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This paper introduces a novel multidimensional insurance-linked instrument: a contingent convertible bond (CoCoCat bond) whose conversion trigger is activated by predefined natural catastrophes across multiple geographical regions. We…

Pricing of Securities · Quantitative Finance 2025-10-21 Jacek Wszoła , Krzysztof Burnecki , Marek Teuerle , Martyna Zdeb

The constantly expanding frequency and loss affected by natural disasters pose a severe challenge to the traditional catastrophe insurance market. This paper aims to develop an innovative framework of pricing catastrophic bonds triggered by…

Applications · Statistics 2023-02-03 Yifan Tang , Chengxiu Ling , Conghua Wen

After the beginning of the credit and liquidity crisis, financial institutions have been considering creating a convertible-bond type contract focusing on Capital. Under the terms of this contract, a bond is converted into equity if the…

Pricing of Securities · Quantitative Finance 2013-02-28 Damiano Brigo , João Garcia , Nicola Pede

This paper explores the implications of using machine learning models in the pricing of catastrophe (CAT) bonds. By integrating advanced machine learning techniques, our approach uncovers nonlinear relationships and complex interactions…

Computational Finance · Quantitative Finance 2024-08-27 Xiaowei Chen , Hong Li , Yufan Lu , Rui Zhou

In recent years, the growing frequency and severity of natural disasters have increased the need for effective tools to manage catastrophe risk. Catastrophe (CAT) bonds allow the transfer of part of this risk to investors, offering an…

Pricing of Securities · Quantitative Finance 2025-12-30 Julia Kończal , Michał Balcerek , Krzysztof Burnecki

Using a suitable change of probability measure, we obtain a novel Poisson series representation for the arbitrage- free price process of vulnerable contingent claims in a regime-switching market driven by an underlying continuous- time…

Computational Finance · Quantitative Finance 2017-01-09 Agostino Capponi , Jose Figueroa-Lopez , Jeffrey Nisen

The insurance-linked securities (ILS) market, as a form of alternative risk transfer, has been at the forefront of innovative risk-transfer solutions. The catastrophe bond (CAT bond) market now represents almost half of the entire ILS…

Pricing of Securities · Quantitative Finance 2025-12-10 Krzysztof Burnecki , Marek Teuerle , Martyna Zdeb

Contingent Convertible bonds (CoCos) are debt instruments that convert into equity or are written down in times of distress. Existing pricing models assume conversion triggers based on market prices and on the assumption that markets can…

Pricing of Securities · Quantitative Finance 2023-05-18 Mike Derksen , Peter Spreij , Sweder van Wijnbergen

In the present paper we fill an essential gap in the Convertible Bonds pricing world by deriving a Binary Tree based model for valuation subject to credit risk. This model belongs to the framework known as Equity to Credit Risk. We show…

Pricing of Securities · Quantitative Finance 2012-06-08 K. Milanov , O. Kounchev

Catastrophe (CAT) bond markets are incomplete and hence carry uncertainty in instrument pricing. As such various pricing approaches have been proposed, but none treat the uncertainty in catastrophe occurrences and interest rates in a…

Pricing of Securities · Quantitative Finance 2022-05-11 Dixon Domfeh , Arpita Chatterjee , Matthew Dixon

In this work we want to provide a general principle to evaluate the CVA (Credit Value Adjustment) for a vulnerable option, that is an option subject to some default event, concerning the solvability of the issuer. CVA is needed to evaluate…

Computational Finance · Quantitative Finance 2019-07-31 Elisa Alos , Fabio Antonelli , Alessandro Ramponi , Sergio Scarlatti

We consider in this paper some structured financial products, known as reverse convertible notes, that resulted in substantial losses to certain buyers of these notes in recent years. We shall focus on specific reverse convertible notes…

Statistical Finance · Quantitative Finance 2018-04-04 Gilna K. Samuel , Donald St. P. Richards

We provide analytical pricing formula of corporate defaultable bond with both expected and unexpected default in the case with stochastic default intensity. In the case with constant short rate and exogenous default recovery using PDE…

Pricing of Securities · Quantitative Finance 2013-11-14 Hyong-Chol O , Ning Wan

This paper presents a convenient framework for modeling default process and pricing derivative securities involving credit risk. The framework provides an integrated view of credit valuation adjustment by linking distance-to-default,…

Pricing of Securities · Quantitative Finance 2023-09-08 David Xiao

The purpose of this paper is introducing rigorous methods and formulas for bilateral counterparty risk credit valuation adjustments (CVA's) on interest-rate portfolios. In doing so, we summarize the general arbitrage-free valuation…

Pricing of Securities · Quantitative Finance 2010-02-03 Damiano Brigo , Andrea Pallavicini , Vasileios Papatheodorou

Risk measure forecast and model have been developed in order to not only provide better forecast but also preserve its (empirical) property especially coherent property. Whilst the widely used risk measure of Value-at-Risk (VaR) has shown…

Risk Management · Quantitative Finance 2020-09-08 Bony Josaphat , Khreshna Syuhada

We introduce the general arbitrage-free valuation framework for counterparty risk adjustments in presence of bilateral default risk, including default of the investor. We illustrate the symmetry in the valuation and show that the adjustment…

Risk Management · Quantitative Finance 2009-11-19 Damiano Brigo , Agostino Capponi

Collateralized debt obligation (CDO) has been one of the most commonly used structured financial products and is intensively studied in quantitative finance. By setting the asset pool into different tranches, it effectively works out and…

Risk Management · Quantitative Finance 2021-04-15 Hao Tang , Anurag Pal , Lu-Feng Qiao , Tian-Yu Wang , Jun Gao , Xian-Min Jin

In this paper incomplete-information models are developed for the pricing of securities in a stochastic interest rate setting. In particular we consider credit-risky assets that may include random recovery upon default. The market…

Pricing of Securities · Quantitative Finance 2010-06-04 Andrea Macrina , Priyanka A. Parbhoo

In this paper, we consider catastrophe stop-loss reinsurance valuation for a reinsurance company with dynamic contagion claims. To deal with conventional and emerging catastrophic events, we propose the use of a compound dynamic contagion…

Risk Management · Quantitative Finance 2026-03-13 Jiwook Jang , Patrick J. Laub , Tak Kuen Siu , Hongbiao Zhao
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