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ABC Trust has the following bond portfolio: Bond Maturity (Years) Annual Coupon Face Value Price per $100 FV A 1 0 100 92.59 B 2

ABC Trust has the following bond portfolio:

Bond Maturity (Years) Annual Coupon Face Value Price per $100 FV
A 1 0 100 92.59
B 2 8 % 100 100.00
C 3 7 % 100 97.42
D 4 10 % 100 106.62
E 5 9 % 100 104.00

TOTAL: 500.63

The coupon bonds in the portfolio all pay coupons annually and all the bond prices are quoted per $100 face value to yield 8%.

a. Explain how the bond portfolio's YTM is calculated.

b. Determine the bond portfolio's YTM using a financial calculator, Excel program, or by trial and error (hint: try YTM = 8%).

c. Does the portfolio's YTM equal the weighted average yield of the bonds? If so, is this always the case?

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