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Question 27  bill pricing, simple interest rate

A 180-day Bank Accepted Bill has a face value of $1,000,000. The interest rate is 8% pa and there are 365 days in the year. What is its price now?



Question 53  bond pricing

A two year Government bond has a face value of $100, a yield of 2.5% pa and a fixed coupon rate of 0.5% pa, paid semi-annually. What is its price?



Question 199  NPV, DDM, no explanation

A stock is expected to pay the following dividends:

Cash Flows of a Stock
Time (yrs) 0 1 2 3 4 ...
Dividend ($) 0 6 12 18 20 ...
 

After year 4, the dividend will grow in perpetuity at 5% pa. The required return of the stock is 10% pa. Both the growth rate and required return are given as effective annual rates.

What will be the price of the stock in 7 years (t = 7), just after the dividend at that time has been paid?



Question 204  time calculation, fully amortising loan, APR

You just signed up for a 30 year fully amortising mortgage loan with monthly payments of $1,500 per month. The interest rate is 9% pa which is not expected to change.

To your surprise, you can actually afford to pay $2,000 per month and your mortgage allows early repayments without fees. If you maintain these higher monthly payments, how long will it take to pay off your mortgage?



Question 223  CFFA, interest tax shield

Which one of the following will increase the Cash Flow From Assets in this year for a tax-paying firm, all else remaining constant?



Question 433  Merton model of corporate debt, real option, option, no explanation

A risky firm will last for one period only (t=0 to 1), then it will be liquidated. So it's assets will be sold and the debt holders and equity holders will be paid out in that order. The firm has the following quantities:

##V## = Market value of assets.

##E## = Market value of (levered) equity.

##D## = Market value of zero coupon bonds.

##F_1## = Total face value of zero coupon bonds which is promised to be paid in one year.

What is the payoff to equity holders at maturity, assuming that they keep their shares until maturity?



Question 604  inflation, real and nominal returns and cash flows

Apples and oranges currently cost $1 each. Inflation is 5% pa, and apples and oranges are equally affected by this inflation rate. Note that when payments are not specified as real, as in this question, they're conventionally assumed to be nominal.

Which of the following statements is NOT correct?



Question 673  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.

In the last 5 minutes, bad economic news was released showing a higher chance of recession. Over this time the share market fell by 1%. The risk free rate was unchanged.

What do you think was the stock's historical return over the last 5 minutes, given as an effective 5 minute rate?



Question 839  option, put call parity

A stock, a call, a put and a bond are available to trade. The call and put options' underlying asset is the stock they and have the same strike prices, ##K_T##.

You are currently long the stock. You want to hedge your long stock position without actually trading the stock. How would you do this?



Question 876  foreign exchange rate, forward foreign exchange rate, cross currency interest rate parity

Suppose the yield curve in the USA and Germany is flat and the:

  • USD federal funds rate at the Federal Reserve is 1% pa;
  • EUR deposit facility at the European Central Bank is -0.4% pa (note the negative sign);
  • Spot EUR exchange rate is 1 USD per EUR;
  • One year forward EUR exchange rate is 1.011 USD per EUR.

You suspect that there’s an arbitrage opportunity. Which one of the following statements about the potential arbitrage opportunity is NOT correct?