Pathwise moderate deviations for option pricing

Autor: Konstantinos Spiliopoulos, Antoine Jacquier
Rok vydání: 2019
Předmět:
Mathematics
Interdisciplinary Applications

Economics and Econometrics
DIFFUSION-APPROXIMATION
FUNCTIONALS
Economics
Social Sciences
math.PR
01 natural sciences
STOCHASTIC VOLATILITY
FOS: Economics and business
010104 statistics & probability
SYSTEMS
Business & Economics
0102 Applied Mathematics
Accounting
Transfer (computing)
q-fin.MF
0502 economics and business
FOS: Mathematics
Econometrics
0101 mathematics
Scaling
Mathematics
Science & Technology
050208 finance
Applied Mathematics
Probability (math.PR)
05 social sciences
1502 Banking
Finance and Investment

Social Sciences
Mathematical Methods

POISSON EQUATION
Business
Finance

Mathematical Finance (q-fin.MF)
Quantitative Finance - Mathematical Finance
Valuation of options
Physical Sciences
Large deviations theory
PRINCIPLE
Pricing of Securities (q-fin.PR)
Moderate deviations
Quantitative Finance - Pricing of Securities
q-fin.PR
Mathematics - Probability
Mathematical Methods In Social Sciences
Social Sciences (miscellaneous)
Finance
Zdroj: Mathematical Finance. 30:426-463
ISSN: 1467-9965
0960-1627
Popis: We provide a unifying treatment of pathwise moderate deviations for models commonly used in financial applications, and for related integrated functionals. Suitable scaling enables us to transfer these results into small‐time, large‐time, and tail asymptotics for diffusions, as well as for option prices and realized variances. In passing, we highlight some intuitive relationships between moderate deviations rate functions and their large deviations counterparts; these turn out to be useful for numerical purposes, as large deviations rate functions are often difficult to compute.
Databáze: OpenAIRE