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A One-Factor Conditionally Linear Commodity Pricing Model under Partial Information

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  • Takashi Kato
  • Jun Sekine
  • Hiromitsu Yamamoto

Abstract

A one-factor asset pricing model with an Ornstein--Uhlenbeck process as its state variable is studied under partial information: the mean-reverting level and the mean-reverting speed parameters are modeled as hidden/unobservable stochastic variables. No-arbitrage pricing formulas for derivative securities written on a liquid asset and exponential utility indifference pricing formulas for derivative securities written on an illiquid asset are presented. Moreover, a conditionally linear filtering result is introduced to compute the pricing/hedging formulas and the Bayesian estimators of the hidden variables.

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  • Takashi Kato & Jun Sekine & Hiromitsu Yamamoto, 2014. "A One-Factor Conditionally Linear Commodity Pricing Model under Partial Information," Papers 1406.4275, arXiv.org.
    • Handle: RePEc:arx:papers:1406.4275
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    References listed on IDEAS

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