takes  into  consideration  the  project's  scale  of  our  initial  investment.      So,  again,  always  calculate  the  NPV  and  the  IRR  together.  And  when  they  give  you  a  different  answer,  chances  are,  it's  the  project  scale.  It's  one  of  the  things  to  look  for.      

Transcript: Mutually Exclusive Projects Pitfall—Timing One  more  IRR  pitfall,  again  this  is  going  to  deal  with  mutually  exclusive  projects,  remember  we  have  many  projects  we  can  only  choose  one.  Now  this  has  to  do  when  we  have  different  time  horizons.  We  have  two  projects  now  we're  going  to  look  at.  We  have  project  G  and  H,  both  require  a  $9000  initial  investment,  and  for  G  we're  going  to  get  paid  back  cash  flows  of  6,  then  5  and  then  $4000  in  the  next  three  years.  For  H  we're  going  to  get  back  $1800  per  year,  going  on  out  forever.  Now,  if  we  calculate  the  IRRs  for  project  G  it  is  33%,  for  project  H  it  is  20%.  So  the  IRR  rule  says  G  is  the  better  way  to  go.  However,  if  we  look  at  the  NPVs  and  we  use  a  10%  hurdle  rate,  for  project  G  it's  $3,592  and  for  H,  it  is  $9,000.  So  the  NPV  rule  says  H  is  the  better  way  to  go.  So  which  is  it?      The  IRR  and  NPV  disagree.  Now  again,  you  might  be  clued  into  this,  it's  IRR  Pitfalls.  So  H  is  the  winner  here.  NPV  dominates  the  IRR  here.  But  what  is  the  intuition?  Let's  work  through  a  little  scenario.  Suppose  you  give  me  $100  today,  and  I  promise  to  give  you  back  $150  tomorrow.  Alternatively,  you  give  me  $100  today  and  I'll  give  you  back  $180  two  days  from  now,  and  presume  I'm  good  for  it.  Which  do  you  prefer?  $100  to  $150  tomorrow,  or  you  give  me  $100  and  I  give  you  back  $180  two  days  from  now?      Well,  chances  are,  you're  going  to  want  to  go  with  the  $180.  That's  an  $80  profit  versus  a  $50  profit.  But  think  of  the  IRRs  now.  100  to  150,  that's  a  50%  return  per  day.  100  to  180,  that's  something  less  than  40%  when  we  figure  in  compounding.  So  50%  is  a  great  return,  but  you're  only  earning  it  for  one  day.  Something  a  little  south  of  40%  is  also  a  good  return,  but  not  as  good  as  50,  but  you're  earning  it  for  twice  as  long,  for  two  days.      So  the  key  here  is,  what  the  IRR  misses  is,  how  long  your  money's  tied  up,  and  how  long  you're  earning  that  return.  It  doesn't  take  into  account  the  timing  difference.  The  net  present  value,  the  NPV,  properly  does.  So  again,  always  calculate  the  IRR  and  the  NPV,  and  when  you  see  them  giving  different  answers,  one  thing  to  look  for  is  timing  of  the  cash  flows  if  they  differ.        

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Transcript: Multiple IRR Pitfall  One  more  problem  with  the  IRR,  one  more  pitfall,  and  this  has  to  do  when  we  have  a  project,  and  the  cash  flows  flip  at  some  point  over  the  life  of  the  project.  So  we  might  have  an  outflow,  followed  by  an  inflow,  followed  by  another  outflow.  Or  we  could  have  an  inflow,  then  an  outflow,  and  then  an  inflow.  So  there  you  get  the  switch  in  the  signs  of  the  direction  of  the  cash  flows.  So,  here  let's  look  at  project  where  we  have  a  $4,000  initial  investment.  We  have  a  $25,000  inflow,  and  then  a  $25,000  outflow.      Now,  when  you  set  up  the  equation  for  the  IRR,  we're  going  to  get  what  we  call  a  quadratic  equation.  Now,  some  of  you  may  have,  earlier  in  your  schooling,  been  exposed  to  these  quadratic  equations,  and  you  might  have  some  bad  memories  about  that,  but,  if  you  remember,  there's  two  solutions,  two  roots  to  that  quadratic  equation.  So  when  we  have  a  flip  in  the  signs  of  the  cash  flows,  there  are  two  solutions.  And  in  this  case,  it  is  25  percent  and  400  percent  for  the  IRR.  If  we  calculate  the  NPV,  it  is  a  negative  1934  dollars.  Clearly,  this  is  a  bad  deal.  We  don't  want  to  move  ahead  with  this  project,  given  its  negative  NPV.  So,  here's  the  problem,  if  you  have  that  switch  you  really  have  to  go  with  the  I,  excuse  me,  the  NPV.  The  IRR  is  going  to  fail  because  it  has  this  multiple  solution  problem.      So,  when  you're,  again,  always  calculate  NPV,  IRR  and  what's  going  to  help  here  is  the  NPV  is  giving  you  an  answer  where  the  IRR  is  being  nonsensical,  or  maybe  you're  getting  an  error  on  your  spreadsheet,  or  however  you're  solving  this.  What  you  want  to  do  is  go  with  the  NPV  and  one  of  the  things  you  want  to  look  for  is  a  switch  in  the  direction  or  the  sign  of  those  cash  flows.          Transcript: Payback Period  The  payback  period,  the  simplest  of  all  the  capital  budgeting  decision  rules.  Basically  all  it  is,  is  how  long  does  it  take  for  me  or  my  company  to  earn  back  that  initial  investment,  that's  it,  how  long.  And  where  it's  used  is  in  a  variety  of  settings  where  time  is  of  the  essence.  I  need  the  money  back  quickly  to  turn  it  around.  A  very  valuable  piece  of  information,  but  at  the  same  time  it  has  some  drawbacks,  important  drawbacks  that  we'll  learn  about.  One  rule  though  that  actually  tweaks  some  of  those  drawbacks  is  the  discounted  payback  period.  Steve,  perhaps  you  can  talk  a  little  bit  about  that.      >>  Sure,  in  a  discounted  payback  period  model,  all  we  really  do  to  amend  the  original  payback  period  model  is  to  add  to  it,  the  fact  that  we're  using  discounted  cash  flows  instead  of  the  raw  cash  flows,  in  terms  of  looking  at  our  payback.  Whether  or  not  we  use  discounted  paybacks  or  

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payback  period,  we  have  to  keep  in  mind  one  really  important  fact.  The  really  important  fact  is  that  the  motivation  of  a  company  is  not  simply  to  get  paid  back.  It's  actually  to  add  value.      >>  It's  always  a  plus  when  you  get  paid  back  though.      >>  It  is  an  important  thing  to  get  paid  back,  but  it's  not  enough.  It's  really  not  enough.  So,  this  is  as  you  said,  Scott,  one  of  the  simplest,  most  direct  things  that  we  can  calculate  as  a  decision  rule  in  capital  budgeting.  But  it  really  has  limitations.  Sure  so,  a  plus  to  know  how  fast  you  get  paid  back  but,  again  it's  limiting,  again,  used  very  well  with  other  capital  budget  decision  rules.      >>  Correct  and  the  really  great  thing  about  both  payback  period  and  discounted  payback  period  but  especially  payback  period  is  as  they  say  you  literally  can  calculate  it  on  the  back  of  a  napkin  in  a  few  minutes  regardless  of  how  big  the  project  is.      >  Right.      Transcript: Using PBP  The  payback  period.  So,  if  you  ever  read  some  finance  textbooks,  they  beat  up  on  it  pretty  badly.  Kind  of  throw  it  out.  But,  in  practice  it's  often  a  very  useful  tool.  Think  of  a  situation  where  maybe  you're  a  startup.  And  you're  limited  with  cash,  you  really  need  to  get  the  cash  back  from  the  projects  to  put  it  back  into  other  opportunities.  Let's  suppose  your  other  capital  budgeting  rules  are,  are  basically  coming  up  saying  it's  okay,  maybe  you  have  to  choose  between  a  couple.  Both  are  pretty  much  in  the  same  ballpark,  but  the  payback  is  much  quicker  on  one  versus  the  other.  You're  a  startup.  Would  you  rather  have  your  money  back  more  quickly  relative  to  the  other?  I  think  the  answer  is  obvious.  The  answer  is  yes  absolutely  you  do.  So  very  useful  in  that  situation.      >>  One  of  the  reasons  why  that's  really  important  is  that  as  you  go  further  out  to  the  future  the  estimation  of  cash  flows  becomes  more  and  more  difficult.  You  can't  just  assume  that  the  estimation  of  a  cash  flow  that  you  make  in  year  one  is  as  accurate  as  one  that  you're  gone  make  ten  years  from  now.  So,  quicker  payback  period  is  really  important  because  it  relies  less  on  further  out  cash  flows  that  by  their  nature  are  much  more  difficult  to  calculate.      >>  Right  and  that's  again  where  the  art  comes  in.  So,  it's  another  piece  that  you  could  use  to  make  these  decisions.      >>  Right.  Another  thing  that  we  see  happening,  by  the  way  is  in  these  entrepreneurial  environments  where,  because  they're  cash  strapped,  because  they're  they're  unable  to  have  ten  projects  happening  simultaneously,  so,  it's  really  especially  important  for  us  to  recognize  that  in  some  environments  capital  constraints  really  force  us  into  this  payback  period  domain.    

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>>  Right.        Transcript: Profitability Index and Equivalent Annual Cost  Let's  talk  a  little  bit  about  profitability  index.  The  profitability  index  gives  us  a  bang  for  the  buck  calculation.  Essentially,  we  start  out  with  what  the  net  present  value  is  and  then  divide  that  by  the  initial  cost  of  the  investment.  And  that  gives  us  a  sense  of  how  much  we're  going  to  earn  on  the  investment.  How  much  value  we're  going  earn  on  the  investment  per  dollar  of  initial  cost.  This  is  really  important  because  many  companies  face  capital  constraints.  And  in  a  constrained  environment,  whether  or  not  it's  a  physical  constraint,  a  capital  constraint,  profitability  index  is  really  the  way  to  go.      >>  Right,  and  another  really  valuable  capital  budgeting  tool  we're  going  to  learn  about  is  the  equivalent  annual  cost  or  EAC.  Now  this  particular  decision  rule  or  tool  is  very  valuable  when  you  have  some  job  that  needs  to  be  done  and  you  need  to  figure  out  the  most  cost-­‐effective  way  to  do  it.  Now  take,  for  example,  maybe  your  heating  and  cooling  system  has  gone  out  and  you  need  to  replace  it.  What  is  the  best  way  to  move  ahead?  Well  it's  the  most  cost-­‐effective  way,  and  what  the  equivalent  annual  cost  allows  you  to  do  is  compare  a  variety  of  different  solutions,  which  heating  and  cooling  system  is  the  best.      >>  Some  might  last  longer,  some  might  be  shorter.    >>  And  some  might  cost  more.      >>  Higher  cost.      >>  More  efficient.  Entering  all  those  decisions,  and  in  fact,  maybe  you  have  an  old  heating  unit,  and,  what  you  can  do  then,  is  make  a  decision,  do  I  want  to  replace  it  now  with  something  more  efficient?  Or  delay  it.      >>  An  option  to  delay  it.      >>  Or  you  can  wait  and  so  on.  So,  very  useful  tool.  So,  within  the  company  all  kinds  of  possibilities  to  use  this.  I'm  sure  heat  and  cool  your  plant  or  your  office.  You  have  copy  machines,  vehicles  and  so  on.  So,  you  want  to  look  at  each  piece  of  equipment  and  apply  this  tool  and  you  can  figure  out  the  best  way  to  do  things  most  efficiently.      >>  Another  area  that  we'll  use  the  EAC  is  going  to  be  when  we  look  at  regulatory  environments.  It's  particularly  important  for  pollution  control.      

