Wrong way risk (WWR) is a consideration for regulatory capital for credit valuation adjustment (CVA). WWR is also of interest for pricing and accounting and in these cases must include funding as well as exposure and default in CVA and FVA calculation. Here we introduce a model independent...

Agents with heterogeneous beliefs about fundamental growth do not perfectly share risks but instead speculate with each other on the relative accuracy of their models' predictions. They face the risk that market prices move more in line with the trading models of competing agents rather than...

This paper discusses methodological aspects of equity valuation (stock pricing) in the context of continuous-time finance. The special emphasis of this study is to provide a framework and explicit formulas for the balance-sheet itemization of the product line contributions to the welfare of the...

We present the first step in a program to develop a comprehensive, unified equilibrium theory of asset and liability pricing. We give a mathematical framework for pricing insurance products in a multiperiod financial market. This framework reflects classical economic principles (like utility...

The HARA and CARA theory of pricing, and the theory of partial, yet the most conservative hedging, of a single (liquid) tradable derivative contract under multidimensionality of risks in incomplete markets, including markets with non-hedgable interest rate risks, was developed by the author in a...

It is a well-known anomaly that prices of put options are too high when options are out-of-the-money. This paper presents a simple general equilibrium model of the market where European put options become substantially overpriced when they are out-of-the-money. Overpricing is due to the presence...

We apply Geometric Arbitrage Theory to obtain results in mathematical finance for credit markets, which do not need stochastic differential geometry in their formulation. We obtain closed form equations involving default intensities and loss given defaults characterizing the...

The aim of this paper is to investigate the dependence between exchange rates and their volatility from the information synthesised into currency options quotes. To this purpose, we propose an affine stochastic volatility model with self-exciting structure under a timechanged pure jump Lévy...

In this article we provide a new definition of concave conditional performance measures. We prove a duality to conditional risk measures. New dynamic performance measures based on dynamic risk measures are established. We are able to derive dynamic bid and ask prices with respect to a stochastic...

Potential Future Exposure (PFE) is a standard risk metric for managing business unit counterparty credit risk but there is debate on how it should be calculated. The debate has been whether to use one of many historical ("physical") measures (one per calibration setup), or one of many...