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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.

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48 results for bequest motive

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.

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 ↗

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 ↗

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 ↗

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.

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 ↗

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.

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 ↗

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.

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.

Paper shows intrinsic motivation boosts exploration efficiency in HRL.

problem Efficient exploration and subgoal discovery in model-free HRL.
method Unsupervised learning over agent's experiences for subgoal discovery.
result Intrinsic motivation learning improves exploration efficiency.

The paper calculates the motive of a specific knot's character variety.

problem Computing the motive of the character variety of torus knots representations.
method Introduced a stratification of the variety based on a canonical filtration, reducing the motive computation to a combinatorial problem.
result Computed the motive of the character variety for torus knots.

Research identifies four motivational groups for crypto-metaverse landowners.

problem Understanding motivations of retail investors in the crypto-metaverse.
method Detailed financial behavior survey and principal components analysis.
result Four distinct motivational groups identified: Aesthetics, Social, Speculation, Innovation.

Paper reviews intrinsic motivations and their role in open-ended learning.

problem Understanding intrinsic motivations and their role in open-ended learning.
method Defining intrinsic motivations, presenting psychological/neuroscientific and computational models.
result Links between psychological/neuroscientific and computational models of intrinsic motivations.

The paper connects Chern-Simons invariants to mixed Tate motives in hyperbolic 3-manifolds.

problem Understanding the relationship between Chern-Simons invariants and mixed Tate motives in hyperbolic 3-manifolds.
method Constructing a mixed Tate motive over the invariant trace field whose image equals the Chern-Simons invariant and complex volume.
result The mixed Hodge realization of the motive is a quotient of the path torsor of the augmented character variety.

We show that, when considering the anisotropic scaling factors and their derivatives as affine variables, the coefficients of the heat kernel expansion of the Dirac-Laplacian on SU(2)SU(2) Bianchi IX metrics are algebro-geometric periods of motives of complements in affine spaces of unions of quadrics and hyperplanes. We …

2017-09-23abs ↗pdf ↗

Study intrinsic motivation for synergistic tasks in reinforcement learning.

problem Sparse-reward synergistic tasks where multiple agents must work together.
method Propose incentivizing actions that affect the world in ways not achievable individually, using either true states or a dynamics model.
result Our approach yields more efficient learning than typical methods.

Skip connections improve biologically-inspired learning rules.

problem Biologically-inspired learning rules often underperform compared to backpropagation.
method Introduced skip connections between intermediate layers in biologically-motivated learning rules.
result Skip connections can match the performance of backpropagation and are robust to hyper-parameters.

Researchers prove birational invariance of BCOV invariant using motivic integration.

problem Proving the birational invariance of BCOV invariant for Calabi-Yau manifolds and varieties.
method Motivic integration theory applied to Calabi-Yau varieties with Kawamata log terminal singularities.
result Birational Calabi-Yau manifolds have the same BCOV invariant.

Stratifies representation varieties of twisted Hopf links.

problem Stratifying representation varieties of twisted Hopf links.
method Using stratification of AGLr(C)\mathrm{AGL}_r(\mathbb{C})-representation varieties of the fundamental group of the complement of a twisted Hopf link.
result Explicit description and computation of motives for ranks 1 and 2.

We test the hypothesis that interconnections across financial institutions can be explained by a diversification motive. This idea stems from the empirical evidence of the existence of long-term exposures that cannot be explained by a liquidity motive (maturity or currency mismatch). We model endogenous interconnection…

2014-08-20abs ↗pdf ↗

Proposes MCCF to distinguish latent purchasing motivations in user-item interactions.

problem Difficulty in capturing fine-grained user preferences due to complex latent motivations.
method Introduces MCCF with decomposer and combiner modules to identify and recombine latent components.
result Significant performance gains and necessity of considering multiple components demonstrated.

We view strict ring spectra as generalized rings. The study of their algebraic K-theory is motivated by its applications to the automorphism groups of compact manifolds. Partial calculations of algebraic K-theory for the sphere spectrum are available at regular primes, but we seek more conceptual answers in terms of lo…

2014-03-24abs ↗pdf ↗

This paper presents the Homeo-Heterostatic Value Gradients (HHVG) algorithm as a formal account on the constructive interplay between boredom and curiosity which gives rise to effective exploration and superior forward model learning. We envisaged actions as instrumental in agent's own epistemic disclosure. This motiva…

2018-06-05abs ↗pdf ↗