What are the assumptions on which the Black-Scholes theorem is based?

Question

What are the assumptions on which the Black-Scholes theorem is based? What are the important conclusions of the Black-Scholes theorem?

19 Dec 2024

Answer :

Word Count : 1010

The Black-Scholes theorem, introduced in 1973 by economists Fischer Black, Myron Scholes, and Robert Merton, provides a mathematical model for pricing options, particularly European-style call and put options. The model assumes a range of factors to simplify the complexity of real-world financial markets. These assumptions help derive the theoretical formula for determining the price of options based on several key inputs.

### Assumptions of the Black-Scholes Model

1. Efficient Markets: The model assumes that markets are efficient, meaning that all information, whether public or private, is already reflected in the current price of the asset. Consequently, no investor can consistently achieve returns in excess of the market average without taking on additional risk.

2. No Dividends: The Black-Scholes model assumes that the underlying asset does not pay any dividends during the life of the option. This assumption simplifies the model, as dividends represent a cash outflow that affects the value of the underlying asset.

3. Constant Volatility: One of the key assumptions is that the volatility of the _______ _____ __________ ______ ___ _______ ______ ________.
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