Free GARP FRM-Part-1 Exam Questions

Which of the following is not a reason to accumulate loss data?

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:

It is April 15, and a trader is entered into a short position in two soybean meal futures contracts. The contracts expire on August 15, and call for the delivery of 100 tons of soybean meal each. Further, because this is a futures position, it requires the posting of a $3,000 initial margin and a $1,500 maintenance margin per contract. For simplicity, however, assume that the account is marked to market on a monthly basis. Assume the following represent the contract delivery prices (in dollars per ton) that prevail on each settlement date:April 15 (initiation) 173.00May 15 179.75June 15 189.00July 15 182.50August 15 (delivery) 174.25What is the equity value of the margin account on the May 15 settlement date, including any additional equity that is required to meet a margin call?

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?

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?