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Question 75  WACC, CAPM

A company has:

  • 50 million shares outstanding.
  • The market price of one share is currently $6.
  • The risk-free rate is 5% and the market return is 10%.
  • Market analysts believe that the company's ordinary shares have a beta of 2.
  • The company has 1 million preferred stock which have a face (or par) value of $100 and pay a constant dividend of 10% of par. They currently trade for $80 each.
  • The company's debentures are publicly traded and their market price is equal to 90% of their face value.
  • The debentures have a total face value of $60,000,000 and the current yield to maturity of corporate debentures is 10% per annum. The corporate tax rate is 30%.

What is the company's after-tax weighted average cost of capital (WACC)? Assume a classical tax system.



Question 294  short selling, portfolio weights

Which of the following statements about short-selling is NOT true?



Question 356  NPV, Annuity

Your friend overheard that you need some cash and asks if you would like to borrow some money. She can lend you $5,000 now (t=0), and in return she wants you to pay her back $1,000 in two years (t=2) and every year after that for the next 5 years, so there will be 6 payments of $1,000 from t=2 to t=7 inclusive.

What is the net present value (NPV) of borrowing from your friend?

Assume that banks loan funds at interest rates of 10% pa, given as an effective annual rate.



Question 593  future, arbitrage table

The price of gold is currently $700 per ounce. The forward price for delivery in 1 year is $800. An arbitrageur can borrow money at 10% per annum given as an effective discrete annual rate. Assume that gold is fairly priced and the cost of storing gold is zero.

What is the best way to conduct an arbitrage in this situation? The best arbitrage strategy requires zero capital, has zero risk and makes money straight away. An arbitrageur should sell 1 forward on gold and:



Question 654  future, forward

Which of the following statements about futures and forward contracts is NOT correct?



Question 705  utility, risk aversion, utility function

Mr Blue, Miss Red and Mrs Green are people with different utility functions.

Which of the following statements is NOT correct?

Utility curves



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 788  rights issue, capital raising

A firm wishes to raise $100 million now. The firm's current market value of equity is $300m and the market price per share is $5. They estimate that they'll be able to issue shares in a rights issue at a subscription price of $4. All answers are rounded to 6 decimal places. Ignore the time value of money and assume that all shareholders exercise their rights. Which of the following statements is NOT correct?



Question 860  idiom, hedging, speculation, arbitrage, market making, insider trading, no explanation

Which class of derivatives market trader is NOT principally focused on ‘buying low and selling high’?



Question 904  option, Black-Scholes-Merton option pricing, option on future on stock index

A six month European-style call option on six month S&P500 index futures has a strike price of 2800 points.

The six month futures price on the S&P500 index is currently at 2740.805274 points. The futures underlie the call option.

The S&P500 stock index currently trades at 2700 points. The stock index underlies the futures. The stock index's standard deviation of continuously compounded returns is 25% pa.

The risk-free interest rate is 5% pa continuously compounded.

Use the Black-Scholes-Merton formula to calculate the option price. The call option price now is: