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Question 28  DDM, income and capital returns

The following equation is the Dividend Discount Model, also known as the 'Gordon Growth Model' or the 'Perpetuity with growth' equation.

### P_{0} = \frac{C_1}{r_{\text{eff}} - g_{\text{eff}}} ###

What would you call the expression ## C_1/P_0 ##?



Question 39  DDM, perpetuity with growth

A stock is expected to pay the following dividends:

Cash Flows of a Stock
Time (yrs) 0 1 2 3 4 ...
Dividend ($) 0.00 1.00 1.05 1.10 1.15 ...
 

After year 4, the annual dividend will grow in perpetuity at 5% pa, so;

  • the dividend at t=5 will be $1.15(1+0.05),
  • the dividend at t=6 will be $1.15(1+0.05)^2, and so on.

The required return on the stock is 10% pa. Both the growth rate and required return are given as effective annual rates. What is the current price of the stock?



Question 141  time calculation, APR, effective rate

You're trying to save enough money to buy your first car which costs $2,500. You can save $100 at the end of each month starting from now. You currently have no money at all. You just opened a bank account with an interest rate of 6% pa payable monthly.

How many months will it take to save enough money to buy the car? Assume that the price of the car will stay the same over time.



Question 237  WACC, Miller and Modigliani, interest tax shield

Which of the following discount rates should be the highest for a levered company? Ignore the costs of financial distress.



Question 283  portfolio risk, correlation, needs refinement

Three important classes of investable risky assets are:

  • Corporate debt which has low total risk,
  • Real estate which has medium total risk,
  • Equity which has high total risk.

Assume that the correlation between total returns on:

  • Corporate debt and real estate is 0.1,
  • Corporate debt and equity is 0.1,
  • Real estate and equity is 0.5.

You are considering investing all of your wealth in one or more of these asset classes. Which portfolio will give the lowest total risk? You are restricted from shorting any of these assets. Disregard returns and the risk-return trade-off, pretend that you are only concerned with minimising risk.



Question 429  takeover

In a takeover deal where the offer is 100% scrip (shares), the merged firm's number of shares will be equal to the sum of the acquirer and target firms' original number of shares. or ?


Question 584  option, option payoff at maturity, option profit

Which of the following statements about European call options on non-dividend paying stocks is NOT correct?



Question 621  market efficiency, technical analysis

Technical traders:



Question 731  DDM, income and capital returns

In the dividend discount model (DDM), share prices fall when dividends are paid. Let the high price before the fall be called the peak, and the low price after the fall be called the trough.

###P_0=\dfrac{C_1}{r-g}###

Which of the following statements about the DDM is NOT correct?



Question 898  comparative advantage in trade, production possibilities curve, no explanation

Adam and Bella are the only people on a remote island. Their production possibility curves are shown in the graph.

Assuming that Adam and Bella cooperate according to the principles of comparative advantage, what will be their combined production possibilities curve?