One method used to obtain an estimate of the term structure of interest rates is called bootstrapping. Suppose you have a one-year zero coupon bond with a rate of r₁ and a two-year bond with an annual coupon payment of C. To bootstrap the two-year rate, you can set up the following equation for the price (P) of the coupon bond:

P = (C₁ / 1 + r₁) + (C₂ + Par Value)/( (1 + r₂)²)

Because you can observe all of the variables except r₂, the spot rate for two years, you can solve for this interest rate. You find that the one-, two-, three-, and four-year interest rates are 4.2 percent, 4.5 percent, 4.9 percent, and 5.1 percent, respectively. What is the yield to maturity of a four-year bond with an annual coupon rate of 6.5 percent? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)

Yield to Maturity = ________%