Answer:
$1.70
Explanation:
Given that,
Current stock price= $40
Strike price= $39
After a period of one month, two states will be achievable.
- First state
Stock price=$42
Option value= 42-39
=$3
- Second state
Stock price= $38
Option value= 0
Upmove size of first state is
U= 42/40 =1.05
Downmove size of the second state is
D=38/40=0.95
The values given for the upside probability is given as:
Rf= 0.08
t= 1/12
πu = 0.567
The downside probability is equal to:
= 1 - 0.567
= 0.433
Therefore, the present value of option is:
(0.567 × 3) + (0.43 × 0) / e^0.08 × 1/12
= 1.70
Thus, the value of a one-month European call option is $1.70
