Arbeitspapier

A diffusion approximation for the riskless profit under selling of discrete time call options

A discrete time model of a financial market is considered. We focus on the study of a guaranteed profit of an investor which arises when the stock price jumps are bounded. The limit distribution of the profit as the model becomes closer to the classical model of the geometric Brownian motion is established. It is of interest that in contrast with the discrete approximation, no guaranteed profit occurs in the approximated continuous time model.

Language
Englisch

Bibliographic citation
Series: Reihe Ökonomie / Economics Series ; No. 137

Classification
Wirtschaft
Contingent Pricing; Futures Pricing; option pricing
Investment Banking; Venture Capital; Brokerage; Ratings and Ratings Agencies
Optimization Techniques; Programming Models; Dynamic Analysis
Subject
asymptotic uniformity
weak convergence in Skorokhod Space D[0, 1].

Event
Geistige Schöpfung
(who)
Nagaev, Sergei A.
Event
Veröffentlichung
(who)
Institute for Advanced Studies (IHS)
(where)
Vienna
(when)
2003

Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Nagaev, Sergei A.
  • Institute for Advanced Studies (IHS)

Time of origin

  • 2003

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