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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?

Robert Patterson, an options trader, believes that the return on options trading is higher on Mondays than on other days. In order to test his theory, he formulates a null hypothesis.Which of the following would be an appropriate null hypothesis? Returns on Mondays are:

As a research analyst, you're analyzing the probability that the prices of dollar will go below 72 after theupcoming budget. Suppose that the prices of dollar are uniformly distributed with a floor at Rs. 70 and a ceiling atRs. 75 imposed by the government, then what is the probability that the prices of gold will be set below 72?

Call and put option values are most sensitive to changes in the volatility of the underlying when:

Suppose you have a two-security portfolio containing bonds A and B. The book value of bond A is $20 and the market value is $35. The book value of bond B is $40 and the market value is $50. The duration of bond A is 4.7 and the duration of bond B is 5.9. Which of the following amounts is closest to the duration of the portfolio?