This essay explores the link between the exponential probability density function and the present value function coupled with moment theory to derive important non probabilistic parameters from the Present value function in which are then used to derive a measure of the volatility of interest...

This paper studies the behavior of the smile in the Warsaw Stock Exchange (WSE) during the volatile summer of 2011.We investigate the volatility smile derived from liquid call and put options on the Polish WIG20 index which option series expired on September 2011. In this period, the polish...

We introduce a novel methodology to hedge changes in the market values of credit exposures using equity put options. Our new hedge ratios are derived from the application of contingent-claims valuation and are fundamentally different from existing hedging methods aimed at neutralizing the loss...

The importance of collateralization through the change of funding cost is now well recognized among practitioners. In this article, we have extended the previous studies of collateralized derivative pricing to more generic situation, that is asymmetric and imperfect collateralization with the...

In this article, we study the algorithmic calculation of present values greeks for callable exotic instruments. The speed of greeks evaluations becomes important with recent initial margin rules, including the ISDA standard model SIMM, requiring sensitivity calculations for non-cleared deals...

This paper studies the impact of variance risk in the Treasury market on both term premia and the shape of the yield curve. Under minimal assumptions shared by standard structural and reduced-form asset pricing models, I show that an observable proxy of variance risk in the Treasury market can...

Computing Standardized Initial Margin Model Margin Valuation Adjustment (SIMM-MVA) requires the simulation of future sensitivities, but these are expensive to compute for callable products. This paper introduces a method which avoids nested calls to the pricing function, similar to the use of...

One-way coupling often occurs in multi-dimensional models in finance. In this paper, we present a dimension reduction technique for Monte Carlo (MC) methods, referred to as drMC, that exploits this structure for pricing plain-vanilla European options under a N-dimensional one-way coupled model,...

We estimate the value of the embedded option in the U.S. Treasury Inflation Protected Securities (TIPS). The embedded option value exhibits time variation that is correlated with periods of deflationary expectations. We construct embedded option explanatory variables that are statistically and...

This is a survey of the basic theoretical foundations of intertemporal asset pricing theory. The broader theory is first reviewed in a simple discrete-time setting, emphasizing the key role of state prices. The existence of state prices is equivalent to the absence of arbitrage. State prices,...