On an irreversible investment problem with two-factor uncertainty

@article{Dammann2021OnAI,
  title={On an irreversible investment problem with two-factor uncertainty},
  author={Finn Dammann and Giorgio Ferrari},
  journal={Quantitative Finance},
  year={2021},
  volume={22},
  pages={907 - 921}
}
We consider a real options model for the optimal irreversible investment problem of a profit-maximizing company. The company has the opportunity to invest in a production plant capable of producing two products, of which the prices follow two independent geometric Brownian motions. After paying a constant sunk investment cost, the company sells the products on the market and thus receives a continuous stochastic revenue flow. This investment problem is set as a two-dimensional optimal stopping… 

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References

SHOWING 1-10 OF 47 REFERENCES

Renewing Assets with Uncertain Revenues and Operating Costs

We study optimal replacement and abandonment decisions for real assets, when both revenues and costs are uncertain and deteriorate with age. We develop an implicit representation of the renewal

Variational principles and free-boundary problems

Handbook of Brownian Motion - Facts and Formulae

I: Theory.- I. Stochastic processes in general.- II. Linear diffusions.- III. Stochastic calculus.- IV. Brownian motion.- V. Local time as a Markov process.- VI. Differential systems associated to

The Value of Green Energy under Regulation Uncertainty

We examine investments in power generation projects under policy uncertainty, when the investor has the choice between two alternative technologies, a gas-fired plant and a wind plant. Increased

The Value of Waiting to Invest

This paper studies the optimal timing of investment in an irreversible project where the benefits from the project and the investment cost follow continuous-time stochastic processes. The optimal

Global $C^{1}$ regularity of the value function in optimal stopping problems

We show that if either the process is strong Feller and the boundary point is probabilistically regular for the stopping set, or the process is strong Markov and the boundary point is

Continuity of the optimal stopping boundary for two-dimensional diffusions

  • G. Peskir
  • Mathematics
    The Annals of Applied Probability
  • 2019
We first show that a smooth fit between the value function and the gain function at the optimal stopping boundary for a two-dimensional diffusion process implies the absence of boundary’s

Reward functionals, salvage values, and optimal stopping

An explicit representation of the value function in terms of the minimal r-excessive mappings for the considered diffusion is derived and it is proved that the smooth pasting principle follows directly from the approach, while the contrary is not necessarily true.

Optimal Stopping and Free-Boundary Problems

Optimal stopping: General facts.- Stochastic processes: A brief review.- Optimal stopping and free-boundary problems.- Methods of solution.- Optimal stopping in stochastic analysis.- Optimal stopping