Suppose you get for free one of following two securities: (a) an annuity that pays $10,000 at the end of each of the next 6 years; or (b) a perpetuity that pays $10,000 forever, but it does not begin until 10 years from now (the first cash payment from this security is 11 years from today). Which security would you choose if the annual interest rate is 5%? Does your answer change if the interest rate is 10%? Explain why or why not. Suppose a hedge fund manager earns 1% per trading day. There are 250 trading days per year. Answer the following questions: (a) What will be your annual return on $100 invested in her fund if she allows you to reinvest in her fund the 1% you earn each day? (b) What will be your annual return assuming she puts all of your daily earnings into a zero-interest-bearing checking account and pays you everything earned at the end of the year? (c) Can you summarize when it is proper to "annualize" using APR (annual percentage rate) versus EAR (effective annual rate)? Here are some alternative investments you are considering for one year. (i) Bank A promises to pay 8% on your deposit compounded annually. (ii) Bank B promises to pay 8% on your deposit compounded daily. Compare the effective annual rate (EAR) on these investments