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Yield to Call (YTC) and Yield to Maturity (YTM) of bonds

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Southern Bell has issued $1000 par, 43/8% coupon bonds that mature in 6 years. The coupons on these bonds are paid semiannually. These bonds are currently trading at a price of $853.75. The bonds are callable in 2 years at a call price of $1000.
a. Compute the Yield-To-Maturity (YTM) on the bonds.
b. Compute the Yield-To-Call (YTC) on the bonds.

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Solution Summary

The solution shows the method to compute the YTC and YTM of bonds.

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a. YTM is the internal rate of return earned on the bond. It can be computed as follows:

Note: 43/8 can be re-written as 4.375

Number of semi-annual periods , NPER, [6 years * 2] = 12
Semi-annual coupon amount [1,000 * 4.375% * 6/12 = 21.875] [PMT] = $21.875
Present value of ...

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