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Options Expiration.
On an option exchange, every 3rd Friday
of the month is expiration day. A number of option series expire on this
day.
At expiration all call options with a
higher strike price than the expiration price of the underlying
stock/currency or index will be worthless. All series with a
lower strike price will have value and will be exercised. In the case of
put options the opposite applies.
For all holders of call options it will be
optimal when the value of the positions at expiration is as low as
possible.
Options expiration date
is the most important factor in calculating an options price:
- The Black Scholes formula is used to price a European style option
by factoring in current stock price, strike price, time until
expiration, level of interest rates, any dividends and the volatility
of the underlying security.
- The binomial model is used to price American style options. The
binomial model calculates a tree of stock prices for given time
intervals within the expiration period of the option using the
volatility of a stock and time to expiration to find out how much a
stock will increase or decrease in value. This calculation gives all
possible prices of a stock. Then, the option prices of the stock are
calculated backwards, from expiration to present. These prices are
obtained by using risk neutral valuation. Ultimately, we get one price
for the option.
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