Yield to call is the rate of return that the bondholder will get if the bond is called before the maturity date or on-call date. Technically it is the rate at which the current price of the bond is exactly equal to the present value of the cash flows associated with the bond until the bond is called. Here the yield to maturity is not relevant as the bond is about to be called before its maturity.
Assume a bond is currently priced at $1059 and has a face value of $1000, paying an 8% coupon annually. If the bond has an option to call after 6 years from now at $980 the YTC will be calculated using this expression.
P = Coupon x [(1 - (1 + YTC)-t) / YTC] + (Call Price / (1 + YTCt)
$1059 = $80 x [(1 - (1 + YTC)-6) / YTC] + ($980 / (1 + YTC6)
YTC = 6.498%
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