What should the purchase price of a $1-$year zero coupon bond be if it is purchased today and has a face value of $$1,000?$ Forward rates supplied as follows:

Year $1-1$ year forward rate is $4\mathrm{.}6\%$

Year $2-1$ year forward rate is $4\mathrm{.}9\%$

Year $3-1$ year forward rate is $5\mathrm{.}2\%$

Year $4-1$ year forward rate is $5\mathrm{.}5\%$

Year $5-1$ year forward rate is $6\mathrm{.}8\%$