-What Should the Purchase Price of a 3-Year Zero Coupon

Multiple Choice

$$\begin{array} { l | l } \hline \text { Year } & \text { 1-Year Forward Rate } \\\hline 1 & 4.6 \% \\\hline 2 & 4.9 \% \\\hline 3 & 5.2 \% \\\hline 4 & 5.5 \% \\\hline 5 & 5.8 \% \\\hline\end{array}$$
-What should the purchase price of a 3-year zero coupon bond be if it is purchased today and has face value of $1,000?

A) $887.42
B) $871.12
C) $879.54
D) $856.02
E) $866.32