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Question 38  bond pricing

A two year Government bond has a face value of $100, a yield of 0.5% and a fixed coupon rate of 0.5%, 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 488  income and capital returns, payout policy, payout ratio, DDM

Two companies BigDiv and ZeroDiv are exactly the same except for their dividend payouts.

BigDiv pays large dividends and ZeroDiv doesn't pay any dividends.

Currently the two firms have the same earnings, assets, number of shares, share price, expected total return and risk.

Assume a perfect world with no taxes, no transaction costs, no asymmetric information and that all assets including business projects are fairly priced and therefore zero-NPV.

All things remaining equal, which of the following statements is NOT correct?



Question 581  APR, effective rate, effective rate conversion

A home loan company advertises an interest rate of 6% pa, payable monthly. Which of the following statements about the interest rate is NOT correct? All rates are given to four decimal places.



Question 617  systematic and idiosyncratic risk, risk, CAPM

A stock's required total return will increase when its:



Question 638  option, option payoff at maturity, no explanation

Which of the below formulas gives the payoff ##(f)## at maturity ##(T)## from being long a put option? Let the underlying asset price at maturity be ##S_T## and the exercise price be ##X_T##.



Question 688  future, hedging

A pig farmer in the US is worried about the price of hogs falling and wants to lock in a price now. In one year the pig farmer intends to sell 1,000,000 pounds of hogs. Luckily, one year CME lean hog futures expire on the exact day that he wishes to sell his pigs. The futures have a notional principal of 40,000 pounds (about 18 metric tons) and currently trade at a price of 63.85 cents per pound. The underlying lean hogs spot price is 77.15 cents per pound. The correlation between the futures price and the underlying hogs price is one and the standard deviations are both 4 cents per pound. The initial margin is USD1,500 and the maintenance margin is USD1,200 per futures contract.

Which of the below statements is NOT correct?



Question 725  return distribution, mean and median returns

If a stock's future expected effective annual returns are log-normally distributed, what will be bigger, the stock's or effective annual return? Or would you expect them to be ?


Question 784  boot strapping zero coupon yield, forward interest rate, term structure of interest rates

Information about three risk free Government bonds is given in the table below.

Federal Treasury Bond Data
Maturity Yield to maturity Coupon rate Face value Price
(years) (pa, compounding annually) (pa, paid annually) ($) ($)
1 0% 2% 100 102
2 1% 2% 100 101.9703951
3 2% 2% 100 100
 

 

Based on the above government bonds' yields to maturity, which of the below statements about the spot zero rates and forward zero rates is NOT correct?