7. Consider two fixed-income portfolios portfolio A: 1-year zero-coupon bond with face value $2000 +10-year zero-coupon bond with face value $6000; . portfolio B: 5.95-year zero-coupon bond with face value $5000 The current yield on all bonds is 10% per annum with continuous compounding (a) Show that both portfolios have the same duration. (b) Compute convexities of both portfolios (c) Compute the percentage changes in portfolio values for a 5% per annum increase in yields (d) Explain how much the portfolio value changes are explained by duration only, or duration + convexity