Search Results for author: Hasanjan Sayit

Found 6 papers, 0 papers with code

Pricing basket options with the first three moments of the basket: log-normal models and beyond

no code implementations16 Feb 2023 Dongdong Hu, Hasanjan Sayit, Frederi Viens

Options on baskets (linear combinations) of assets are notoriously challenging to price using even the simplest log-normal continuous-time stochastic models for the individual assets.

Exponential utility maximization in small/large financial markets

no code implementations13 Aug 2022 Miklós Rásonyi, Hasanjan Sayit

In this note, we give closed form expressions, in markets based on finitely many assets, for optimal portfolios that maximize the expected exponential utility when the return vector follows normal mean-variance mixture models.

Portfolio Optimization

A discussion of stochastic dominance and mean-risk optimal portfolio problems based on mean-variance-mixture models

no code implementations5 Feb 2022 Hasanjan Sayit

The classical Markowitz mean-variance model uses variance as a risk measure and calculates frontier portfolios in closed form by using standard optimization techniques.

Portfolio Optimization

A note on closed-form spread option valuation under log-normal models

no code implementations12 Sep 2021 Nuerxiati Abudurexiti, Kai He, Dongdong Hu, Hasanjan Sayit

In the papers Carmona and Durrleman [7] and Bjerksund and Stensland [1], closed form approximations for spread call option prices were studied under the log normal models.

Moment Matching Method for Pricing Spread Options with Mean-Variance Mixture Lévy Motions

no code implementations7 Sep 2021 Dongdong Hu, Hasanjan Sayit, Svetlozar T. Rachev

The paper Borovkova et al. [4] uses moment matching method to obtain closed form formulas for spread and basket call option prices under log normal models.

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