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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.

168,695 papers · 148 categories

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48 results for discrete dividends

This paper uses basket option formulas to price vanilla options with discrete dividends.

problem Pricing vanilla options on stocks with discrete cash dividends.
method Uses existing basket option formulas for European options on a single asset with cash dividends in the piecewise lognormal model.
result Explains the use of basket option formulas for a specific problem in the piecewise lognormal model.

Paper presents a new method for pricing American options with hybrid dividends.

problem Complex pricing of American options with discrete and continuous dividends.
method Uses the GIT method to transform pricing problem into an integral equation.
result The GIT method provides a powerful alternative to traditional numerical techniques.

The article presents a general discrete time dividend valuation model when the dividend growth rate is a general continuous variable. The main assumption is that the dividend growth rate follows a discrete time semi-Markov chain with measurable space. The paper furnishes sufficient conditions that assure finiteness of …

2016-05-09abs ↗pdf ↗

The presence of discrete dividends complicates the derivation and form of pricing formulas even for vanilla options. Existing analytic, numerical, and theoretical approximations provide results of varying quality and performance. Here, we compare the analytic approach, developed and effective for European puts and call…

2016-01-05abs ↗pdf ↗

We propose a model in which dividend payments occur at regular, deterministic intervals in an otherwise continuous model. This contrasts traditional models where either the payment of continuous dividends is controlled or the dynamics are given by discrete time processes. Moreover, between two dividend payments, the st…

2018-05-14abs ↗pdf ↗

Optimal dividends for insurers with climate tipping point consideration.

problem Natural catastrophe claims and climate tipping point impact insurance profits.
method Two-dimensional stochastic control problems with Erlang distribution for tipping point timing, numerical approximation.
result Non-stationary climate tipping point can benefit shareholders by optimizing dividends.

Study optimal dividend strategies for insurers with natural catastrophe claims.

problem Maximizing dividends for a catastrophe insurer over its lifetime.
method Two-dimensional stochastic control problem, viscosity solutions, numerical approximation.
result Optimal dividend strategies identified for natural catastrophe insurers.

Optimal dividend strategy with ratcheting and capital injection under Cramér-Lundberg model.

problem Optimal dividend payout for an insurance company with ratcheting constraints and capital injections.
method Systematic probabilistic and PDE-based approach to solve HJB equation, constructing strong solution and optimal strategy.
result Existence and uniqueness of strong solution, explicit optimal feedback control strategy.

The paper optimizes insurance dividend payments and reinsurance strategies under specific distribution constraints.

problem Optimizing insurance dividend payments and reinsurance strategies with terminal distribution constraints.
method Explicit expressions for optimal strategies found in both discrete and continuous time settings.
result Explicit expressions for optimal dividend strategies and reinsurance strategies found.

This paper presents an axiomatic scheme for interest rate models in discrete time. We take a pricing kernel approach, which builds in the arbitrage-free property and provides a link to equilibrium economics. We require that the pricing kernel be consistent with a pair of axioms, one giving the inter-temporal relations …

2009-11-04abs ↗pdf ↗

The method and characteristics of several approaches to the pricing of discretely monitored arithmetic Asian options on stocks with discrete, absolute dividends are described. The contrast between method behaviors for options with an Asian tail and those with monitoring throughout their lifespan is emphasized. Rates of…

2017-02-03abs ↗pdf ↗

Study proves existence and convergence of discrete-time Kyle models with multiple insiders.

problem Existence and convergence of discrete-time Kyle models with multiple informed traders.
method Proves existence and convergence of discrete-time Kyle models with multiple informed traders using mathematical proofs.
result Equilibrium exists and converges to continuous-time equilibrium as the number of trading times increases.

In this paper we propose a new model for pricing stock and dividend derivatives. We jointly specify dynamics for the stock price and the dividend rate such that the stock price is positive and the dividend rate non-negative. In its simplest form, the model features a dividend rate that is mean-reverting around a consta…

2019-08-16abs ↗pdf ↗

New formulas for pricing Asian and basket options using stochastic expansion.

problem Pricing Asian and basket options under time-dependent parameters.
method Stochastic Taylor expansion around a log-normal proxy model.
result Highly accurate approximations for Asian options and vanilla options with discrete dividends.

Over the last decade, dividends have become a standalone asset class instead of a mere side product of an equity investment. We introduce a framework based on polynomial jump-diffusions to jointly price the term structures of dividends and interest rates. Prices for dividend futures, bonds, and the dividend paying stoc…

2018-03-06abs ↗pdf ↗

New approach to optimal dividend control with mean-variance criterion.

problem Balancing expected dividends and variability in a singular control framework.
method Game-theoretic approach to find time-consistent equilibrium strategies.
result Verification theorem for MV singular dividend control problem.

