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 payments do not begin until 10 years from now (the first cash payment from this security is 11 years from today). Which security has the higher present value of payments? Which 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. (Hint: What does the present value of each security's payments tell you?)