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Real Estate Finance and Investments

Real Estate Finance and Investments – Fall 2011

Homework 2

Question 1

The equity REIT A currently (current time is end of 2005) trades at $120/share. In the past year, the realized rate of return on A has been 10%, and A’s cap rate at the beginning of year was 13%. REIT A distributed all of its NOI in the past year to its shareholders in the form of dividends. What was the trading price of A at the beginning of 2005?1

Question 2

Consider the following projected cash ‡ows (including reversion) for Property

A and Property B for the following 10 years.

Annual net cash ‡ow projections for two properties ($ millions)

1

2

3

4

5

6

7

8

9

10

A

$1.0000

$1.0050

$1.0100

$1.0151

$1.0202

$1.0253

$1.0304

$1.0355

$1.0407

$12.7252

B

$1.0000

$1.0200

$1.0404

$1.0612

$1.0824

$1.1041

$1.1262

$1.1487

$1.1717

$14.7395

a. What is the annual growth rate in operating cash ‡ows for each building during the …rst nine years?

b. If both properties sell at cap rates (initial and terminal cash yields) of 9%, what is the expected annual return on a 10-year investment in each property?

c. If the 9% cap rate represents a fair market value for each property, then which property is the more risky investment (and how do you know)?

Question 3

You are considering investing in Property B in question 2. The listing price of the property is $11 million. You know that the historical annual returns on this type of property has been 10%, and the historical risk premium on this type of property has been 5.5%. In alternative investments tools, the prices of zero coupon treasury bonds are as follows:

Prices of zero coupon treasury bonds (denomination = $1,000)

Maturity(yr)

1

2

3

4

5

6

7

8

9

10

Price

$971

$934

$889

$839

$784

$725

$665

$604

$544

$485

How much is the property worth? Is this a good investment opportunity?2

1 Hint: Start with the de…nition of return. Write the return to REIT A in 2005. The answer will be staring at you …

2 Hint: You can calculate the risk free rates at di¤erent maturities from the Treasury bond

prices; i.e., Pt =

1000

:

(1+rft)

t

1

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