Black-Scholes Valuations

BLACK-SCHOLES FORMULA

The Black-Scholes equation was developed to place a theoretical value on stock options during the time period before they reach the exercise date. This theoretical or intrinsic value of the option may differ from what you paid for the option. And this value would certainly change daily as the time period declines and the market price fluctuates daily.

The following variables are important in the Black-Scholes model:

  • strike price
  • time period
  • volatility

The Black-Scholes model has strengths and weaknesses:

Strengths Weakness
  • The model is elegant and simple.
  • It is consistent with the capital asset pricing model of portfolio theory.
  • Black-Scholes uses restrictive assumptions.
  • It can be manipulated to give inflated estimates.

Equation

The Black-Scholes equation for the fair value of a European call option* on a non-dividend paying stock is:

* A European call option can only be exercised on its expiration date. This is in contrast to American options that can be exercised at any time prior to expiration.

Memory Jogger

What’s the difference between European and American options?

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