Amy buys a 20-year $100,000 par value bond, with 4% annual coupons. The price of the bond assumes a annual yield of 3.2%. As Amy receives each coupon payment, she immediately puts the money into an account earning interest at an annual effective rate of i. At the end of 20 years, immediately after Amy receives the final coupon payment and the redemption value of the bond, she has earned an annual effective yield of 5.4% on her twenty-year investment.

a) Find the price of the bond.

b)Find the balance of Amy's investment at the end of the period.

c) Find the interest rate i.