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Consider two risk-free coupon bonds W and Z both having a maturity of 10 years and a $1000-face value. Bond W has 6% annual coupons

Consider two risk-free coupon bonds W and Z both having a maturity of 10 years and a $1000-face value. Bond W has 6% annual coupons while Bond Z has 12% annual coupons. Suppose that the YTM is initially 10% for both bonds. If interest rates fall and the YTM decreases to 8%, then, the percentage change in the price of W and Z respectively will be as follows: (Hint: Calculate the price of each bond, first at the initial YTM, and then at the lower YTM)

A) The price of Bond W will increase by 7.67% and the price of Bond Z will increase by 15.26%

B) The price of Bond W will increase by 14.79% and the price of Bond Z will increase by 12.96%

C) The price of Bond W will decrease by 5.87% and the price of Bond Z will decrease by 10.68%

D) The price of both Bond Wand Bond Z will increase by 9.34%

E) The price of both Bond W and Bond Z will decrease by 9.34%

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