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Question 92  CAPM, SML, CML

Which statement(s) are correct?

(i) All stocks that plot on the Security Market Line (SML) are fairly priced.

(ii) All stocks that plot above the Security Market Line (SML) are overpriced.

(iii) All fairly priced stocks that plot on the Capital Market Line (CML) have zero idiosyncratic risk.

Select the most correct response:



Question 106  CAPM

A fairly priced stock has an expected return of 15% pa. Treasury bonds yield 5% pa and the market portfolio's expected return is 10% pa. What is the beta of the stock?



Question 110  CAPM, SML, NPV

The security market line (SML) shows the relationship between beta and expected return.

Buying investment projects that plot above the SML would lead to:



Question 307  risk, variance

Let the variance of returns for a share per month be ##\sigma_\text{monthly}^2##.

What is the formula for the variance of the share's returns per year ##(\sigma_\text{yearly}^2)##?

Assume that returns are independently and identically distributed (iid) so they have zero auto correlation, meaning that if the return was higher than average today, it does not indicate that the return tomorrow will be higher or lower than average.



Question 427  takeover

In a takeover deal where the offer is 100% cash, the merged firm's number of shares will be equal to the acquirer firm's original number of shares. or ?


Question 674  CAPM, beta, expected and historical returns

A stock has a beta of 1.5. The market's expected total return is 10% pa and the risk free rate is 5% pa, both given as effective annual rates.

Over the last year, bad economic news was released showing a higher chance of recession. Over this time the share market fell by 1%. So ##r_{m} = (P_{0} - P_{-1})/P_{-1} = -0.01##, where the current time is zero and one year ago is time -1. The risk free rate was unchanged.

What do you think was the stock's historical return over the last year, given as an effective annual rate?



Question 741  APR, effective rate

A home loan company advertises an interest rate of 4.5% pa, payable monthly. Which of the following statements about the interest rate 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.



Question 924  foreign exchange rate, forward foreign exchange rate, arbitrage, forward interest rate, no explanation

Suppose that the yield curve in the United States of America and Australia is flat and that the current:

  • USD federal funds rate is 1% pa;
  • AUD cash rate is 1.5% pa;
  • Spot AUD exchange rate is 1 USD per AUD;
  • One year forward AUD exchange rate is 0.97 USD per AUD.

You suspect that there’s an arbitrage opportunity.

Which one of the following statements about the potential arbitrage opportunity is NOT correct?



Question 944  stock split, bonus issue, stock dividend

A 2-for-1 stock split is equivalent to a 1-for-1 bonus issue or a 100% stock dividend. or ?