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>>  Absolutely.    >>  Especially  in  the  world  of  global  warming  that  we  have.      >>  Yeah  sure,  environmental  issues  so  sometimes  if  you  have  to  do  it,  what's  the  most  cost  effective  way  to  do  it?      >>  Or  if  you  want  to  do  it  and  there's  no  cash  flow  involved.  Critical  thing  with  the  EAC  is  there's  no  cash  flow,  right.      >>  Correct,  exactly,  at  least  in  inflow.      >>  Right.        Transcript: An EAC Decision  A  very  common  capital  investment  decision  involves  a  situation  where  you  must  replace  an  existing  piece  of  equipment  and  now  must  choose  between  two  or  more  alternative  pieces  of  equipment  that  will  have  different  initial  costs,  useful  lives,  and  annual  operating  costs.  Examples  of  this  kind  fo  decision  include  equipment  like  a  delivery  truck,  a  heating,  ventilation,  and  air  conditioning  system,  an  x-­‐ray  or  CAT  scan  in  a  hospital,  or  an  assembly  machine  in  a  manufacturing  plant.  The  differentiating  factor  with  this  kind  of  decision,  as  opposed  to  all  those  we  have  looked  at  before,  is  that  these  equipment  replacements  are  considered  necessary.  So  we  are  not  deciding  whether  or  not  to  make  the  investment,  instead  what  we  are  trying  to  determine  here  is  which  of  the  alternatives  provides  the  lowest  cost  solution.  To  the  required  replacement  of  the  equipment.      Take  for  example  Big  Red  Trucking,  who  now  must  replace  one  of  their  delivery  trucks.  They  must  decide  between  two  trucks  that  each  fulfill  the  company's  need  for  size  and  accessibility.  Truck  A  costs  $45,000  dollars,  will  last  for  three  years,  and  has  an  operating  cost  which  includes  gas,  maintenance,  and  insurance  of  $12,000  per  year.  Truck  B  only  costs  $30,000  dollars,  however  it  will  last  for  two  years  and  has  an  operating  cost  of  $18,000  dollars  per  year.  Assuming  that  Big  Red  plans  to  be  in  business  indefinitely,  which  truck  should  they  buy?      First,  let's  take  a  look  at  the  cash  flows  and  present  value  cost  of  each  truck.  The  cash  flows  for  each  truck  are  shown  here.  Truck  A  has  an  initial  cost  of  $45,000.  Once  we  take  the  45,000  cost  to  day  along  with  the  12,000  cost  over  three  years,  we  arrive  at  a  present  value  cost  of  74,842.  Now  for  truck  B.  Once  we  consider  the  $30,000  outflow  today  along  with  the  $18,000  cost  over  two  years,  we  arrive  at  a  present  value  cost  of  $61,240.  This  analysis  implies  that  Truck  B  is  the  least  expensive  alternative  as  the  present  value  of  its  total  cost  is  $61,240  240,  which  is  less  

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than  the  present  value  cost  of  Truck  A  at  74,842.  While  it  looks  neat  and  clean,  there  is  a  problem  with  the  analysis  presented  here.  Truck  A  lasts  three  years  while  Truck  B  only  lasts  two  years.  So  we  decide  to  go  with  truck  B  as  the  analysis  suggests  we  should.  What  do  we  do  during  year  three?  For  that  matter,  what  happens  after  year  three?  The  assumption  is  that  Big  Red  Trucking  plans  to  be  in  business  indefinitely.  So  regardless  of  which  truck  we  select,  there  will  need  to  be  a  second,  third  and  more  rounds  of  reinvestments  going  in  to  the  future.  So  how  can  we  adjust  our  analysis  so  that  it  accurately  reflects  the  repeating  reinvestments  in  equipment  over  time?      As  it  turns  out,  there  are  two  methods  we  can  use  to  address  this  issue.  In  the  first  approach  we  can  match  up  the  cycles  so  that  the  timing  of  both  alternatives  line  up.  In  this  particular  case,  that  would  mean  reinvesting  twice  in  truck  A,  and  three  times  in  truck  B.  The  total  horizon  for  the  two  investments  would  now  line  up.  Two  times  three  years  for  truck  A,  and  three  times  two  years  for  truck  B.  Both  equalling  6  years  of  investments.  The  cash  flows  for  these  two  repeating  investments  are  seen  here.  The  present  value  at  ten  percent  of  this  cost  stream,  equals  131,070.  Now  for  truck  B.  The  present  value  of  all  these  costs,  at  ten  percent  would  be  153,670.  Look  at  what  has  happened  when  we  used  the  same  horizon  to  evaluate  both  trucks.  