You're trying to save enough money to buy your first car which costs $2,500. You can save $100 at the end of each month starting from now. You currently have no money at all. You just opened a bank account with an interest rate of 6% pa payable monthly.
How many months will it take to save enough money to buy the car? Assume that the price of the car will stay the same over time.
A 30 year Japanese government bond was just issued at par with a yield of 1.7% pa. The fixed coupon payments are semi-annual. The bond has a face value of $100.
Six months later, just after the first coupon is paid, the yield of the bond increases to 2% pa. What is the bond's new price?
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 639 option, option payoff at maturity, no explanation
Which of the below formulas gives the payoff ##(f)## at maturity ##(T)## from being short a put option? Let the underlying asset price at maturity be ##S_T## and the exercise price be ##X_T##.
Question 825 future, hedging, tailing the hedge, speculation, no explanation
An equity index fund manager controls a USD500 million diversified equity portfolio with a beta of 0.9. The equity manager expects a significant rally in equity prices next year. The market does not think that this will happen. If the fund manager wishes to increase his portfolio beta to 1.5, how many S&P500 futures should he buy?
The US market equity index is the S&P500. One year CME futures on the S&P500 currently trade at 2,155 points and the spot price is 2,180 points. Each point is worth $250.
The number of one year S&P500 futures contracts that the fund manager should buy is:
A one year European-style put option has a strike price of $4. The option's underlying stock pays no dividends and currently trades at $5. The risk-free interest rate is 10% pa continuously compounded. Use a single step binomial tree to calculate the option price, assuming that the price could rise to $8 ##(u = 1.6)## or fall to $3.125 ##(d = 1/1.6)## in one year. The put option price now is:
Question 872 duration, Macaulay duration, modified duration, portfolio duration
A fixed coupon bond’s modified duration is 20 years, and yields are currently 10% pa compounded annually. Which of the following statements about the bond is NOT correct?
Question 920 SML, CAPM, Sharpe ratio, Treynor ratio, Jensens alpha, no explanation
Over-priced assets should NOT:
Find the Macaulay duration of a 2 year 5% pa semi-annual fixed coupon bond which has a $100 face value and currently has a yield to maturity of 8% pa. The Macaulay duration is: