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Let S = $45, r = 7% (continuously compounded), d = 1%, s = 25%, T = 2. In this situation, the appropriate values of u and dare 1.36343 and 0.82696, respectively. Using a 2-step binomial tree, calculate the value of a $50-strike European put option.
a. |
$6.702 |
|
b. |
$6.076 |
|
c. |
$5.282 |
|
d. |
$5.227 |
|
e. |
$5.666 |
here , S0 = current stock price
Su = stock price after 1 year if stock price increases
Sd = stock price after 1 year if stock price decreases
Suu = stock price after 2 years if stock price increases
Sdd = stock price after 2 years if stock price decreases
Sud = stock price after 2 years if stock price after 1 year increases and in the 2nd year it decreases
fu = value of option after 1 year if stock price increases
fd = value of option after 1 year if stock price decreases
fuu = value of option after 2 years if stock price increases
fdd = value of option after 2 years if stock price decreases in both years
fud = value of option after 2 years if stock price increases after 1st year and decreases after 2nd year
f = value of option today
hence the correct option is c) 5.282
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