Variety of double knock out barrier option for sustainable financial management

Tapas Kumar Jana; Tapas Kumar Jana

doi:10.3934/environsci.2022040

AIMS Environmental Science

2022, Volume 9, Issue 5: 708-720. doi: 10.3934/environsci.2022040

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Variety of double knock out barrier option for sustainable financial management

Tapas Kumar Jana ^,

Department of Mathematics, Ghatal Rabindra Satabarsiki Mahavidyalaya, Ghatal, West Bengal 721212, India

Received: 20 June 2022 Revised: 31 August 2022 Accepted: 13 September 2022 Published: 13 October 2022

Options are financial contracts that are based on an underlying security and are useful for both hedging and speculating on future market trends. New financial tools are constantly being developed for sustainable financial management. In order to define new financial instruments, the BS Hamiltonian, in conjunction with a potential function, is particularly important for modelling path-dependent options. It is demonstrated here how supersymmetry provides a natural framework for generating various options, particularly using higher order supersymmetry to find and examine numerous isospectral partners of the double knock out barrier option.
- resource management,
- sustainability,
- higher order supersymmetry,
- Black-Scholes hamiltonians,
- double knock out barrier potential,
- option Pricing
Citation: Tapas Kumar Jana. Variety of double knock out barrier option for sustainable financial management[J]. AIMS Environmental Science, 2022, 9(5): 708-720. doi: 10.3934/environsci.2022040

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Abstract

Options are financial contracts that are based on an underlying security and are useful for both hedging and speculating on future market trends. New financial tools are constantly being developed for sustainable financial management. In order to define new financial instruments, the BS Hamiltonian, in conjunction with a potential function, is particularly important for modelling path-dependent options. It is demonstrated here how supersymmetry provides a natural framework for generating various options, particularly using higher order supersymmetry to find and examine numerous isospectral partners of the double knock out barrier option.

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