**Question 790** mean and median returns, return distribution, arithmetic and geometric averages, continuously compounding rate, log-normal distribution, VaR, confidence interval

A risk manager has identified that their hedge fund’s continuously compounded portfolio returns are normally distributed with a mean of **10**% pa and a standard deviation of **30**% pa. The hedge fund’s portfolio is currently valued at $**100** million. Assume that there is no estimation error in these figures and that the normal cumulative density function at 1.644853627 is 95%.

Which of the following statements is **NOT** correct? All answers are rounded to the nearest dollar.

**Question 791** mean and median returns, return distribution, arithmetic and geometric averages, continuously compounding rate, log-normal distribution, VaR, confidence interval

A risk manager has identified that their pension fund’s continuously compounded portfolio returns are normally distributed with a mean of **5**% pa and a standard deviation of **20**% pa. The fund’s portfolio is currently valued at $**1** million. Assume that there is no estimation error in the above figures. To simplify your calculations, all answers below use **2.33** as an approximation for the normal inverse cumulative density function at **99**%. All answers are rounded to the nearest dollar. Which of the following statements is **NOT** correct?

**Question 792** mean and median returns, return distribution, arithmetic and geometric averages, continuously compounding rate, log-normal distribution, confidence interval

A risk manager has identified that their investment fund’s continuously compounded portfolio returns are normally distributed with a mean of **10**% pa and a standard deviation of **40**% pa. The fund’s portfolio is currently valued at $**1** million. Assume that there is no estimation error in the above figures. To simplify your calculations, all answers below use **2.33** as an approximation for the normal inverse cumulative density function at 99%. All answers are rounded to the nearest dollar. Assume one month is 1/12 of a year. Which of the following statements is **NOT** correct?

**Question 811** log-normal distribution, mean and median returns, return distribution, arithmetic and geometric averages

Which of the following statements about probability distributions is **NOT** correct?

**Question 874** utility, return distribution, log-normal distribution, arithmetic and geometric averages

Who was the first theorist to endorse the maximisiation of the geometric average gross discrete return for investors (not gamblers) since it gave a "...portfolio that has a greater probability of being as valuable or more valuable than any other significantly different portfolio at the end of n years, n being large"?

**Question 921** utility, return distribution, log-normal distribution, arithmetic and geometric averages, no explanation

Who was the first theorist to propose the idea of ‘expected utility’?