![]() |
|
|
#1
|
|||
|
|||
|
Q: A call and put both with strike $45 and time to expiration 18 months cost $3.45 and $13.46, respectively. If the stock’s current price is $35 and it pays a dividend in 6 months, what is the value of the dividend if the risk-free rate is 6%?
C(S, $45, 1.5) = $3.45 P(S, $45, 1.5) = $13.46 So = $35 r = 0.06 Div (.5) Because of the Put-Call Parity: C(S, $45, 1.5) - P(S, $45, 1.5) = So - Div*e^(-r/t) - K*e^(-r/t) So, 3.45 - 13.46 = 35 - D*e^-(0.03) - 45*e^-(0.09) -10.01 = -6.1289 - 0.974455*D 3.883 = 0.974455*D D = 4 The Dividend that is actually paid out is $4.00, but the question wants know the value of the dividend. My question is this... What does SOA/CAS consider the value of a dividend, the actual amount paid or its present value? |
| Thread Tools | |
| Display Modes | |
|
|