7a. If the current price of oil is $20.86 per barrel, the risk free interest rate is 2.0%, the cost to store oil for one year is 10% of the price and the standard deviation of oil prices is 0.6255, b. What is the price of a 1-year put option on oil with a strike price of $34.15 barrel?
Given,
Spot price = $20.86
Strike price = $34.15
Volatility = 0.6255
Risk free = 2%
Time period = 1
Black whole formula for option pricing is :
Putting all the values in the formula we get,
Put price = $12.61
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