Free GARP FRM-Part-1 Exam Questions

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 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 $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 manager at an investment bank is examining the forward and futures contracts the bank’s clients use as hedging instruments. The manager compares the way the two types of contracts are priced, how profits and losses are calculated, and how decisions to offset or deliver against the contracts are made. Which of the following statements is correct?

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?