Amy Winehouse

Please help with bond calculation?

This question is in 3 parts, help with any of it will be greatly appreciated! Please explain without using a financial calculator, I more care about how to solve it and the formulas used than the final answer, thanks!

Given are the following spot rates: r1= 5% r2=5.4% r3=5.7% r4= 5.9% r5= 6%

a. What is the present value of i) a 5%, 5 year bond and a ii). 10%, 5 year bond, assuming annual coupons
b. Why is the yield to maturity on the 10% bond less than that on the 5% bond?
c. what should be the yield to maturity on a 5 year zero coupon bond?