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We develop a model for indifference pricing in derivatives markets where price quotes have bid-ask spreads and finite quantities. The model quantifies the dependence of the prices and hedging portfolios on an investor's beliefs, risk…

Pricing of Securities · Quantitative Finance 2018-03-08 John Armstrong , Teemu Pennanen , Udomsak Rakwongwan

The inclusion of DVA in the fair-value of derivative transactions has now become standard accounting practice in most parts of the world. Furthermore, some sophisticated banks are including an FVA (Funding Valuation Adjustment), but since…

Pricing of Securities · Quantitative Finance 2014-04-22 Johan Gunnesson , Alberto Fernández Muñoz de Morales

We study the pricing and the hedging of claim {\psi} which depends on the default times of two firms A and B. In fact, we assume that, in the market, we can not buy or sell any defaultable bond of the firm B but we can only trade…

Pricing of Securities · Quantitative Finance 2012-09-27 Stephane Goutte , Armand Ngoupeyou

This paper studies pricing derivatives in an age-dependent semi-Markov modulated market. We consider a financial market where the asset price dynamics follow a regime switching geometric Brownian motion model in which the coefficients…

Pricing of Securities · Quantitative Finance 2019-10-21 Milan Kumar Das , Anindya Goswami , Tanmay S. Patankar

We present a general derivation of the arbitrage-free pricing framework for multiple-currency collateralized products. We include the impact on option pricing of the policy adopted to fund in foreign currency, so that we are able to price…

Pricing of Securities · Quantitative Finance 2015-09-15 Nicola Moreni , Andrea Pallavicini

Valuation adjustments, collectively named XVA, play an important role in modern derivatives pricing to take into account additional price components such as counterparty and funding risk premia. They are an exotic price component carrying a…

Pricing of Securities · Quantitative Finance 2025-03-06 Lorenzo Silotto , Marco Scaringi , Marco Bianchetti

This paper is concerned with the study of insurance related derivatives on financial markets that are based on non-tradable underlyings, but are correlated with tradable assets. We calculate exponential utility-based indifference prices,…

Pricing of Securities · Quantitative Finance 2010-04-14 Stefan Ankirchner , Peter Imkeller , Goncalo dos Reis

This paper considers exponential utility indifference pricing for a multidimensional non-traded assets model subject to inter-temporal default risk, and provides a semigroup approximation for the utility indifference price. The key tool is…

Pricing of Securities · Quantitative Finance 2015-09-22 Vicky Henderson , Gechun Liang

We consider a continuous-time financial market with no arbitrage and no transactions costs. In this setting, we introduce two types of perpetual contracts, one in which the payoff to the long side is a fixed function of the underlyers and…

Mathematical Finance · Quantitative Finance 2022-09-08 Guillermo Angeris , Tarun Chitra , Alex Evans , Matthew Lorig

The research presented in this work is motivated by recent papers by Brigo et al. (2011), Burgard and Kjaer (2009), Cr\'epey (2012), Fujii and Takahashi (2010), Piterbarg (2010) and Pallavicini et al. (2012). Our goal is to provide a sound…

Mathematical Finance · Quantitative Finance 2014-12-11 Tomasz R. Bielecki , Marek Rutkowski

This paper discusses the valuation of credit default swaps, where default is announced when the reference asset price has gone below certain level from the last record maximum, also known as the high-water mark or drawdown. We assume that…

Mathematical Finance · Quantitative Finance 2020-04-29 Zbigniew Palmowski , Budhi Surya

Changes in collateralization have been implicated in significant default (or near-default) events during the financial crisis, most notably with AIG. We have developed a framework for quantifying this effect based on moving between…

Risk Management · Quantitative Finance 2013-02-20 Chris Kenyon , Andrew Green

This paper proposes a Monte Carlo technique for pricing the forward yield to maturity, when the volatility of the zero-coupon bond is known. We make the assumption of deterministic default intensity (Hazard Rate Function). We make no…

Computational Finance · Quantitative Finance 2012-04-23 Didier Kouokap Youmbi

We characterize the price of an Asian option, a financial contract, as a fixed-point of a non-linear operator. In recent years, there has been interest in incorporating changes of regime into the parameters describing the evolution of the…

Pricing of Securities · Quantitative Finance 2018-04-26 Adriana Ocejo

In this paper, we deal with an axiomatic approach to default risk. We introduce the notion of a default risk measure, which generalizes the classical probability of default (PD), and allows to incorporate model risk in various forms. We…

Mathematical Finance · Quantitative Finance 2023-09-21 Max Nendel , Jan Streicher

In this paper we present a novel approach for firm default probability estimation. The methodology is based on multivariate contingent claim analysis and pair copula constructions. For each considered firm, balance sheet data are used to…

Risk Management · Quantitative Finance 2015-08-24 Luciana Dalla Valle , Maria Elena De Giuli , Claudia Tarantola , Claudio Manelli

Based on forward curves modelled as Hilbert-space valued processes, we analyse the pricing of various options relevant in energy markets. In particular, we connect empirical evidence about energy forward prices known from the literature to…

Mathematical Finance · Quantitative Finance 2014-12-30 Fred Espen Benth , Paul Krühner

In recent years, the counterparty credit risk measure, namely the default risk in \emph{Over The Counter} (OTC) derivatives contracts, has received great attention by banking regulators, specifically within the frameworks of \emph{Basel II}…

Pricing of Securities · Quantitative Finance 2017-04-12 Michele Bonollo , Luca Di Persio , Luca Mammi , Immacolata Oliva

In this paper we develop a tractable structural model with analytical default probabilities depending on some dynamics parameters, and we show how to calibrate the model using a chosen number of Credit Default Swap (CDS) market quotes. We…

Pricing of Securities · Quantitative Finance 2009-12-17 Damiano Brigo , Marco Tarenghi

In this article, we consider a 2 factors-model for pricing defaultable bond with discrete default intensity and barrier where the 2 factors are stochastic risk free short rate process and firm value process. We assume that the default event…

Pricing of Securities · Quantitative Finance 2013-10-22 Hyong-Chol O , Yong-Gon Kim , Dong-Hyok Kim