Consider a bond with $1,000 par value, 6.875% coupon rate to be paid semiannually, YTM=1.5%. Suppose that the maturity of this bond is Aug 15,2025, and you are valuing the bond for settlement on January 18, 2022. The next coupon is due Feb 15, 2022. Assume a 30E/360 day count convention (30 days in January and 180 days in 6 months). All transactions take place at the end of the day.

a) Calculate the bonds Macaulay Duration

. d) Using the Duration to estimate the impact on bond price if there is an increase in interest rate of 0.25%