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by Www investment firms to determine whether bonds are a good value in the general market and how to appropriately price the bonds in their inventory.
Subtract the face value (F) of the bond from the current market price (P). For example, if F is $100 and P is $90, then P - F = -$10.
Divide this value by the number of years to maturity (n), as in (F-P)/n. If n = 5, then (F-P)/n = -$2.
Add the interest payment (C) to this value, as in C +(F-P)/n. If C is $5, then C +(F-P)/n = $3.
Divide the combined amount from Step 3 by the price plus face value divided by 2, as in (C +(F-P)/n) / ((F+P)/2). That is, 3 divided by 95 ($100 plus $90 divided by 2) equals .0315789.
The final value from Step 4, multiplied by 100 to get a percentage, is the yield to maturity. Yield to maturity = (C +(F-P)/n) / ((F+P)/2). In the example, the yield to maturity equals 3.158 percent.