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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:

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?

A risk analyst uses the bootstrap method to assess the market risk of a global equity portfolio that experienced significant volatility in the recent past. The analyst applies independent and identically distributed (IID) bootstrapping to the extracted standardized residuals of the fitted model, and these bootstrapped standardized residuals are then used to generate time paths of future asset returns. In the final step, the simulated data is used to estimate the VaR of the global equity portfolio over a 1-month horizon. Which of the following will the analyst find to be correct when applying the IID bootstrap method?

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?

Portfolio A has total assets of $14 million and an expected return of 12.50 percent. Historical VAR of the portfolio at 5 percent probability level is $2,400,000. What is the portfolio's standard deviation?