A zero$-$coupon bond is a bond that pay no interest payment. You buy the bond at a discount from the face value $($$$1000)$ and are paid the face amount when the bond matures. A zero$-$coupon bond that will pay $$1,000$ in $10$ years is selling today for $$422\mathrm{.}41.$ What interest rate does the bond offer?a$\mathrm{.}8\%$b$\mathrm{.}9\%$c$\mathrm{.}10\%$d$\mathrm{.}7\%$