Updated May 21, What are Boundary Conditions? Boundary conditions are the maximum and minimum values used to indicate where the price of an option must lie.
This lesson is part 2 of 6 in the course Option Valuation Lower Bound We know that the value of an option is equal to the sum of its intrinsic value and time value. Since an option cannot sell below its intrinsic value, its value cannot be negative, Therefore, the lower bound for both American and European options is zero. Upper Bound Call Options A call option provides the option buyer the right to buy the asset.
Boundary conditions are used to estimate what an option may be priced at, but the actual price of the option may be higher or lower than what is set as the boundary condition.
For all options contracts, the minimum option boundaries value is always zero, since options cannot be priced at negative money.
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Meanwhile, maximum boundary values jugi make money online differ depending on the whether the option is a call or put, and if it is an American or European style option. Understanding Boundary Conditions Before the introduction of binomial tree pricing models and the Black-Scholes model, investors and traders relied heavily on boundary conditions to set the minimum and maximum possible values for the call and put options that they were pricing.
These boundary conditions change according to whether the option is American or European, since American options can be exercised early. This ability to exercise at any point prior to the expiration date affects the way the price is calculated, and American options will trade at a premium relative to equivalent European options by virtue of this feature.
Minimum and Maximum Boundary Conditions The absolute minimum value for an option is zero, since an option cannot be sold for a negative amount of money. The maximum value in a boundary condition is set to the current value of the underlying asset. If the price of the underlying asset is greater than the price indicated in the call option then the investor would not exercise the option, since exercising the option would result in the investor paying more than the market price.
This is the case for both a European call and an American call. The maximum value of a put option is reached when the underlying asset has no worth, such as in the case of a company's bankruptcy when the underlying security is a stock. This is because European options cannot be exercised at any point, and instead can only be exercised at expiration at a specified price.
The value of an American option must be at least as great as a European option. Option boundaries technically the maximum value of an asset could be set at infinity — an asset option boundaries increase in value with no ceiling — this is considered impractical.
The value of the underlying asset is likely to fall within option boundaries reasonable boundary that can be modeled with standard deviations or other stochastic methods. Compare Accounts.
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