Free GARP FRM-Part-1 Exam Questions

A $2 million balanced portfolio is comprised of 40 percent stocks and 60 percent intermediate bonds. For the next year, the expected return on the stock component is 9 percent and the expected return on the bond component is 6 percent. The standard deviation of the stock component is 18 percent and the standard deviation of the bond component is 8 percent. What is the annual VAR for the portfolio at a 1 percent probability level if the correlation between the stock and the bond component is 0.25?

An analyst is using key rate shifts to model the term structure of interest rates. For key rates the analyst has chosen the 1-year, 7-year, and 20-year yields. The rate changes that will have an e ect on a 5-year bond are:

Bonds rated B have a 25% chance of default in five years. Bonds rated CCC have a 40% chance of default in five years. A portfolio consists of 30% B and 70% CCC-rated bonds. If a randomly selected bond defaults in a five-year period, what is the probability that it was a Brated bond?

It is April 15, and a trader is entered into a short position in two soybean meal futures contracts. The contracts expire on August 15, and call for the delivery of 100 tons of soybean meal each. Further, because this is a futures position, it requires the posting of a $3,000 initial margin and a $1,500 maintenance margin per contract. For simplicity, however, assume that the account is marked to market on a monthly basis. Assume the following represent the contract delivery prices (in dollars per ton) that prevail on each settlement date:April 15 (initiation) 173.00May 15 179.75June 15 189.00July 15 182.50August 15 (delivery) 174.25What is the equity value of the margin account on the May 15 settlement date, including any additional equity that is required to meet a margin call?

A fund holds $10 million nominal of the XYZ 5.5% 30-year bond. It enters into a one month dollar roll with arepo dealer bank in which it sells the security at a price of 100-08 and buys it back at a forward price of par.Assuming that the security experiences a 2% paydown (scheduled principal plus prepayments) during the term ofthe trade, estimate the value of the drop.