[1]. Treasury bonds paying an 6.75% coupon rate withsemiannualpayments currently sell at par value. What coupon rate would they have to pay in order to sell at par if they paid their couponsannually?(Do not round intermediate calculations. Round your answer to 2 decimal places.)

Coupon Rate _____________%

[2.] A two-year bond with par value $1,000 making annual coupon payments of $103 is priced at $1,000.

a.What is the yield to maturity of the bond?(Round your answer to 1 decimal place.)

Yield to Maturity ____________%

b.What will be the realized compound yield to maturity if the one-year interest rate next year turns out to be (a) 8.3%, (b) 10.3%, (c) 12.3%?(Do not round intermediate calculations.Round your answers to 2 decimal places.)

Interest Rate Realized YTM

8.3% ____________%

10.3% ____________%

12.3% ____________%

[3.] Find the duration of a 6% coupon bond makingannualcoupon payments if it has three years until maturity and a yield to maturity of 7.7%. What is the duration if the yield to maturity is 11.7%?(Do not round intermediate calculations. Round your answers to 4 decimal places.)

YTM Duration

7.7% ____________

11.7% ____________