Free GARP FRM-Part-1 Exam Questions

Sue Johnson, FRM, has an elderly client with a very large asset base. The client intends to start divesting her fortune to various charities. Johnson is on the Board of a local charitable foundation. Johnson most appropriately:

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?

As a fund manager, Bryan Cole, CFA, is responsible for assessing the risk and return parameters of the portfolios he oversees. Cole is currently considering a portfolio consisting of only two stocks. The first stock, Remba Co., has an expected return of 12 percent and a standard deviation of 16 percent. The second stock, Labs, Inc., has an expected return of 18 percent and a standard deviation of 25 percent. The correlation of returns between the two securities is 0.25.Cole has the option of including a third stock in the portfolio. The third stock, Wimset, Inc., has an expected return of 8% and a standard deviation of 10 percent. If Cole constructed an equally weighted portfolio consisting of all three stocks, the portfolio's expected return would be closest to:

A risk manager at a bank is measuring the sensitivity of a bond portfolio to non-parallel shifts in spot rates. The portfolio currently holds a 4-year zero coupon bond and a 7-year zero coupon bond with the following sensitivities to these respective spot rates:Spot rate AND Change in portfolio value for 1-bp increase in spot rate (AUD)4-year -189.277-year -302.45To model the non-parallel movement of the spot rate curve, the manager treats the 2-year, 5-year, and 10-year spot rates as key rates. Given this information, what is the portfolio’s key rate 01 (KR01) for a 1-bp increase in the 5-year rate?

A market risk analyst at a regional bank is calculating the annual VaR of portfolio of investment securities. The portfolio has a current market value of USD 3,700,000 with a daily variance of 0.0004. Assuming there are 250 trading days in a year and the daily portfolio returns are independent and follow the same normal distribution with a mean of zero, what is the estimate of the 1-year VaR at the 95% confidence level?