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It is more complicated, but is similar to calculating the discount rate of corporate debt. You set the present value of the bond equal to a series of future cash flows and solve for YTM. It would look like:

1102.85=[40/(1+YTM)^1] + [40/(1+YTM)^2] +

......+ [40/(1+YTM)^20]

$40 is the semi annual interest payment, with 20 pay periods in the calculation. This does not take into account tax concequences.

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