fe170622067bd4097b6fefb9133141d6 excel essentials for beginners templates workbook
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Discrete Annual Compound Interest
Interest Rate
Year Cash Balance
0 1,000.001
2
3
4
5
!
"
#
10
$%&ord 'ni(ersit) *ress +2011 pp. "3-#3
ote/ his discrete annual compound interest e%ample is &rom imon Bennina, Principles of F
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inance with Excel, Second Edition
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%cel uses standard *DA order o& operations &or
*arentheses, %ponents, ultiplication and Di(ision, a
*arentheses +-3%ponents - use caret 7 +&or e%a
ultiplication - use asteris: ;
Di(ision - use slash e >ant +-3+4=2 ? 1"
?-3;4=2
Assume >e >ant +3
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rithmetic
nd Addition and u6traction
ple, si% s8uared is 729 s8uare root o& si% is 7+.5
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%ample
natural lo lo to the 6ase e o& 1.5
ln
lo to the 6ase 2 lo to the 6ase 2 o& 1.5lo+num6er, 6ase
pi 1 di(ided 6) the s8uare root o& pi
pi+
random num6er 6et>een 0 and 1
?rand+
A B C D
1
2
3
4
5
6
7
8
9
10
11
12
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Ad@usted monthl) closin prices +&rom Yahoo nance
Date S&P 500 Index Duke Energy Stock
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4
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#
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2
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!
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onthl) continuousl) compounded +lo returns
S&P 500 Index Duke Energy Stock
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1! months - 1!5 returns
return data located ro>s 4 - 1!"
Functions on one column at a time
S&P 500 Index Duke Energy Stock
a(erae monthl) return
a(erae annual return
standard de(iation o& monthl) returns
annualied standard de(iation o& returns
minimum
ma%imum
Functions on two columns at the same time (ordered pairs)
S&P 500 Index - x axis Duke Energy Stock - y axis
Description of best-t (regression) line - Duke on SP !""
slope
)-intercept
correlation
R-s8uared
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14.5" )ears
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Date S&P 500 Index Duke Energy Stock
2
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5
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1
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Discrete Annual Compound Interest 'se $EFR >hen G+% ? )
>ant ) at a certain (alue,
Interest Rate >ant ) at a ma%imum or
10.00 i(en certain constraints o
Year Cash Balance0 H1,000.00
1 H1,100.00
2 H1,210.00
3 H1,331.00
4 H1,44.10
5 H1,10.51
H1,!!1.5
! H1,#4".!2
" H2,143.5#
# H2,35!.#510 H2,5#3.!4
use ol(er to calculate
+1 hat discrete annual interest rate, at an initial 6alance o& H1,000
+2 hat initial 6alance, at an interest rate o& 10, results in H5,000
+3 Challene pro6lem
uppose )ou >anted to :no>/ a&ter ho> man) )ears >ill H1000 at !
Kint/ this re8uires re-structurin the &ormula so that the chanin nu
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, or G+%1, %2, %3, etc ? ).
r
inimum,
n (alues o& %.
, results in H5,000 a&ter 10 )earsJ
a&ter 10 )earsJ
6e >orth H5,000J
m6er o& )ears is located in one cell location
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Discrete Annual Compound Interest
Interest Rate
!.00
Year Cash Balance
0 H1,000.00
1 H1,0!0.00
2 H1,144.#0
3 H1,225.04
4 H1,310."0
5 H1,402.55 H1,500.!3
! H1,05.!"
" H1,!1".1#
# H1,"3".4
10 H1,#!.15
A&ter ho> man) )ears >ill H1000 at ! 6e >orth H5,0
num6er o& )ears 10
restated &ormula
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0J
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Cop)riht Daniel
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er< Attri6ution 4.0 Inter
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ational +CC BY 4.0