11. (5 pts.) What is the bond's modified duration assuming a 1 bp change in its annual yield- to-maturity? Your Excel file is a sufficient means of showing your work for this problem. 12. (5 pts.) What is the bond's approximate convexity assuming a 1 bp change in its annual yield-to-maturity? Your Excel file is a sufficient means of showing your work for this problem. 13. (5 pts.) Considering the convexity effect, what is the approximate percentage price change if the bond's yield to maturity decreases by -40 basis points. Use the formula that relies on approximate modified duration and approximate convexity. Your Excel file is a sufficient means of showing your work for this problem. Consider a bond with the following features: Exactly 9 years to maturity 6% coupon rate, paid semi-annually 7% yield to maturity $100 par value 11. (5 pts.) What is the bond's modified duration assuming a 1 bp change in its annual yield- to-maturity? Your Excel file is a sufficient means of showing your work for this problem. 12. (5 pts.) What is the bond's approximate convexity assuming a 1 bp change in its annual yield-to-maturity? Your Excel file is a sufficient means of showing your work for this problem. 13. (5 pts.) Considering the convexity effect, what is the approximate percentage price change if the bond's yield to maturity decreases by -40 basis points. Use the formula that relies on approximate modified duration and approximate convexity. Your Excel file is a sufficient means of showing your work for this problem. Consider a bond with the following features: Exactly 9 years to maturity 6% coupon rate, paid semi-annually 7% yield to maturity $100 par value