What is the price of the following US T-Bond? (Use any method you prefer, and enter your answer with two decimal places)

Face value : $100

Maturity: 6 years

Coupon rate 3% (paid annually)

Yield = 7.6%

Suppose you observe that the above bond is trading at $83.00. What is the yield? (Enter your answer as a percentage with the % sign, with two decimal places)

Calculate the price, duration, and modified duration of this bond when the yield is 9% (Enter all answers with two decimal places).