1. At the beginning of next year, Bob plans to buy a 10-year $1000 par-valued bond with annual coupons at annual coupon rates 5%, priced at annual yield rate 4%. At the same time, Emily buys the same bond with the same price as Bob. However, when every time Emily receives a coupon, in addition she plans to put the coupon payment into another account for reinvestment, and close that account at the end of 10 years. Suppose the reinvestment account has effective annual yield rate 3%.

   (a) Compute the price of the bond that Bob pays.

   (b) Compute the total balance in the reinvestment account before Emily closes it (at the end of 10 years, the last coupon payment is deposited into the reinvestment account, but not the redemption amount of the bond).

   c) Compute the effective annual yield rate of Emily.