Please show step by step for a, b, and c. Thank you!

Assume you have a one-year investment horizon and are trying to choose among three bonds. All have the same degree of default risk and mature in 10 years. The first is a zero-coupon bond that pays $1,000 at maturity. The second has an 8.6% coupon rate and pays the $86 coupon once per year. The third has a 10.6% coupon rate and pays the $106 coupon once per year. Assume that all bonds are compounded annually. Required: a. If all three bonds are now priced to yield 8.6% to maturity, what are their prices? (Do not round intermediate calculations. Round your answers to 2 decimal places.) b. If you expect their yields to maturity to be 8.6% at the beginning of next year, what will their prices be then? (Do not round intermediate calculations. Round your answers to 2 decimal places.) c. What is your rate of return on each bond during the one-year holding period? (Do not round intermediate calculations. Round your answers to 2 decimal places.)