Exchange option pricing model with stock pricing processes in jump-diffusion process
Shen Ming-xuan
Abstract
Shen Ming-xuan
Abstract
The problem of pricing exchange options in a jump-diffusion model is considered.The paper assumes the two stock pricing processes are jump-diffusion processes,and the jump processes are non-homogenous Poisson process.Under the condition that the expected rate μ(t) and volatility σ(t) are function of time,using physical probabilistic measure of price process and the principle of fair premium,the pricing formula of exchange options is obtained.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The problem of pricing exchange options in a jump-diffusion model is considered.The paper assumes the two stock pricing processes are jump-diffusion processes,and the jump processes are non-homogenous Poisson process.Under the condition that the expected rate μ(t) and volatility σ(t) are function of time,using physical probabilistic measure of price process and the principle of fair premium,the pricing formula of exchange options is obtained.
Key concepts: Jump diffusion, Jump, Stock exchange, Poisson process, Jump process, Rational pricing, Poisson distribution, Valuation of options