show work. no excel.

(1) (10 pts) You have a portfolio with two bonds: Bond 1 is a bond with a Macaulay duration of 8.108 and a price of 40,000 Bond 2 is a bond with a Macaulay duration of 14.328 and a price of 60,000 The price and Macaulay duration for both bonds were calculated using an annual effective interest rate of 5%. Using the first-order Macaulay approximation, what would you calculate the updated present value of the portfolio to be, if you assume the annual effective rate has changed from 5% to 5.5%