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A simulation study of Basel II expected loss distributions for a portfolio of credit cards
Basel II consumer credit expected loss simulation
2011/8/22
Credit scoring models have been used traditionally as the basis of decisions to reject or accept credit applications. They are also used to categorize applicants or existing accounts into risk groups....
Monte Carlo Portfolio Optimization for General Investor Risk-Return Objectives and Arbitrary Return Distributions: a Solution for Long-only Portfolios
Portfolio Optimization Optimisation Random Portfolio Monte Carlo Simplex
2010/10/21
We develop the idea of using Monte Carlo sampling of random portfolios to solve portfolio investment problems. In this first paper we explore the need for more general optimization tools, and conside...
Bounds on Stock Price probability distributions in Local-Stochastic Volatility models
Law of the spot price local-stochastic volatility moment explosion
2010/10/20
We show that in a large class of stochastic volatility models with additional skew-functions (local-stochastic volatility models) the tails of the cumulative distribution of the log-returns behave as...
Maximum Entropy Distributions Inferred from Option Portfolios on an Asset
Entropy Information Theory I-Divergence Asset Distribution Option Pricing Volatility Smile
2010/10/29
We obtain the Maximum Entropy distribution for an asset from call and digital option prices. A
rigorous mathematical proof of its existence and exponential form is given, which can also be applied to...
The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map
alchemy probability distributions rank transmutation map
2010/10/29
Motivated by the need for parametric families of rich and yet tractable distributions in financial mathematics, both in pricing and risk management settings, but also considering wider statistical app...
Money Distributions in Chaotic Economies
Econophysics Gas-like Models Complex Systems Chaos Nonlinear Maps
2010/11/1
This paper considers the ideal gas-like model of trading markets, where each individual is identified as a gas molecule that interacts with others trading in elastic or moneyconservative
collisions.
The tail risks of FX return distributions: a comparison of the returns associated with limit orders and market orders
limit orders market orders tail risks
2011/3/31
This paper measures and compares the tail risks of limit and market orders using Extreme Value Theory. The analysis examines realised tail outcomes using the Dealing 2000-2 electronic broking system b...