Pricing options on securities with discontinuous returns
We consider a financial market where the asset prices are driven by a multidimensional Brownian motion processs and a multidimensional point process of random jumps admitting stochastic intensity. Using the equivalent martingale measure approach, we construct hedging portfolios for European and American contingent claims. We also present a valuation equation that must be satisfied by any derivative security and can be solved numerically to obtain option prices.
Year of publication: |
1993
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Authors: | Bardhan, Indrajit ; Chao, Xiulu |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 48.1993, 1, p. 123-137
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Publisher: |
Elsevier |
Keywords: | point processes stochastic intensity equivalent martingale measure European and American options valuation equation |
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