please solve this problem without using Excel and show all steps.

Question No.6 (5 points) You are given the following information about two bonds, Bond X and Bond Y: (1) Each bond is a 10-year bond with annual coupons redeemable at its par value of 10,000, and is bought to yield an annual interest rate of i. Bond X has an annual coupon rate of (1 + 0.02), paid annually. (iii) Bond Y has an annual coupon rate of (1 -0.02), paid annually. (iv) The price of Bond X is 2916.34 greater than the price of Bond Y. Calculate i A. 6.0% B. 6.2% C. 6.4% D. 6.6% E. 6.8% Question No.11 (5 points) Sheldon borrows X for 12 years at an annual effective interest rate of 7%, to be repaid with equal payments at the end of each year. The outstanding loan balance at the end of the 5th year is 33926.11. Calculate the principal repaid in the second payment. A. 2690 B. 2790 C. 2890 D. 2990 E. 3090 Question No.13 (5 points) A loan of 40,000 is being repaid by a 20-year increasing annuity-immediate. The initial payment is k, and each subsequent payment is k larger than the preceding payment. Determine the balance immediately after the eleventh payment, using an annual effective interest rate of 8%. A. 45055 B. 46055 C. 47055 D. 48055 E. 49055 Question No.6 (5 points) You are given the following information about two bonds, Bond X and Bond Y: (1) Each bond is a 10-year bond with annual coupons redeemable at its par value of 10,000, and is bought to yield an annual interest rate of i. Bond X has an annual coupon rate of (1 + 0.02), paid annually. (iii) Bond Y has an annual coupon rate of (1 -0.02), paid annually. (iv) The price of Bond X is 2916.34 greater than the price of Bond Y. Calculate i A. 6.0% B. 6.2% C. 6.4% D. 6.6% E. 6.8% Question No.11 (5 points) Sheldon borrows X for 12 years at an annual effective interest rate of 7%, to be repaid with equal payments at the end of each year. The outstanding loan balance at the end of the 5th year is 33926.11. Calculate the principal repaid in the second payment. A. 2690 B. 2790 C. 2890 D. 2990 E. 3090 Question No.13 (5 points) A loan of 40,000 is being repaid by a 20-year increasing annuity-immediate. The initial payment is k, and each subsequent payment is k larger than the preceding payment. Determine the balance immediately after the eleventh payment, using an annual effective interest rate of 8%. A. 45055 B. 46055 C. 47055 D. 48055 E. 49055