What is the price of a zero$-$coupon bond that has a par value of $$1,000?$ The bond matures in thirty

years and offers a yield to maturity of $4\mathrm{.}5\%.$ Calculate the price one year later, when the bond has

twenty$-$nine years left before it matures $($assume the yield remains at $4\mathrm{.}5\%).$ What is the return that

an investor earns if they buy the bond with thirty years remaining and sell it one year later?