Suppose current spot rates (yields to maturity on zero-coupon bonds) are as below: 

r0,1 = 4%, 

r0,2 = 4.25%, 

r0,3 = 5%, and 

r0,4 = 5.20%. 

Here r0,t is the yield-to-maturity on the t-year zero coupon bond.

(a) What is the rate that you can lock in now for lending between years 3 and 4? Briefly describe the transaction that allows you to lend at this rate.

(b) What is the rate that you can lock in now for lending between years 1 and 4? Briefly describe the transaction that allows you to lend at this rate.