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In this paper, we analyse some equity-linked contracts that are related to drawdown and drawup events based on assets governed by a geometric spectrally negative L\'evy process. Drawdown and drawup refer to the differences between the…

Pricing of Securities · Quantitative Finance 2018-02-20 Zbigniew Palmowski , Joanna Tumilewicz

In this paper we consider some insurance policies related to drawdown and drawup events of log-returns for an underlying asset modeled by a spectrally negative geometric L\'evy process. We consider four contracts, three of which were…

Pricing of Securities · Quantitative Finance 2017-10-10 Zbigniew Palmowski , Joanna Tumilewicz

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

We consider a diffusion risk model where proportional reinsurance can be bought. In order to stabilise the surplus process, one tries to keep the drawdown, that is the difference of the surplus to its historical maximum, in an interval…

Optimization and Control · Mathematics 2025-04-07 Kira Dudziak , Hanspeter Schmidli

Drawdowns measuring the decline in value from the historical running maxima over a given period of time, are considered as extremal events from the standpoint of risk management. To date, research on the topic has mainly focus on the side…

Pricing of Securities · Quantitative Finance 2016-03-11 David Landriault , Bin Li , Hongzhong Zhang

We consider a market model where there are two levels of information. The public information generated by the financial assets, and a larger flow of information that contains additional knowledge about a random time. This random time can…

Mathematical Finance · Quantitative Finance 2018-05-30 Tahir Choulli , Catherine Daveloose , Michèle Vanmaele

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

We study the design of an optimal insurance contract in which the insured maximizes her expected utility and the insurer limits the variance of his risk exposure while maintaining the principle of indemnity and charging the premium…

Risk Management · Quantitative Finance 2020-08-18 Yichun Chi , Xun Yu Zhou , Sheng Chao Zhuang

In this paper we study the optimal investment and reinsurance problem of an insurance company whose investment preferences are described via a forward dynamic exponential utility in a regime-switching market model. Financial and actuarial…

Portfolio Management · Quantitative Finance 2021-06-29 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

I analyze long-term contracting in insurance markets with asymmetric information. The buyer privately observes her risk type, which evolves stochastically over time. A long-term contract specifies a menu of insurance policies, contingent on…

Theoretical Economics · Economics 2022-09-01 Vitor Farinha Luz

In this paper, we consider an optimal reinsurance problem to minimize the probability of drawdown for the scaled Cram\'er-Lundberg risk model when the reinsurance premium is computed according to the mean-variance premium principle. We…

Optimization and Control · Mathematics 2022-01-04 Pablo Azcue , Xiaoqing Liang , Nora Muler , Virginia R. Young

The valuation process that economic agents undergo for investments with uncertain payoff typically depends on their statistical views on possible future outcomes, their attitudes toward risk, and, of course, the payoff structure itself.…

Pricing of Securities · Quantitative Finance 2010-01-11 Constantinos Kardaras

We study the optimal timing of derivative purchases in incomplete markets. In our model, an investor attempts to maximize the spread between her model price and the offered market price through optimally timing her purchase. Both the…

Pricing of Securities · Quantitative Finance 2011-10-12 Tim Leung , Michael Ludkovski

In this work we study drawdowns and drawups of general diffusion processes. The drawdown process is defined as the current drop of the process from its running maximum, while the drawup process is defined as the current increase over its…

Probability · Mathematics 2009-11-10 Hongzhong Zhang , Olympia Hadjiliadis

We develop a pricing rule for life insurance under stochastic mortality in an incomplete market by assuming that the insurance company requires compensation for its risk in the form of a pre-specified instantaneous Sharpe ratio. Our…

Pricing of Securities · Quantitative Finance 2008-12-02 Virginia R. Young

This paper explores optimal insurance solutions based on the Lambda-Value-at-Risk ($\Lambda\VaR$). If the expected value premium principle is used, our findings confirm that, similar to the VaR model, a truncated stop-loss indemnity is…

Risk Management · Quantitative Finance 2025-08-19 Tim J. Boonen , Yuyu Chen , Xia Han , Qiuqi Wang

We build a general model for pricing defaultable claims. In addition to the usual absence of arbitrage assumption, we assume that one defaultable asset (at least) looses value when the default occurs. We prove that under this assumption, in…

Pricing of Securities · Quantitative Finance 2010-05-04 Delia Coculescu

We investigate an optimal reinsurance problem for an insurance company facing a constant fixed cost when the reinsurance contract is signed. The insurer needs to optimally choose both the starting time of the reinsurance contract and the…

Mathematical Finance · Quantitative Finance 2021-01-14 Matteo Brachetta , Claudia Ceci

We empirically test predictability on asset price by using stock selection rules based on maximum drawdown and its consecutive recovery. In various equity markets, monthly momentum- and weekly contrarian-style portfolios constructed from…

General Finance · Quantitative Finance 2024-05-24 Jaehyung Choi

Currently, legal requirements demand that insurance companies increase their emphasis on monitoring the risks linked to the underwriting and asset management activities. Regarding underwriting risks, the main uncertainties that insurers…

Risk Management · Quantitative Finance 2020-08-19 Eduardo Ramos-Pérez , Pablo J. Alonso-González , José Javier Núñez-Velázquez
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