a$.$ You are considering purchasing a bond that has $4$ years to maturity with $6\%$ coupon rate.Comparable investments are expected to provide $4\%$ annual return. How much would you pay for this bond? Answer is : $1070\mathrm{.}60$

b$.$ You purchased the bond in the previous question $-4$ year $6\%$ coupon bond $-$ at the price of $$1072\mathrm{.}60.$You plan to hold the bond until the bond matures. What is the annual rate of return from the bond investment?

c$.$ You bought the bond in Q$1-4$ year $6\%$ coupon bond $-$ at the price of $$1072\mathrm{.}60.$Now, instead of holding it for the next $4$ years, you plan to sell it in $2$ years at the price of $$1070.$If your plan works out, what is the annual rate of return from your $2-$year investment?