You are considering investing in the following bond:

Current Price: $$950$

Coupon Rate: $5\%($Coupons are paid semiannually.$)$

Maturity: $20$ years

Par Value: $$1,000$

Your investment horizon is $4$ years; that is$,$ you plan to sell the bond $4$ years later and you expect to reinvest the coupons received at $4\%$ annually $(2\%$ semiannually$).$ You also expect the bond to be priced to yield $6\%$ in $4$ years. Calculate your expected annualized rate of return over the $4-$year investment horizon. Please write your answer using at least $4$ decimal places.