Open AccessMEASURING MODEL RISK IN FINANCIAL RISK MANAGEMENT AND PRICING
Author(s) -
Valeriane Jokhadze,
Wolfgang M. Schmidt
Publication year - 2020
Publication title -
international journal of theoretical and applied finance
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.469
H-Index - 35
eISSN - 1793-6322
pISSN - 0219-0249
DOI - 10.1142/s0219024920500120
Subject(s) - model risk , econometrics , risk management , financial risk , dynamic risk measure , market risk , risk measure , financial risk management , probability distribution , computer science , probability measure , actuarial science , value at risk , economics , statistics , mathematics , finance , portfolio
Risk measurement and pricing of financial positions are based on modeling assumptions, which are common assumptions on the probability distribution of the position’s outcomes. We associate a model with a probability measure and investigate model risk by considering a model space. First, we incorporate model risk into market risk measures by introducing model weighted and superposed market risk measures. Second, we quantify model risk itself and propose axioms for model risk measures. We introduce superposed model risk measures that quantify model risk relative to a reference model, which is the financial institution’s model of choice. Several risk measures that we propose require a probability distribution on the model space, which can be obtained from data by applying Bayesian analysis. Examples and a case study illustrate our approaches.