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Which security has a higher active annual interest rate? a) A 3-month TBill selling at $97,645 with alpar 1.ralue of $100,000 b) A coupon bond selling at par and paying a 10% coupon senii-aamnuall}r Consider a bond with a 10% coupon and a yield to maturity of 3%. If the bond's yield to maturity remains constant, then in one year's time, will the band's price be higher, lower, or unchanged? Explain your answer. Fill in the Table below for the following zero-coupon bonds, all of which have par values of $1 ,000. Price Maturity (years) Yield to Maturity 4. Consider the following $51,000 par value zero-coupon bonds: Bond Maturity (years) Yield to Maturity A 1 5% B 2 6% C 3 6.5% D 4 7% According to the expectations hypothesis, what is the expected 1-year interest rate 3 years 'om now? 5. Find the Macaulay duration of a 6% coupon bond making annual coupon payments if it has 3 years until maturity and has a yield to maturity of 6%. What is the Macaulay duration of this bond if its yield to maturity is 10%? 6. Rank the modied durations of the following pair of bonds: a) Bond A is a 6% coupon bond, with a 20-year time to maturity selling at par. Bond B is a 6% coupon bond : with a 20-year maturity selling below par