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In this paper we consider the pricing of variable annuities (VAs) with guaranteed minimum withdrawal benefits. We consider two pricing approaches, the classical risk-neutral approach and the benchmark approach, and we examine the associated…

Pricing of Securities · Quantitative Finance 2019-06-05 Jin Sun , Kevin Fergusson , Eckhard Platen , Pavel V. Shevchenko

Motivated by the current global high inflation scenario, we aim to discover a dynamic multi-period allocation strategy to optimally outperform a passive benchmark while adhering to a bounded leverage limit. To this end, we formulate an…

Portfolio Management · Quantitative Finance 2023-05-26 Chendi Ni , Yuying Li , Peter A. Forsyth

We consider rate swaps which pay a fixed rate against a floating rate in presence of bid-ask spread costs. Even for simple models of bid-ask spread costs, there is no explicit strategy optimizing an expected function of the hedging error.…

Computational Finance · Quantitative Finance 2016-04-13 Christophe Michel , Victor Reutenauer , Denis Talay , Etienne Tanré

In a stochastic volatility framework, we find a general pricing equation for the class of payoffs depending on the terminal value of a market asset and its final quadratic variation. This allows a pricing tool for European-style claims…

Pricing of Securities · Quantitative Finance 2012-06-12 Lorenzo Torricelli

We consider the problem of valuation of American options written on dividend-paying assets whose price dynamics follows a multidimensional exponential Levy model. We carefully examine the relation between the option prices, related partial…

Probability · Mathematics 2018-09-20 Tomasz Klimsiak , Andrzej Rozkosz

This paper studies the dividend and capital injection problem under a diffusion risk model with general discount functions. A proportional cost is imposed when injecting capitals. For exponential discounting as time-consistent benchmark, we…

Mathematical Finance · Quantitative Finance 2025-05-30 Sang Hu , Zihan Zhou

The Affordable Care Act (ACA) includes a permanent revenue transfer methodology which provides financial incentives to health insurance plans that have higher than average actuarial risk. In this paper, we derive some statistical…

Applications · Statistics 2018-06-08 Michelle Li , Donald Richards

How do cost shocks pass through to prices in markets with price dispersion? We decompose the problem into two layers. In the competition layer, consumers' consideration sets determine equilibrium distributions of normalized margins. In the…

Theoretical Economics · Economics 2026-04-23 Brian C. Albrecht , Mark Whitmeyer

A multi--state life insurance model is naturally described in terms of the intensity matrix of an underlying (time--inhomogeneous) Markov process which describes the dynamics for the states of an insured person. Between and at transitions,…

Probability · Mathematics 2019-05-14 Mogens Bladt , Søren Asmussen , Mogens Steffensen

We introduce a collective model for life insurance where the heterogeneity of each insured, including the health state, is modeled by a diffusion process. This model is influenced by concepts in statistical mechanics. Using the proposed…

General Finance · Quantitative Finance 2020-12-18 Jirô Akahori , Yuuki Ida , Maho Nishida , Shuji Tamada

One of the most fundamental questions in quantitative finance is the existence of continuous-time diffusion models that fit market prices of a given set of options. Traditionally, one employs a mix of intuition, theoretical and empirical…

Computational Finance · Quantitative Finance 2023-10-09 Nelson Vadori

Prudent management of insurance investment portfolios requires competent asset pricing of fixed-income assets with time-to-event contingent cash flows, such as consumer asset-backed securities (ABS). Current market pricing techniques for…

Risk Management · Quantitative Finance 2023-02-27 Jackson P. Lautier , Vladimir Pozdnyakov , Jun Yan

This work deals with an optimal asset allocation problem for a defined contribution (DC) pension plan during its accumulation phase. The contribution rate is proportional to the individual's salary, the dynamics of which follows a Heston…

Optimization and Control · Mathematics 2021-03-04 Xiaoyi Zhang , Linlin Tian

We develop a novel deep learning approach for pricing European options in diffusion models, that can efficiently handle high-dimensional problems resulting from Markovian approximations of rough volatility models. The option pricing partial…

Computational Finance · Quantitative Finance 2025-04-04 Antonis Papapantoleon , Jasper Rou

In this paper, the intra-day multi-interval rolling-window joint dispatch and pricing of energy and reserve is studied under increasing volatile and uncertain renewable generations. A look-ahead energy-reserve co-optimization model is…

Systems and Control · Electrical Eng. & Systems 2023-08-09 Jiantao Shi , Ye Guo , Wenchuan Wu , Hongbin Sun

We study an optimal stopping problem with an unbounded, time-dependent and discontinuous reward function. This problem is motivated by the pricing of a variable annuity contract with guaranteed minimum maturity benefit, under the assumption…

Mathematical Finance · Quantitative Finance 2026-03-10 Anne Mackay , Marie-Claude Vachon

The state-of-the-art proposes Life Care Annuities, that have been recently designed as variable annuity contracts with Long-Term Care payouts and Guaranteed Lifelong Withdrawal Benefits. In this paper, we propose more general features for…

Computational Finance · Quantitative Finance 2024-05-10 G. Apicella , A. Molent , M. Gaudenzi

The main purpose of this work is to derive a partial differential equation for the reserves of life insurance liabilities subject to stochastic interest rates where the benefits and premiums depend directly on changes in the interest rate…

Risk Management · Quantitative Finance 2021-01-01 David R. Baños

This paper is concerned with the determination of pricing strategies for a firm that in each period of a finite horizon receives replenishment quantities of a single product which it sells in two markets, e.g., a long-distance market and an…

Optimization and Control · Mathematics 2015-09-25 Wen , Chen , Adam Fleischhacker , Michael N. Katehakis

Estimands using the treatment policy strategy for addressing intercurrent events are common in Phase III clinical trials. One estimation approach for this strategy is retrieved dropout whereby observed data following an intercurrent event…

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