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Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/178953
Jump-diffusion models for valuing the future: Discounting under extreme situations
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We develop the process of discounting when underlying rates follow a jump-diffusion process, that is, when, in addition to diffusive behavior, rates suffer a series of finite discontinuities located at random Poissonian times. Jump amplitudes are also random and governed by an arbitrary density. Such a model may describe the economic evolution, specially when extreme situations occur (pandemics, global wars, etc.). When, between jumps, the dynamical evolution is governed by an Ornstein-Uhlenbeck diffusion process, we obtain exact and explicit expressions for the discount function and the long-run discount rate and show that the presence of discontinuities may drastically reduce the discount rate, a fact that has significant consequences for environmental planning. We also discuss as a specific example the case when rates are described by the continuous time random walk.
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MASOLIVER, Jaume, MONTERO TORRALBO, Miquel, PERELLÓ, Josep. Jump-diffusion models for valuing the future: Discounting under extreme situations. _Mathematics_. 2021. Vol. 2021, núm. 9, pàgs. 1589-1-1589-26. [consulta: 21 de gener de 2026]. ISSN: 2227-7390. [Disponible a: https://hdl.handle.net/2445/178953]