You will be paying $$1500$ in tuition at the end of each of the next three years, and the

market interest rate is $10\%.$ What type of zero$-$coupon bond immunizes your obligation?

A$)$ A zero coupon bond with a face value of $$3730\mathrm{.}28$ and a maturity of $1\mathrm{.}94$ years

B$)$ A zero coupon bond with a face value of $$3730\mathrm{.}28$ and a maturity of $3$ years

C$)$ A zero coupon bond with a face value of $$4487\mathrm{.}90$ and a maturity of $3$ years

D$)$ A zero coupon bond with a face value of $$4487\mathrm{.}90$ and a maturity of $1\mathrm{.}94$ years