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Question 18  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 is the discount rate '## r_\text{eff} ##' in this equation?



Question 241  Miller and Modigliani, leverage, payout policy, diversification, NPV

One of Miller and Modigliani's (M&M's) important insights is that a firm's managers should not try to achieve a particular level of leverage in a world with zero taxes and perfect information since investors can make their own leverage. Therefore corporate capital structure policy is irrelevant since investors can achieve their own desired leverage at the personal level by borrowing or lending on their own.

This principal of 'home-made' or 'do-it-yourself' leverage can also be applied to other topics. Read the following statements to decide which are true:

(I) Payout policy: a firm's managers should not try to achieve a particular pattern of equity payout.

(II) Agency costs: a firm's managers should not try to minimise agency costs.

(III) Diversification: a firm's managers should not try to diversify across industries.

(IV) Shareholder wealth: a firm's managers should not try to maximise shareholders' wealth.

Which of the above statement(s) are true?



Question 288  Annuity

There are many ways to write the ordinary annuity formula.

Which of the following is NOT equal to the ordinary annuity formula?



Question 289  DDM, expected and historical returns, ROE

In the dividend discount model:

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

The return ##r## is supposed to be the:



Question 478  income and capital returns

Total cash flows can be broken into income and capital cash flows. What is the name given to the income cash flow from owning shares?



Question 587  option

Which of the following statements about option contracts is NOT correct? For every:



Question 728  inflation, real and nominal returns and cash flows, income and capital returns, no explanation

Which of the following statements about gold is NOT correct? Assume that the gold price increases by inflation. Gold has a:



Question 746  pay back period

A stock is expected to pay a dividend of $1 in one year. Its future annual dividends are expected to grow by 10% pa. So the first dividend of $1 is in one year, and the year after that the dividend will be $1.1 (=1*(1+0.1)^1), and a year later $1.21 (=1*(1+0.1)^2) and so on forever.

Its required total return is 30% pa. The total required return and growth rate of dividends are given as effective annual rates. The stock is fairly priced.

Calculate the pay back period of buying the stock and holding onto it forever, assuming that the dividends are received as at each time, not smoothly over each year.



Question 809  Markowitz portfolio theory, CAPM, Jensens alpha, CML, systematic and idiosyncratic risk

A graph of assets’ expected returns ##(\mu)## versus standard deviations ##(\sigma)## is given in the graph below. The CML is the capital market line.

Image of CML graph

Which of the following statements about this graph, Markowitz portfolio theory and the Capital Asset Pricing Model (CAPM) theory is NOT correct?



Question 948  VaR, expected shortfall

Below is a historical sample of returns on the S&P500 capital index.

S&P500 Capital Index Daily Returns
Ranked from Best to Worst
10,000 trading days from 4th August 1977 to
24 March 2017 based on closing prices.
Rank Date
(DD-MM-YY)
Continuously compounded
daily return (% per day)
1 21-10-87 9.23
2 08-03-83 8.97
3 13-11-08 8.3
4 30-09-08 8.09
5 28-10-08 8.01
6 29-10-87 7.28
9980 11-12-08 -5.51
9981 22-10-08 -5.51
9982 08-08-11 -5.54
9983 22-09-08 -5.64
9984 11-09-86 -5.69
9985 30-11-87 -5.88
9986 14-04-00 -5.99
9987 07-10-98 -6.06
9988 08-01-88 -6.51
9989 27-10-97 -6.55
9990 13-10-89 -6.62
9991 15-10-08 -6.71
9992 29-09-08 -6.85
9993 07-10-08 -6.91
9994 14-11-08 -7.64
9995 01-12-08 -7.79
9996 29-10-08 -8.05
9997 26-10-87 -8.4
9998 31-08-98 -8.45
9999 09-10-08 -12.9
10000 19-10-87 -23.36
 
Mean of all 10,000: 0.0354
Sample standard deviation of all 10,000: 1.2062
Sources: Bloomberg and S&P.
 

 

Assume that the one-tail Z-statistic corresponding to a probability of 99.9% is exactly 3.09. Which of the following statements is NOT correct? Based on the historical data, the 99.9% daily: