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Question 4  DDM

For a price of $13, Carla will sell you a share paying a dividend of $1 in one year and every year after that forever. The required return of the stock is 10% pa.

Would you like to Carla's share or politely ?


Question 166  DDM, no explanation

A stock pays annual dividends. It just paid a dividend of $3. The growth rate in the dividend is 4% pa. You estimate that the stock's required return is 10% pa. Both the discount rate and growth rate are given as effective annual rates. Using the dividend discount model, what will be the share price?



Question 190  pay back period

A project has the following cash flows:

Project Cash Flows
Time (yrs) Cash flow ($)
0 -400
1 0
2 500
 

What is the payback period of the project in years?

Normally cash flows are assumed to happen at the given time. But here, assume that the cash flows are received smoothly over the year. So the $500 at time 2 is actually earned smoothly from t=1 to t=2.



Question 333  DDM, time calculation

When using the dividend discount model, care must be taken to avoid using a nominal dividend growth rate that exceeds the country's nominal GDP growth rate. Otherwise the firm is forecast to take over the country since it grows faster than the average business forever.

Suppose a firm's nominal dividend grows at 10% pa forever, and nominal GDP growth is 5% pa forever. The firm's total dividends are currently $1 billion (t=0). The country's GDP is currently $1,000 billion (t=0).

In approximately how many years will the company's total dividends be as large as the country's GDP?



Question 382  Merton model of corporate debt, real option, option

In the Merton model of corporate debt, buying a levered company's shares is equivalent to:



Question 453  DDM, income and capital returns

The perpetuity with growth equation is:

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

Which of the following is NOT equal to the expected capital return as an effective annual rate?



Question 678  option, option profit, no explanation

Which of the below formulas gives the profit ##(\pi)## from being short a put option? Let the underlying asset price at maturity be ##S_T##, the exercise price be ##X_T## and the option price be ##f_{LP,0}##. Note that ##S_T##, ##X_T## and ##f_{LP,0}## are all positive numbers.



Question 712  effective rate conversion

An effective monthly return of 1% ##(r_\text{eff monthly})## is equivalent to an effective annual return ##(r_\text{eff annual})## of:



Question 823  option, option payoff at maturity, option profit, no explanation

A European call option should only be exercised if:



Question 824  option, no explanation

A put option written on a risky non-dividend paying stock will mature in one month. As is normal, assume that the option's exercise price is non-zero and positive ##(K>0)## and the stock has limited liability ##(S>0)##.

Which of the following statements is NOT correct? The put option's: