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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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1122 · Mar 201519922001200920172026
23 results for Bequest

Paper finds closed-form solutions for tontine with bequest motive.

problem Finding optimal fractional consumption rate and bequest amount under bequest motive.
method Relaxing fixed proportions assumption, introducing bequest proportion as control function.
result Closed-form solutions for fractional consumption rate, wealth, bequest amount, and proportion.

The paper addresses optimal control in modern tontines with bequest preferences, showing a linear investment strategy.

problem Optimal controls and decreasing allocation in modern tontines with bequest preferences.
method Dual approach to solve optimal control problems with power utilities, modeling bequest preferences.
result Investment strategy almost linearly adjusts from 0% to 100% over time.

We determine the optimal strategies for purchasing term life insurance and for investing in a risky financial market in order to maximize the probability of reaching a bequest goal while consuming from an investment account. We extend Bayraktar and Young (2015) by allowing the individual to purchase term life insurance…

2014-12-06abs ↗pdf ↗

We introduce a new pension product that offers retirees the opportunity for a lifelong income and a bequest for their estate. Based on a tontine mechanism, the product divides pension savings between a tontine account and a bequest account. The tontine account is given up to a tontine pool upon death while the bequest …

2019-03-14abs ↗pdf ↗

In this paper, optimal consumption and investment decisions are studied for an investor who can invest in a fixed interest rate bank account and a stock whose price is a log normal diffusion. We present the method of the HJB equation in order to explicitly solve problems of this type with modifications such as a fixed …

2014-09-13abs ↗pdf ↗

Investigates timing and asset allocation for life insurance in uncertain financial planning.

problem Optimal timing and asset allocation for life insurance in uncertain financial planning.
method Analytical solutions using duality theory and free-boundary problems.
result Explicit expressions for value functions and optimal strategies in both scenarios.

We determine how an individual can use life insurance to meet a bequest goal. We assume that the individual's consumption is met by an income, such as a pension, life annuity, or Social Security. Then, we consider the wealth that the individual wants to devote towards heirs (separate from any wealth related to the afor…

2014-02-21abs ↗pdf ↗

The paper optimizes insurance purchases for financial goals.

problem Maximizing probability of achieving financial goals with insurance.
method Analyzes deferred term insurance in deterministic and stochastic frameworks, considering income, consumption, and risky investment.
result Provides optimal insurance and investment strategies for achieving financial goals.

The paper optimizes DIA purchase policies using lifecycle models and asset allocation.

problem Determining the optimal allocation to Deferred Income Annuities (DIAs).
method Employed a lifecycle model with utility of consumption and bequest, formalized optimization process, analyzed results, and extended model to include asset allocation.
result Optimal DIA allocation varies based on refundability, asset allocation, and perceived longevity.

We determine the optimal strategy for investing in a Black-Scholes market in order to maximize the probability that wealth at death meets a bequest goal bb, a type of goal-seeking problem, as pioneered by Dubins and Savage (1965, 1976). The individual consumes at a constant rate cc, so the level of wealth required fo…

2015-03-03abs ↗pdf ↗

This paper presents a dynamic model to study the impact on the economic outcomes in different societies during the Malthusian Era of individualism (time spent working alone) and collectivism (complementary time spent working with others). The model is driven by opposing forces: a greater degree of collectivism provides…

2015-12-04abs ↗pdf ↗

Deep neural network optimizes retirement consumption in defined contribution pensions.

problem Optimizing consumption in a defined contribution pension system.
method Formulated as a stochastic control problem, trained deep neural network policy.
result Deep neural network outperforms deterministic rules and adapts to market changes.

Homeownership boosts wealth and welfare compared to renting, according to new research.

problem The conventional wisdom that renting is better than owning a home.
method Block-bootstrap lifecycle simulation to compare homeownership and renting strategies.
result Homeownership generates more wealth and welfare gains than renting, especially for households with high labor income.

The "standard" Merton formulation of optimal investment and consumption involves optimizing the integrated lifetime utility of consumption, suitably discounted, together with the discounted future bequest. In this formulation the utility of consumption at any given time depends only on the amount consumed at that time.…

2008-10-03abs ↗pdf ↗

Optimal timing for converting savings into annuities considering mortality risk.

problem Determining the best time to annuitize retirement savings under stochastic mortality.
method Formulated as a three-dimensional optimal stopping problem, reduced to nested one-dimensional problems, solved using PDMP structure.
result Rich structure for the optimal annuitization rule, covering various parameter specifications.

The paper analyzes optimal timing for converting wealth into annuities in the presence of a mortality shock.

problem Optimal timing for converting retirement wealth into annuities under a mortality risk.
method Derives explicit closed-form solutions for value function and optimal stopping boundaries.
result The optimal strategy depends on the interplay between annuity attractiveness, investment returns, and bequest motives.

Introduces RPU to explain randomization preference in dynamic settings.

problem Explains preference for randomization in dynamic investment problems.
method Introduces recursive perturbed utility (RPU) to incorporate randomization preference.
result Proves RPU-optimal portfolio policy is Gaussian and can be expressed in closed form.