week 6 slides (1)

17
COMMERCIAL PROPERTY VALUATION USING CAP RATE (YIELDS)

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Page 1: Week 6 slides (1)

COMMERCIAL PROPERTY VALUATION USING CAP RATE (YIELDS)

Page 2: Week 6 slides (1)

Topics covered

• Rationale, role of valuations and required competencies for valuation

• The simple Net Initial Yield approach to commercial property valuation

Page 3: Week 6 slides (1)

1. Rationale, role of valuations and required competencies for valuation

Page 4: Week 6 slides (1)

To estimate Market Value for

–Doing deals (setting asking prices, working out what the ’going rate’ is for a property)

–Measuring investment performance (capital, income and total returns)

–Borrowing against the properties (banks always want to know the value of the collateral)

–Financial reporting (balance sheet, company accounts)

Page 5: Week 6 slides (1)

It is about

• Capitalising (transforming into a capital value)• Rental• Income • Streams

Page 6: Week 6 slides (1)

For example…

• Let’s say that you wanted to put a value on the right to get £100 every year for the next four years. You want to capitalise (i.e put a capital value on) this income stream. The capitalisation rate is 10%.

Page 7: Week 6 slides (1)

You could value the right to get £100 for four years using a cash flow. This is a fixed income for a fixed period.

Year Income1 £100.002 £100.003 £100.004 £100.00

PV factor0.90910.82640.75130.6830

DCF£90.91£82.64£75.13£68.30

Total £316.99As a formula this is: £100*1+0.1-1 + £100*1+0.1-2 +£100*1+0.1-3 +£100*1+0.1-4

1.0

)1.1(1(100

4Via geometric summation, this can be shortened to…

Page 8: Week 6 slides (1)

Capitalising Perpetual Fixed Income Streams

• Let’s say that you have to put a value on the right to get £100 per annum forever (i.e. in perpetuity)

• If you look at the previous equation…. and the (1+i)-n part in the top right.

• The larger ‘n’, the smaller this part of the equation becomes.

• When it is infinity , then this part of the equation becomes zero.

Page 9: Week 6 slides (1)

Fixed perpetual incomes are really simple

This becomes zero and we are left with…

i

01i

1Which is the same as

So in order to get the capital value the right to receive the right to receive £100 per annum forever, it’s basically £100 times 1 divided by the capitalisation rate or just £100 divided by the capitalisation rate.

Page 10: Week 6 slides (1)

The Simple Net Initial Yield Approach to Commercial Property Valuation

Page 11: Week 6 slides (1)

The Simple Net Initial Yield Approach

• Ignoring transaction costs, you need to obtain and process two pieces of information to get the value of a commercial property when using the NIY approach

• The current rent paid• The Net Initial Yield (this is a capitalisation rate)• The first is a fact. It is the contractually agreed rent. • The second is an estimate. The estimate is based

upon analysing deals involving comparable properties

Page 12: Week 6 slides (1)

For example

• You have been instructed to estimate the Market Value of a shop on Oxford Street let three years ago to Samsung on a 15 year lease with upwardly only rent reviews every five years

at a rent of £130,000 per annum. The Market Rent is now £175,000 per annum.

• What is the only relevant (to an NIY valuation) piece of information here?

Page 13: Week 6 slides (1)

The comparable…

• A similar shop nearby recently sold for

£3,653,000. It was let to The Gap two years and three months ago on a 15 year lease with upwardly only rent reviews every five years at a

rent of £146,100 per annum. The Market Rent is now estimated to be £200,000 per annum.”

• What are the two relevant facts here?

Page 14: Week 6 slides (1)

Analysing the Comparable

• Net Initial Yield is an expression of the relationship between the amount invested and the rental income.

• The total amount invested is price paid plus buying costs such as Stamp Duty (4% of price paid for commercial properties over £500,000), agents’ commission, legal fees , surveys, VAT on above. They work out (as I write) at about 5.8% of price paid in total – in the UK.

• The total invested in the comparable was?• £3,864,645• …and the Net Initial Yield was• £146,100 divided by £3,864,645 – 3.78%

Page 15: Week 6 slides (1)

Market Value• Going back to the subject pproperty…So £130,000

divided by 3.78% is £3,439,153. • This is the valuation before deduction of acquisition

costs• The easiest way to get to the Market Value is just to

divide £3.439 million by 1.058. • That just over £3.25 million• All you need to remember is that when working out

yields, it is normal to add on costs to the price paid. When doing a valuation in the UK, it is standard to take off transaction costs. You do that by dividing the valuation gross of transaction costs by 1+transaction costs.

Page 16: Week 6 slides (1)

You can value any income producing property like that

• A UK textbook would have something like…

Rent passing £130,000

Years Purchase in perpetuity @ 3.78% 26.4550

Valuation (gross of costs) £3,493,153

Valuation (net of costs) £3,250,000

Page 17: Week 6 slides (1)

Expectations about rental growth are included in the cap rate/yield:let’s say that we want to put a value on the right to get £100 for the next ten years (I

can’t show forever) but it is expected to grow at 3% a year and we have a target rate of return of 10%

• The obvious thing to do is to grow the income in a cash flow and discount at 10% i.e. change the cash flow to reflect growth.

Period Income PV factor @ 10% DCF1 £103.00 0.9091 £93.642 £106.09 0.8264 £87.683 £109.27 0.7513 £82.104 £112.55 0.6830 £76.875 £115.93 0.6209 £71.986 £119.41 0.5645 £67.407 £122.99 0.5132 £63.118 £126.68 0.4665 £59.109 £130.48 0.4241 £55.34

10 £134.39 0.3855 £51.81

Total £709.03

A less obvious thing to do is to change the discount rate

Period Income PV factor @ 6.7961% DCF1 £100.00 0.9364 £93.642 £100.00 0.8768 £87.683 £100.00 0.8210 £82.104 £100.00 0.7687 £76.875 £100.00 0.7198 £71.986 £100.00 0.6740 £67.407 £100.00 0.6311 £63.118 £100.00 0.5910 £59.109 £100.00 0.5534 £55.34

10 £100.00 0.5181 £51.81

Total £709.03

So we value a growing income in two ways – by changing the cash flow or by changing the discount rate. Of course, you don’t need to do a cash flow if it is in the discount rate, you just use. 0.067961

)(1.067961(1100

10

This can be obtained by (1+i)/(1+g)-1: (1.1)/(1.03)-1

If it was £100 growing at 3% p.a. forever, rather than 10 years, it is just £100/0.067961 = £1471.43