Free GARP FRM-Part-1 Exam Questions

A newly hired quantitative analyst at a financial institution has been asked by a portfolio manager to calculate the VaR of a portfolio for 10-, 15-, 20-, and 25-day periods. The portfolio manager notices something wrong with the analyst’s calculations. Assuming the annualized volatilities of daily returns for the four periods are equal, and that the daily returns are independently and identically normally distributed with a mean of zero, which of the following VaR estimates for this portfolio is inconsistent with the others?

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:

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 newly hired quantitative analyst at a financial institution has been asked by a portfolio manager to calculate the VaR of a portfolio for 10-, 15-, 20-, and 25-day periods. The portfolio manager notices something wrong with the analyst’s calculations. Assuming the annualized volatilities of daily returns for the four periods are equal, and that the daily returns are independently and identically normally distributed with a mean of zero, which of the following VaR estimates for this portfolio is inconsistent with the others?

Using the Black-Scholes model, compute the value of a European call option using the following imputs:Underlying stock price: $100Exercise price: $90Risk-free interest rate: 5%Volatility: 20%Dividend yield: 0%Time to expiration: one yearThe Black-Scholes call option price is closest to: