In this short notice, we present structure of the perfect hedging. Closed form formulas clarify the fact that Black-Scholes (BS) portfolio which provides perfect hedge only at initial moment. Holding portfolio over a certain period implies additional cash flow, which could not be imbedded in BS...

We develop an arbitrage-free framework for consistent valuation of derivative trades with collateralization, counterparty credit gap risk, and funding costs, following the approach first proposed by Pallavicini and co-authors in 2011. Based on the risk-neutral pricing principle, we derive a...

In this article, I incorporate the anchoring-and-adjustment heuristic into the Black-Scholes option pricing framework, and show that this is equivalent to replacing the risk-free rate with a higher interest rate. I show that the price from such a behavioralized version of the Black-Scholes model...

Summarizing option surfaces using parametric representations, their movements are decomposed into a number of effects. Arguments are presented for treating traditional sensitivity attribution terms as regression factors leading to significant attribution improvements

The first part of this document is dedicated to the pricing of undiscounted Vanilla Options: we compute the price and sensitivities of Calls and Puts, and highlight the different FX Delta conventions. The most important application of specific FX market conventions (and particularly Deltas...

We devise simulation/regression numerical schemes for pricing the CVA on CDO tranches, where CVA stands for Credit Valuation Adjustment, or price correction accounting for the defaultability of a counterparty in an OTC derivatives transaction. This is done in the setup of a continuous-time...

We exploit a unique sample of structured financial products (SFPs) to analyze pricing and issuance dependencies among different types of such market-linked investment vehicles. Our study provides evidence of cross pricing between products with complementary payoff profiles. Such dependencies may...

To capture mean reversion and sharp seasonal spikes observed in electricity prices, this paper develops a new stochastic model for electricity spot prices by time changing the Jump Cox-Ingersoll-Ross (JCIR) process with a random clock that is a composite of a Gamma subordinator and a...

In this paper we develop a model of corporate bonds pricing. We begin with default definition which is similar to one that is used in the standard reduced form of default model. The primary distinction between our model and reduced form of default model is interpretation of the date-t price of...