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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 dividend derivatives

Proposes a new model for stock and dividend derivatives pricing.

problem Pricing stock and dividend derivatives with positive stock prices and non-negative dividends.
method Jointly specifies dynamics for stock price and dividend rate, using mean-reverting dividend rate.
result Closed-form expressions for stock and dividend futures prices, accurate option approximations.

New approach to optimal dividend timing with limited payouts.

problem Optimal timing of dividends with a constraint on the number of payouts.
method Developed a new type of time-inconsistent stochastic impulse control problem, derived the optimal solution in the precommitment sense, and formulated it as a sequential dynamic game.
result An equilibrium strategy derived for the problem, showing strong subgame perfect Nash equilibrium.

The paper adjusts stock and strike prices for dividends after maturity in stock call pricing.

problem Inconsistent pricing of European calls with dividends after maturity.
method Extension of the Black-Scholes formula to include dividends after maturity.
result Model-consistent pricing of calls over all maturities with dividends after maturity.

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.

We consider a modification of the dividend maximization problem from ruin theory. Based on a classical risk process we maximize the difference of expected cumulated discounted dividends and total expected discounted additional funding (subject to some proportional transaction costs). For modelling dividends we use the …

2019-01-18abs ↗pdf ↗

This paper studies the optimal dividend problem with capital injection under the constraint that the cumulative dividend strategy is absolutely continuous. We consider an open problem of the general spectrally negative case and derive the optimal solution explicitly using the fluctuation identities of the refracted-ref…

2017-09-19abs ↗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.

A firm with heterogeneous shareholders optimizes dividends under ambiguity aggregation.

problem Optimizing dividends for a firm with heterogeneous shareholders under ambiguity aggregation.
method Characterizing equilibrium dividends using a partition of the state space.
result Time-homogeneous equilibrium dividend law characterized by a partition of the state space.

Extends pricing theory for collateralized derivatives to include jumps and dividends.

problem Pricing collateralized derivatives with jumps and dividends.
method Extends No-Arbitrage theory to semimartingales, deriving pricing, dynamics, and forward prices.
result Derives pricing, dynamics, and forward prices of collateralized derivatives.

This paper examines a heterogeneous beliefs model in which there is a process that is only partially observed by the agents. The economy contains a risky asset producing dividends continuously in time. The dividends are observed by the agents. The dividends are assumed to be a known function of some other unobserved pr…

2009-07-28abs ↗pdf ↗

The paper optimizes dividend strategies for companies with assets and liabilities under solvency constraints.

problem Maximizing dividends while adhering to solvency requirements in the face of correlated asset and liability movements.
method Developed verification lemmas to show optimal barrier dividend strategies in two cases: with and without shareholder funding.
result Optimal dividend strategies are barrier-type, derived in closed form and illustrated.

Enhanced Gordon growth model for valuing financial products.

problem Valuation of financial products with time-varying interest rates and dividends.
method Dynamic Gordon growth model with time-varying spot interest rate and dividends, risk-neutral valuation, locally risk-minimizing strategy.
result Pricing and hedging formulas for dividend-paying European options and equity-linked life insurance products.

The paper analyzes optimal dividend and capital injection strategies under time-inconsistent preferences.

problem Optimal dividend and capital injection strategies under time-inconsistent preferences.
method Diffusion risk model with general discount functions, weak equilibrium definition, HJB equation system.
result Explicit solutions and threshold types of optimal strategies derived under different discount functions.

Optimal dividend payout strategies with drawdown constraint identified.

problem Optimal dividend payout strategies under a drawdown constraint.
method Solving a two-dimensional optimal control problem using viscosity solutions and calculus of variations.
result A two-curve strategy is optimal for sufficiently large initial and maximum dividend rates, with a surprising limit result for large maximum dividend rates.

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 ↗

This paper introduces an information-based model for the pricing of storable commodities such as crude oil and natural gas. The model uses the concept of market information about future supply and demand as a basis for valuation. Physical ownership of a commodity is taken to provide a stream of convenience dividends eq…

2013-07-21abs ↗pdf ↗

New asymptotic formula for option prices with interest rates and dividend yield effects.

problem Deriving option prices with interest rates and dividend yield effects in the local volatility model.
method Developed a new asymptotic limit for short-maturity option prices, including interest rates and dividend yield effects.
result Generalized the Berestycki-Busca-Florent formula to all orders in nn for interest rates and dividend yield effects.

This paper optimizes dividend payout rates with a drawdown constraint in a stochastic model.

problem Optimizing dividend payout rates while avoiding drawdowns in a stochastic model.
method Solving a path-dependent stochastic control problem using Hamilton-Jacobi-Bellman equations and PDE methods.
result Explicit characterization of an optimal feedback control strategy, including two free boundaries and the running maximum surplus process.

We consider the valuation problem of an (insurance) company under partial information. Therefore we use the concept of maximizing discounted future dividend payments. The firm value process is described by a diffusion model with constant and observable volatility and constant but unknown drift parameter. For transformi…

2016-02-15abs ↗pdf ↗

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.

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.

This paper surveys options pricing under arithmetic Brownian motion and derives formulas for various types of options.

problem The use of arithmetic Brownian motion in finance is not widely adopted.
method Risk-neutral valuation and derivation of formulas for European options under three types of underlying assets.
result Derivation of formulas for European options and partial differential equations for American options.

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 ↗

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 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.

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.

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 ↗

Optimal dividend strategy for insurance company in foreign currency.

problem Maximizing dividends paid in a foreign currency until ruin.
method Spectrally negative Lévy process, exponentially Lévy exchange rate, Hamilton--Jacobi--Bellman equation.
result Single dividend barrier strategy is optimal.

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 ↗