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Question 51  DDM

A stock pays semi-annual dividends. It just paid a dividend of $10. The growth rate in the dividend is 1% every 6 months, given as an effective 6 month rate. You estimate that the stock's required return is 21% pa, as an effective annual rate.

Using the dividend discount model, what will be the share price?



Question 64  inflation, real and nominal returns and cash flows, APR, effective rate

In Germany, nominal yields on semi-annual coupon paying Government Bonds with 2 years until maturity are currently 0.04% pa.

The inflation rate is currently 1.4% pa, given as an APR compounding per quarter. The inflation rate is not expected to change over the next 2 years.

What is the real yield on these bonds, given as an APR compounding every 6 months?



Question 152  NPV, Annuity

The following cash flows are expected:

  • 10 yearly payments of $80, with the first payment in 3 years from now (first payment at t=3).
  • 1 payment of $600 in 5 years and 6 months (t=5.5) from now.

What is the NPV of the cash flows if the discount rate is 10% given as an effective annual rate?



Question 396  real option, option

Your firm's research scientists can begin an exciting new project at a cost of $10m now, after which there’s a:

  • 70% chance that cash flows will be $1m per year forever, starting in 5 years (t=5). This is the A state of the world.
  • 20% chance that cash flows will be $3m per year forever, starting in 5 years (t=5). This is the B state of the world.
  • 10% chance of a major break through in which case the cash flows will be $20m per year forever starting in 5 years (t=5), or instead, the project can be expanded by investing another $10m (at t=5) which is expected to give cash flows of $60m per year forever, starting at year 9 (t=9). Note that the perpetual cash flows are either the $20m from year 4 onwards, or the $60m from year 9 onwards after the additional $10m year 5 investment, but not both. This is the C state of the world.

The firm's cost of capital is 10% pa.

What's the present value (at t=0) of the option to expand in year 5?



Question 445  financing decision, corporate financial decision theory

The financing decision primarily affects which part of a business?



Question 466  limited liability, business structure

Which business structure or structures have the advantage of limited liability for equity investors?



Question 467  book and market values

Which of the following statements about book and market equity is NOT correct?



Question 565  correlation

What is the correlation of a variable X with a constant C?

The corr(X, C) or ##\rho_{X,C}## equals:



Question 789  rights issue, capital raising

A firm wishes to raise $30 million now. The firm's current market value of equity is $60m and the market price per share is $20. They estimate that they'll be able to issue shares in a rights issue at a subscription price of $15. Ignore the time value of money and assume that all shareholders exercise their rights. Which of the following statements is NOT correct?



Question 874  utility, return distribution, log-normal distribution, arithmetic and geometric averages

Who was the first theorist to endorse the maximisiation of the geometric average gross discrete return for investors (not gamblers) since it gave a "...portfolio that has a greater probability of being as valuable or more valuable than any other significantly different portfolio at the end of n years, n being large"?

(a) Daniel Bernoulli.