A six-month zero-coupon bond with face value $100 sells for $97.42, a one-year zero-coupon bond with a face value of $100 sells for $93.25. Suppose a new coupon paying bond, making semi-annual coupon payments, is issued today with face value $100, maturity of 12 months, and a semi-annual coupon payment of 5% (the 5% is expressed as an annual rate).

Calculate the price of the coupon paying bond today.

Calculate the exact price.

When performing the calculations, do not round any inputs or interim results until you get the final answer. Round your final answer to the nearest cent.

Calculate the implied forward interest rate today for the period starting 6 months from today and ending 1 year from today.

When performing the calculations, do not round any inputs or interim results until you get the final answer.

Round your final answer to four places after the decimal point.