Consider a 3-year putable bond with 7% coupon rate which becomes putable at $101 in one year and stays putable at $101 in the following years. As in the following exhibit the prices for an option-free bond in the second year are calculated as $99.115, $100.295, and $101.282 in upper, middle and lower nodes. Assume PH=PL=0.50. Here is the binomial tree and valuation for this bond in spread format:What is the modified price at Price at NHH when we consider that this bond is putable?
t=0
t=1
t=2
t=3
V = $100 C = $7
V=S99.115
C = $7
r2,=7.955%
V =
V = $100
C = $7 r1,=7.2%
C = $7
V = C=0 ro =4.45%
V=$100.295 C = $7 2,H=6.685%
V = C = $7 =5.395%
V = $100 C = $7
V=$101.282 C = $7 r1, = 5.646%
V = $100
C = $7