Derivation of a new Merton's optimal problem presented by fractional stochastic stock price and its applications
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Date
2017Metadata
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In this article, a new model of Merton's optimal problem is derived. This derivation is based on stock price presented by fractional order stochastic differential equation. An extension of Hamilton-Jacobi-Bellman is used to transfer our proposed model to a fractional partial differential equation. As an application of our proposed model, two optimal problems are discussed and solved, analytically.
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