23. A bond subject to default is equivalent to
a. a payer swaption
b. a call and a default-free bond
c. a put and a call
d. a default-free bond and a short put
e. none of the above
24. Which of the following instruments could be used to execute a delta, gamma and vega hedge?
a. a swap
b. an option
c. a futures
d. an FRA
e. none of the above
25. Which of the following is approximately the Value at Risk at 5 percent of a portfolio of $10 million of asset
A, whose expected return is 15 percent and volatility is 35 percent, and $15 million of asset B, whose
expected return is 21 percent and volatility is 30 percent, where the correlation between the two assets is 0.2.
a. $5.6 million
b. $10 million
c. $15 million
d. $1.25 million
e. none of the above
26. A delta-hedged position is one in which the
a. combined spot and derivatives positions have a delta of one.
b. spot position has a delta of zero.
c. derivatives position has a delta of zero.
d. combined spot and derivatives positions have a delta of zero.
e. combined spot and derivatives positions have a gamma of zero.
27. A delta and gamma hedge is
a. one in which the combined spot and derivatives positions have a delta of zero and a gamma of zero.
b. one that is not guaranteed to be free of all risks
c. effective only for small changes in the underlying instrument.
d. all of the above statements are true
e. none of the above statements are true
28. Which of the following positions has a negative vega?
a. Receive fixed and pay floating LIBOR-based interest rate swap contract
b. Short cattle futures contract
c. Receive floating, pay fixed LIBOR-based forward rate agreement
d. Long Apple, Inc. put option
e. Short S&P 500 index call option
29. Delta, gamma, and vega hedging is rather complex. Identify the false statement.
a. Requires the use of four hedging instruments
b. At least one of the instruments has to be an option
c. Involves designing a portfolio where delta, gamma, and vega are set equal to zero
d. Typically involves the solution to three simultaneous equations
e. All of the above statements are true