Arbeitspapier

A diffusion approximation to the Markov chains model of the financial market and the expected riskless profit under selling of call and put options

A discrete time model of financial markets is considered. It is assumed that the stock price evolution is described by a homogeneous Markov chain. In the focus of attention is the expected value of the guaranteed profit of the investor that arises when the jumps of the stock price are bounded. The suggested diffusion approximation for the Markov chain allows establishing a convenient approximate formula for the studied characteristic.

Language
Englisch

Bibliographic citation
Series: Reihe Ökonomie / Economics Series ; No. 165

Classification
Wirtschaft
Asset Pricing; Trading Volume; Bond Interest Rates
Portfolio Choice; Investment Decisions
Contingent Pricing; Futures Pricing; option pricing
Subject
ergodic and irreducible Markov chains
stationary distribution
local limit theorem
upper hedge
upper rational price
Markovscher Prozess
Finanzmarkt
Optionspreistheorie
Hedging
Zeitreihenanalyse
Theorie

Event
Geistige Schöpfung
(who)
Nagaev, Alexander V.
Nagaev, Sergei A.
Kunst, Robert M.
Event
Veröffentlichung
(who)
Institute for Advanced Studies (IHS)
(where)
Vienna
(when)
2005

Handle
Last update
10.03.2025, 11:43 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Nagaev, Alexander V.
  • Nagaev, Sergei A.
  • Kunst, Robert M.
  • Institute for Advanced Studies (IHS)

Time of origin

  • 2005

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