You are a fixed income portfolio manager. Your portfolio has a total market value of $1 billion and its overall modified duration is 3.5 years. The following two Treasury securities are in your portfolio. All yields are based on semiannual compounding and the settlement date is 5/15/2020. Because the settlement date is a payment date, there is no accrued interest to consider. Bond Coupon Maturity Price Yield Modified Duration 6.60% 5/15/2025 100.0000 6.60% 4.20 4.00% 5/15/2023 100.0000 4.00% 2.80 (a) Assuming that you own $50,000,000 in face value of each security, calculate the contribution to the modified duration of the portfolio from each of those two bonds. (b) What would happen to the modified duration of the portfolio if you sold $20,000,000 in face value of Bond A and sold $10,000,000 in face value of Bond B? Bond C is also available in the market. It has a maturity date of 5/15/2033, a coupon rate of 8%, a price of 100 and a yield of 8%. It is also on a payment date and has no accrued interest. Its modified duration is equal to 8.00. Suppose you took the proceeds of the the sales described in part (b) and invested it into Bond C. How much face value of Bond C would you be buying? What would be the modified duration of your portfolio after both of the sales and the purchase? (d) If all yields stayed constant for the 3 month period following the trade which portfolio would have a higher return - the original portfolio or the new portfolio? Do not try to calculate the rate of return in these two cases, just explain which performs best in that case and why. Which would perform better over the three month period following the trade if all three bonds saw their yield to maturity fall by 25 basis points. Do not try to calculate the rate of return in these two cases, just explain which performs best in that case and why