An insurance company is analyzing the following three bonds, each with five years to maturity, annual interest payments, and is using duration as its measure of interest rate risk.

What is the duration of each of the three bonds?

Note: For all the requirements, do not round intermediate calculations. Round your answers to $2$ decimal places. $($e$.$g$.,32\mathrm{.}16)$

a$.$ $$10,000$ par value, coupon rate $=8\%,$ Yield to Maturity $=10\%$

b$.$ $$10,000$ par value, coupon rate $=10\%,$ Yield to Maturity $=10\%$

c$.$$$10,000$ par value, coupon rate $=12\%,$ Yield to Maturity $=10\%$