Question
Suppose the 8% coupon, 30-yeat maturity bond sells for $1,150 and is callable in 10 years at a call price of $1,100. Its yield to
Suppose the 8% coupon, 30-yeat maturity bond sells for $1,150 and is callable in 10 years at a call price of $1,100. Its yield to maturity and yield to call would be calculated using the following inputs:
Yield To Call | Yield To Maturity | |
Coupon (PMT) | $40 | $40 |
Number of Semiannual Periods (n) | 40 periods | 60 periods |
FV (Face or Par Value) | $1,100 | $1,000 |
PV (Present Value) | $1,150 | $1,150 |
Yield To Call: On the financial calculator, input n = 20, PMT = 40, FV = 1,100, PV = -1,150, CPT I/Y = 3.32% or 6.64% annual bond equivalent yield
Yield To Maturity: On the financial calculator, input n = 60, PMT = 40, FV = 1,00, PV = -1,150, CPT I/Y = 3.41% or 6.82% annual bond equivalent yield
The only thing that I would like to know is for yield to call, I understand that in order to find the number of semiannual periods, you take 30 years to maturity - 10 years at call = 20 years x 2 = 40 periods. Why does 40 periods have to be divided by 2 in order to get 20 periods? Why can't the 40 periods be left alone like 60 periods for YTM? Please explain.
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