You purchase a bond that has a par value of $$1,000,$ a coupon rate of $5$ percent, and $7$ years to maturity when the YTM for this bond is $4\mathrm{.}75$ percent. Assume that the bond pays interest annually.

What is the price of this bond when you buy it$?$ Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar.

$

If one year elapses and interest rates decrease $50$ basis points, what is the new price of the bond? Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar.

$

What is your rate of return from investing in this bond for the one$-$year period? Round your answer to two decimal places.

$\%$