<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper an extension of the well-known binomial approach to option pricing is presented. The classical question is: What is the price of an option on the risky asset? The traditional answer is obtained with the help of a replicating portfolio by ruling out arbitrage. Instead a two-person game from the Nash equilibrium of which the option price can be derived is formulated. Consequently both the underlying asset’s price at expiration and the price of the option on this asset are endogenously determined. The option price derived this way turns out, however, to be identical to the classical no-arbitrage option price of the binomial model if the expiration-date prices of the underlying asset and the corresponding risk-neutral probability are properly adjusted according to the Nash equilibrium data of the game.</p></abstract>

In this paper an extension of the well-known binomial approach to option pricing is presented. The classical question is: What is the price of an option on the risky asset? The traditional answer is obtained with the help of a replicating portfolio by ruling out arbitrage. Instead a two-person game from the Nash equilibrium of which the option price can be derived is formulated. Consequently both the underlying asset’s price at expiration and the price of the option on this asset are endogenously determined. The option price derived this way turns out, however, to be identical to the classical no-arbitrage option price of the binomial model if the expiration-date prices of the underlying asset and the corresponding risk-neutral probability are properly adjusted according to the Nash equilibrium data of the game.

Strategic option pricing

Economics and Business Review

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Strategic option pricing"}

In this paper an extension of the well-known binomial approach to option pricing is presented. The classical question is: What is the price of an option on the...

Strategic option pricing

Published Online: Aug 24, 2020

Page range: 118 - 129

Received: Feb 15, 2020

Accepted: Jul 27, 2020

DOI: https://doi.org/10.18559/ebr.2020.3.7

Keywords
option pricing, game theory, Nash equilibrium

© 2020 Volker Bieta et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Strategic option pricing

Published Online: Aug 24, 2020

Page range: 118 - 129

Received: Feb 15, 2020

Accepted: Jul 27, 2020

DOI: https://doi.org/10.18559/ebr.2020.3.7

Keywordsoption pricing, game theory, Nash equilibrium

© 2020 Volker Bieta et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
option pricing, game theory, Nash equilibrium