Suppose you bought a bond at a price of $$99012$ months ago. The bond pays coupons annually, has an annual coupon rate of $3\%,$ a face value of $$1,000$ and will mature in $48$ months. This morning, it just paid the coupon. The current YTM is $5\%.$ Suppose the YTM will increase to $6\%$ in $12$ months and then remains the same till expiration. What is the arithmetic average annual return for the following two years? Show your work.