Below is a set of current (t = 0) prices on a set of zero-coupon bonds. The face value on all of these bonds is $1000. The prices below are quoted per $1000 in face value. In answering the following questions, assume that you can buy fractions of a bond.

Bond                            Price

1-year zero                  950

2-year zero                  900

3-year zero                  860

4-year zero                  790

Also assume, for simplicity, that each of these bonds matures in exactly a multiple of a year from now (now = t = 0)

If you invested in a two-year bond and rolled over into a one-year bond at t = 2, what would the one-year yield at t = 2 have to be in order for you to be indifferent between that strategy and investing in the three-year bond at t = 0?