1. What is the price of a bill with 45 days to maturity, a face value of $1000,000 and a yield of 6.75% p.a.?

1.      What is the price of a bill with 45 days to maturity, a face value of $1000,000 and a yield of 6.75% p.a.?

2.      An asset has a standard deviation of 15% and a correlation with the market portfolio of 0.46. If the market has a standard deviation of 25%, what is the beta of the asset?

3.      A portfolio has a return of 5% and a standard deviation of 10%. If the risk-free rate is 2%, calculate the Sharpe index for the portfolio.