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Answer:
Chris paid $109.68 for his bond. Since he paid a premium for the bond, the YTM is lower than the coupon rate.
Explanation:
yield of Cheryl's bond is 6% since she purchased it at par and the bond's coupon is 6%
if Chris's bond yields 80% of Cheryl's, it will yield 6% x 0.8 = 4.8%
we can use the approximate yield to maturity formula to find the market price of Chris's bond:
2.4%(semiannual) = {3 + [(100 - MV)/20]} / [(100 + MV)/2]
0.024 x [(100 + MV)/2] = 3 + [(100 - MV)/20]
0.024 x (50 + 0.5MV) = 3 + 5 - 0.05MV
1.2 + 0.012MV = 8 - 0.05MV
0.062MV = 6.8
MV = 6.8 / 0.062 = 109.68
Answer:
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