Optimal dividend strategy with irreversible reinsurance constraints.

problem Maximizing dividends while adhering to ratcheting and irreversible reinsurance constraints.
method Modeling dividend and reinsurance levels as nondecreasing processes, solving Hamilton-Jacobi-Bellman equation.
result Threshold strategy is optimal for maximizing discounted dividends until ruin.

In this paper we study the optimal dividend problem for a company whose surplus process evolves as a spectrally positive Levy process. This model including the dual model of the classical risk model and the dual model with diffusion as special cases. We assume that dividends are paid to the shareholders according to ad…

2013-02-09abs ↗pdf ↗

Optimal control problem for firm cash flow with dividend and capital injection strategies.

problem Maximizing dividends while managing capital injections in a firm's cash flow.
method Proved two optimal strategies: mean-reverting dividends with capital injections or no injections until ruin.
result Optimal strategies are dichotomous: either mean-reverting dividends with injections or no injections.

Study optimal periodic dividend strategies for risky businesses with transaction costs.

problem Optimal periodic dividend strategies for spectrally positive Lévy risk processes with fixed transaction costs.
method Investigates periodic (bu,bl)(b_u,b_l) strategies for a Poisson arrival process of decision times.
result A periodic (bu,bl)(b_u,b_l) strategy is optimal with lump sum dividends net of transaction costs.

In this paper we consider the optimal dividend problem for an insurance company whose risk process evolves as a spectrally negative Lévy process in the absence of dividend payments. The classical dividend problem for an insurance company consists in finding a dividend payment policy that maximizes the total expected di…

2007-02-28abs ↗pdf ↗

This paper solves an optimal dividend payout problem with ratcheting constraints using a novel method.

problem Optimal dividend payout under ratcheting constraints for a Brownian motion surplus process.
method Novel partial differential equation method to solve the Hamilton-Jacobi-Bellman (HJB) equation.
result Existence and uniqueness of solution in stronger functional spaces, strict monotonicity, boundedness, and CC^\infty-smoothness of the free boundary.

Study finds dividend payout policy positively impacts firm profitability.

problem Determining the optimal dividend payout ratio and its effect on financial performance.
method Panel data analysis of 60 Indian listed firms over 10 years, using ROA as a proxy for profitability.
result Positive and significant relationship between dividend payout policy and firm performance.

Study asset pricing with reference-dependent preferences, finding matching equity premia.

problem Understanding asset pricing under reference-dependent preferences.
method Discrete-time consumption-based capital asset pricing model with reference-dependent preferences.
result Models can generate equity premia matching empirical estimates, showing procyclical price-dividend ratio and countercyclical equity premium.

We present an arbitrage free theoretical framework for modeling bid and ask prices of dividend paying securities in a discrete time setup using theory of dynamic acceptability indices. In the first part of the paper we develop the theory of dynamic subscale invariant performance measures, on a general probability space…

2014-12-19abs ↗pdf ↗

In this note we study the optimal dividend problem for a company whose surplus process, in the absence of dividend payments, evolves as a generalized compound Poisson model in which the counting process is a generalized Poisson process. This model including the classical risk model and the Polya-Aeppli risk model as sp…

2013-05-08abs ↗pdf ↗

The paper analyzes optimal dividend strategies for risky businesses, considering both periodic and extraordinary payments.

problem Maximizing dividends paid until ruin, net of transaction costs.
method Modeling cash surplus as Brownian motion, considering different types of dividends with transaction costs.
result Optimal strategies depend on business profitability and transaction costs, sometimes including liquidation.

Paper shows equivalence between two dividend preference models.

problem Understanding investor and firm preferences for dividends.
method Formulated Epstein-Zin preference, proved equivalence with Maenhout's model.
result Robust dividend policy is equivalent to a threshold strategy based on surplus process.

We study a singular stochastic control problem faced by the owner of an insurance company that dynamically pays dividends and raises capital in the presence of the restriction that the surplus process must be above a given dividend payout barrier in order for dividend payments to be allowed. Bankruptcy occurs if the su…

2019-02-17abs ↗pdf ↗

Optimizes dividend payouts with fixed costs and regime switching.

problem Maximizing dividends with fixed transaction costs and regime switching.
method Identifies optimal dividend strategy as a two-barrier impulsive strategy.
result Explicit determination of optimal strategy for various drift and volatility scenarios.

Optimal dividend payout strategy found for Brownian risk model with ratcheting constraint.

problem Optimal dividend payout from a surplus process governed by Brownian motion with drift under ratcheting constraint.
method Solved a two-dimensional optimal control problem using viscosity solutions of Hamilton-Jacobi-Bellman equations.
result Threshold and curve strategies identified as optimal for different dividend rate sets.

Study optimal strategies for insurer's dividends, investments, and liabilities.

problem Maximize insurer's utility of dividend payments over an infinite horizon.
method Perturbation approach to obtain optimal strategy and value function in closed form.
result Obtained optimal strategy and value function for log and power utility.