You work in the Finance Department of a listed company. To match some liability payments in $19$ years time, you decide to invest in a zero$-$coupon bond so to avoid any kind of reinvestment risk. On your Thomson Reuters Eikon terminal, you find that the $19-$year spot rate is equal to $4\mathrm{.}2\%.$ How much are you expecting to pay for the zero$-$coupon bond? Assume a principal of $100.$

Answer $(2$ decimal place$)$ THE CORRECT ANSWER IS $45\mathrm{.}76.$ EXPLAIN HOW TO GET THIS ANSWER