arXiv Open Access 2024

Risk-indifference Pricing of American-style Contingent Claims

Rohini Kumar Frederick "Forrest" Miller Hussein Nasralah Stephan Sturm
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Abstrak

This paper studies the pricing of contingent claims of American style, using indifference pricing by fully dynamic convex risk measures. We provide a general definition of risk-indifference prices for buyers and sellers in continuous time, in a setting where buyer and seller have potentially different information, and show that these definitions are consistent with no-arbitrage principles. Specifying to stochastic volatility models, we characterize indifference prices via solutions of Backward Stochastic Differential Equations reflected at Backward Stochastic Differential Equations and show that this characterization provides a basis for the implementation of numerical methods using deep learning.

Penulis (4)

R

Rohini Kumar

F

Frederick "Forrest" Miller

H

Hussein Nasralah

S

Stephan Sturm

Format Sitasi

Kumar, R., Miller, F."., Nasralah, H., Sturm, S. (2024). Risk-indifference Pricing of American-style Contingent Claims. https://arxiv.org/abs/2409.00095

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2024
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arXiv
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