Recall the US Treasury bond portfolio from a prior assignment as follows: Treasury Bond Portfolio Tenor 2 Coupon 0.25% 0.875% 2.00% Yield 0.25% 0.875% 2.00% Price 100 100 100 (Scaled) ModDur Convexity 1.994 5 4.88 26.5 9.023 90.8 5 10 Note that each bond pays a fixed coupon semiannually and is currently priced at par. a.) Assume an investor who owns an equally weighted portfolio ($100 million each) in these bonds now enters into a $200 million pay-fixed, five-year interest rate swap at a fixed 1.00% semi-annual rate and receives 6-month LIBOR which is currently 0.25%. Calculate the modified duration of the pay-fixed interest rate swap (which you will remember is equivalent to combining fixed-rate and floating-rate bonds). I b.) Calculate the portfolio's modified duration for the equally weighted portfolio combined with the pay-fixed swap. c.) Describe how the swap has changed overall portfolio exposure and the type of yield curve change for which the portfolio manager is best positioned. Recall the US Treasury bond portfolio from a prior assignment as follows: Treasury Bond Portfolio Tenor 2 Coupon 0.25% 0.875% 2.00% Yield 0.25% 0.875% 2.00% Price 100 100 100 (Scaled) ModDur Convexity 1.994 5 4.88 26.5 9.023 90.8 5 10 Note that each bond pays a fixed coupon semiannually and is currently priced at par. a.) Assume an investor who owns an equally weighted portfolio ($100 million each) in these bonds now enters into a $200 million pay-fixed, five-year interest rate swap at a fixed 1.00% semi-annual rate and receives 6-month LIBOR which is currently 0.25%. Calculate the modified duration of the pay-fixed interest rate swap (which you will remember is equivalent to combining fixed-rate and floating-rate bonds). I b.) Calculate the portfolio's modified duration for the equally weighted portfolio combined with the pay-fixed swap. c.) Describe how the swap has changed overall portfolio exposure and the type of yield curve change for which the portfolio manager is best positioned