Suppose you buy both a $$1,000,5\%$ annual coupon bond with a maturity of $8$ years and a zero coupon bond with a maturity of $8$ years. The yield is $6\mathrm{.}25\%$ when you buy them, but changes to $6\%.$ What will the new prices of the bonds be$?$

Initial Yield $6\mathrm{.}25\%$

New Yield $6\mathrm{.}00\%$

FV of both bonds $$1,000$

Coupon on coupon bond $5\mathrm{.}00\%$

Term of both bonds $8$

The new price of zero coupon bonds will be $

$.$ Round your answer to the nearest two decimal places.

The new price of the bonds that pay coupons will be $

$.$ Round your answer to the nearest two decimal places.