Question: 1. Given the information about the three bonds A, B, and C: - Bond A = 10% coupon selling at 119.6363 - Bond B =

1. Given the information about the three bonds A, B, and C:

- Bond A = 10% coupon selling at 119.6363

- Bond B = 6% coupon selling at 80.3637

- Bond C = 8% coupon selling at par

- All bonds mature in 20 years. Coupon payments are annual.

a) Calculate the yield to maturity

b) Assuming that the YTM remains unchanged over the life of the bonds, evaluate the price of each bond as a function of years remaining to maturity as follows.

c) Plot the prices of the three bonds (y axis) against the time remaining until maturity (x axis)

d) Demonstrate algebraically that the bonds prices converge to the par value when the remaining time to maturity is zero.

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