Free GARP FRM-Part-1 Exam Questions

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?

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 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?

An analyst is currently considering a portfolio consisting of two stocks. The first stock, Remba Co., has an expected return of 12% and a standard deviation of 16%. The second stock, Labs, Inc., has an expected return of 18% and a standard deviation of 25%. The correlation of returns between the two securities is 0.25.If the analyst forms a portfolio with 30% in Remba and 70% in Labs, what is the portfolio's expected return?

Suppose a bond with a par value of 1000 has coupon payments of 10% per annum and a yield to maturity of5%. If the bond has 4 years to maturity, what is the price of the bond?