PRMIA Related Exams
8006 Exam
The rule that optimal portfolios will maximize the Sharpe ratio only applies when which of the following conditions is satisfied:
I. It is possible to borrow or lend any amounts at the risk free rate
II. Investors' risk preferences are fully described by expected returns and standard deviation
III. Investors are risk neutral
The relationship between covariance and correlation for two assets x and y is expressed by which of the following equations (where covarx,y is the covariance between x and y, σx and σy are the respective standard deviations and ρx,y is the correlation between x and y):
A)

B)

C)

D)
None of the above
A portfolio manager desires a position of $10m in physical gold, but chooses to get the exposure using gold futures to conserve cash. The volatility of gold is 6% a month, while that of gold futures is 7% a month. The covariance of gold and gold futures is 0.00378 a month. How many gold contracts should he hold if each contract is worth $100k in gold?