Financial Markets Modeled by Jump Diffusions

2019 ◽  
pp. 27-53
Author(s):  
Bernt Øksendal ◽  
Agnès Sulem
Keyword(s):  
Financial Markets ◽  
Jump Diffusions

FINANCIAL MARKETS WITH NO RISKLESS (SAFE) ASSET

2017 ◽  
Vol 20 (08) ◽  
pp. 1750054
Author(s):  
SVETLOZAR T. RACHEV ◽  
STOYAN V. STOYANOV ◽  
FRANK J. FABOZZI
Keyword(s):  
Option Pricing ◽  
Financial Markets ◽  
Price Dynamics ◽  
Jump Diffusions ◽  
Risky Assets ◽  
No Arbitrage ◽  
Market Completeness ◽  
Black Scholes ◽  
Stochastic Volatilities

We study markets with no riskless (safe) asset. We derive the corresponding Black–Scholes–Merton option pricing equations for markets where there are only risky assets which have the following price dynamics: (i) continuous diffusions; (ii) jump-diffusions; (iii) diffusions with stochastic volatilities, and; (iv) geometric fractional Brownian and Rosenblatt motions. No-arbitrage and market-completeness conditions are derived in all four cases.

European Financial Markets and Institutions

2009 ◽  
Author(s):  
Jakob de Haan ◽  
Sander Oosterloo ◽  
Dirk Schoenmaker
Keyword(s):  
Financial Markets ◽  
Markets And Institutions

Discrete Models of Financial Markets

2009 ◽  
Author(s):  
Marek Capinski ◽  
Ekkehard Kopp
Keyword(s):  
Financial Markets ◽  
Discrete Models

Financial Markets and Institutions

2012 ◽  
Author(s):  
Jakob de Haan ◽  
Sander Oosterloo ◽  
Dirk Schoenmaker
Keyword(s):  
Financial Markets ◽  
Markets And Institutions

Limit theorems and price changes in financial markets

1998 ◽  
Vol 77 (5) ◽  
pp. 1353-1356
Author(s):  
Rosario N. Mantegna, H. Eugene Stanley
Keyword(s):  
Financial Markets ◽  
Limit Theorems ◽  
Price Changes
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