Problem $1$

A ten$-$year $$10,000$ face value bond with annual coupons is priced at $$9,086\mathrm{.}38.$ The present value of the

redemption value is $$6,142\mathrm{.}34$ and the ratio of the coupon rate to the yield rate is $\frac{2}{3}.$ Find the yield rate

and coupon rate.

Problem $2$

A five$-$year bond has a face value of $10,000.$ The present value of its redemption value is $$6,000$ and the

ratio of the coupon rate to the yield rate is $1\mathrm{.}2.$ Its price is $$9,554.$ Calculate the coupon and yield rates.