Truck  A  now  has  a  lower  cost  over  the  six  year  horizon  than  truck  B.  So  now  the  best  alternative  is  in  truck  A.  There  are  two  issues  that  we  should  take  note  of  here.  While  lining  up  a  two  year  project  and  a  three  year  project  was  fairly  easy,  where  six  years  is  the  common  denominator  and  it  only  took  two  to  thee  cycles  to  complete  the  process,  it  could  have  been  much  worse.  Imagine  if  we  had  5  and  7  year  alternatives.  Then  we  would  have  had  to  replicate  this  process  out  to  35  years  in  order  to  line  up  the  two  projects.  In  addition  to  this,  we  are  still  making  the  assumption  that  we  are  going  to  reinvest  in  the  same  piece  of  equipment  over  and  over  again.  Changes  in  technology  make  this  assumption  questionable.  What  happens  if  truck  manufacturers  come  out  with  an  efficient  hydrogen  cell  truck  in  five  years?  The  analysis  here  locks  us  into  the  technology  that  we  have  originally  chosen  the  entire  length  of  the  analysis.  Six  years  in  the  example  here.      Luckily  there  is  a  much  easier  and  direct  way  to  solve  this  problem,  without  making  all  of  the  assumptions.  It  is  called  equivalent  annual  cost,  or  EAC.  To  find  the  EAC,  we  go  back  to  the  original  calculation  where  we  compared  a  two  year  and  three  year  investment.  Now  we  take  the  present  value  of  each  truck  and  determine  what  would  be  the  equivalent  cost  over  the  time  horizon  for  each  truck,  three  years  for  truck  A,  And  two  years  for  Truck  B.  We  do  this  by  calculating  the  annuity  amount  that  would  give  you  the  same  present  value  amount  calculated  in  our  example.  Take  for  example  Truck  A.  Truck  A's  present  value  cost  is  $74,842  So  we  need  to  find  the  three  year  annuity  that  would  give  you  the  same  present  dollar  amount  as  the  74,842.  Truck  B's  present  value  is  61,240  So  we  need  to  find  the  two  year  annuity  that  would  give  you  the  same  present  dollar  amount  as  the  61,240.  So  truck  A  costs  less  to  operate  over  its  life  and  we  should  choose  truck  A.  Note  that  this  is  the  same  answer  we  found  in  the  second  approach.  We  arrived  there  without  as  much  computation,  did  not  have  to  bother  with  repeating  the  

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investments  two  or  three  times,  and  did  not  have  to  worry  about  an  assumption  that  we  were  locked  into  the  chosen  technology.      Transcript: Empire Building  The  profitability  index,  remember,  an  important  caveat  is  you  only  want  to  use  it  when  you  have  some  kind  of  constraint.  Now,  typically  that's  a  constraint  on  capital,  or  how  much  money  you  have  to  invest.  Now,  you  might  think  of  a  large  company.  They  have  access  to  the  capital  markets.  They  could  issue  debt,  issue  more  stock.  They  have  plenty  of  cash  rolling  in.  But  often,  even  in  a  company  such  as  that,  what  you're  going  to  have  is  uses  for  the  profitability  index.  Typically  when  capital  budgeting  is  pushed  down  into  the  organization's  division  level,  or  maybe  even  down  further  in  the  organization,  you're  given  capital  constraints.  And  now,  the  idea  there  is  if  you  are  running  this  division  or  this  subgroup  within  the  division,  chances  are  you're  going  to  want  to  grow  your  division  or  your  subgroup  into  a  larger  organization.  It's  human  nature,  we  call  it  empire  building.  And  what  happens  is,  you're  going  to  tend  to  overinvest  and  maybe  make  your  projects  look  a  little  bit  better  than  they  would  when  you  float  them  up  in  your  organization.      So  what  companies  sometimes,  sometimes  do  to  combat  this  is  they  will  give  you  a  capital  budget.  You're  only  allowed  to  invest,  oh,  up  to  so  much.  So,  even  though  the  company  might  not  have  a  capital  constraint  within  the  division,  or  subgroup,  you  will  have  a  capital  constraint.  That  capital  budget.  Here  the  profitability  index  is  very  useful.  How  do  I  best  use  that  capital  budget  to  get  the  most  bang  for  my  company's  buck?  And  that's  exactly  what  the  profitability  index  will  do.  You  might  have  lots  of  great  projects.  It  will  help  you  choose  those  projects  that  take  your  business  the  furthest  as  far  as  creating  wealth.    >>  Also  if  there's  a,  just  a  limiting  factor  within  within  the  company  and  they  do  have  a  capital  constraint,  on  the  margin  as  they  get  to  the  last  five  or  six  projects.      >>  Oh  absolutely.  >>  A  large  company  might  do.      >>  Actually,  actually,  actually  so,  you  might  actually  have  a  company  with  a  real  constraint,  and  again  very  valuable.      >>  Sure.      >>  So,  in  terms  of  the  EAC,  or  the  equivalent  annual  cost,  it's  important  for  us  to  realize  that  again,  there  are  no  cash  inflows  associated  with  these  projects.  They're  just  projects  that  are  going  to  cost  us,  that's  the  idea  between  the  equivalent  annual  cost.  And  what  we  do  in  this  analysis  is  to  make  these  projects  equivalent.  Some  may  last  ten  years.  Some  may  last  five  years  for  the  same  type  of  solution.  So  we'd  have  to  replicate  it,  two  five-­‐year  solutions  for  a  ten-­‐year  solution,  for  example.  This  is  really,  really  germane  right  now  when  you're  seeing  all  these  

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companies  try  to  figure  out  power  options.  You  know,  do  you  go  solar?  Do  you  go  natural  gas?  Given  all  the  natural  gas  that  they're  finding,  for  instance,  here  in  the  United  States.  Even  more  so  internationally.  Cause  internationally,  the  price  of  power,  the  price  of  energy  varies  so  greatly.  So  in  that  kind  of  environment  especially,  using  an  equivalent  annual  cost  analysis  provides  a  company  with  a  really  wide  range  of  options.  >    >  Absolutely.        Transcript: All the Tools  We've  just  been  talking  about  capital  budgeting  decision  rules.  Let's  see  if  I  can  remember  them  all,  Steve.  We  have  the  NPV,  IRR,  payback  period,  discounted  payback  period,  we  have  the  profitability  index,  equivalent  annual  cost,  and  the  return  on  investments  or  ROI.  Did  I  get  them  all?      >>  I  think  so.    >>  Think  so,  all  right  perfect  so  really,  I  always  advise  my  corporate  consulting  customers  and  my  students,  calculate  all  of  them.  They  all  bring  something  to  the  table.  And  when  it's  really  revealing  is  when  the  various  rules  give  you  a  different  answer.  Right,  that  richness,  that  tapestry  is  going  to  give  you  something  to  talk  about.  Some  will  have  a  higher  NPV,  or  some  will  be  favored,  maybe  better  said,  under  the  NPV  rule.  Others  will  be  better,  more  favored,  under  the  payback  period,  or  the  IRR  rule.  Right,  this,  it's  particularly  true  when  we  have  multiple  projects,  and  we  only  can  take  maybe  one  of  them.  Maybe  it's  a  single  piece  of  property.  We  have  different  ways  we  can  develop  it.      >>  Right.      >>  And  each  of  the  rules  might  have  a  different  answer.  And  this  is  when  you  really  have  to  understand  the  pros  and  the  cons  and  work  through.  It  helps  if  you  ask  the  right  kinds  of  questions.      >>  And  this  is  particularly  the  area  where  a  non-­‐financial  manager  will  be  able  to  add  an  incredible  amount  to  the  discussion.  They'll  be  able  to  say  why  it  is,  from  a  marketing  perspective,  or  from  an  HR  perspective,  something  in  this  area  is  better  than  that  area.  Just  because  it  has  a  better  payback,  or  an  IRR,  if  there's  disagreement  in  the  company,  non-­‐financial  managers  have  a  real  opportunity  to  add.      >>  And  exactly  and  that's  really  the  whole  point  of  what  we're  trying  to  do  here  is  to  explain  to  the  non-­‐financial  manager  enough  about  the  finance  and  I  think  we've  successfully  done  that  

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here,  in  that  you  can  now  carry  on  that  dialogue  about  the  capital  budgeting.  So  it's  really  critical  that  you  understand  enough  to  carry  on  that  dialogue,  very  healthy  within  the  firm.      >>  And  I  think  it's  important  to  note  because  I  agree  with  all,  with  my  consulting  contacts  in  the  companies  I  work  with,  it's  fairly  common  for  these  types  of  measures  to  disagree  with  each  other.  They  have  fundamental  differences  amongst  them.  And  therefore,  they  do  wind  up  not  having  the  same  answer.  And  then  you  have  a  lot  of  different  discussion  that  ensues  that's  more  qualitative  than  just  quantitative.      >>  Right.