no code implementations • 16 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.
no code implementations • 13 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.
no code implementations • 5 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.
no code implementations • 8 Nov 2021 • Nuerxiati Abudurexiti, Kai He, Dongdong Hu, Svetlozar T. Rachev, Hasanjan Sayit, Ruoyu Sun
In this note, we give approximate closed form expressions for VaR and CVaR of portfolios of returns with NMVM distributions.
no code implementations • 12 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.
no code implementations • 7 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.