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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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