What is the duration of a 10 year zero coupon bond. Assume the bond is callable (ie, the issuer can buy it
back) at face value at any time during its existence.
A fund manager buys a gold futures contract at $1000 per troy ounce, each contract being worth 100 ounces
of gold. Initial margin is $5,000 per contract, and the exchange requires a maintenance margin to be
maintained at $4,000 per contract. Prices fall the next day to $980. What is the margin call the fund manager
faces in respect of daily variation margin ?
What is the standard deviation (in dollars) of a portfolio worth $10,000, of which $4,000 is invested in Stock
A, with an expected return of 10% and standard deviation of 20%; and the rest in Stock B, with an expected
return of 12% and a standard deviation of 25%. The correlation between the two stocks is 0.6.