2020
DOI: 10.4236/jmf.2020.104040
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Adaptive Risk Hedging for Call Options under Cox-Ingersoll-Ross Interest Rates

Abstract: We present a solution to the problem posed by Zhang et al. [1] regarding Call Option price C T under linear investment hedging for the stochastic interest rate modeled by a CIR Process. A closed form representation for C T by expected value of the path-integral along a square functional of n-dimensional Ornstein-Uhlenbeck process is derived. The method is suitable for Monte-Carlo simulation and illustrated by an example.

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Cited by 18 publications
(17 citation statements)
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“…There are numerous alternative distributions namely Gamma, Lognormal, Rayleigh, Nakagami, Gumbel, Burr, Generalized Extreme Value (GEV), Inverse Gaussian (IG), etc. [17,18]. Hence, in this study, different distributions (Weibull, Gamma, Rayleigh, GEV, IG, and Lognormal) are employed in order to find the most suitable model for wind-speed data based on the goodness of fit criteria.…”
Section: Review Of the Literaturementioning
confidence: 99%
See 1 more Smart Citation
“…There are numerous alternative distributions namely Gamma, Lognormal, Rayleigh, Nakagami, Gumbel, Burr, Generalized Extreme Value (GEV), Inverse Gaussian (IG), etc. [17,18]. Hence, in this study, different distributions (Weibull, Gamma, Rayleigh, GEV, IG, and Lognormal) are employed in order to find the most suitable model for wind-speed data based on the goodness of fit criteria.…”
Section: Review Of the Literaturementioning
confidence: 99%
“…To evaluate the energy output of each turbine, wind speed distribution parameters have been calculated at the hub-height. Consequently, wind turbine capacity factor and availability factor are determined using Equations (18) and (19), respectively. For cost-effective investment in the wind energy sector, it is asserted that the capacity factor of wind turbines should be between 0.25-0.45 to be economically efficient and feasible [92].…”
Section: Wind Turbine Selectionmentioning
confidence: 99%
“…The WT expansion concepts are important in variable speed wind turbines, and DFIG usually pertains to wind generation technology [98].…”
Section: Power Capacity In Wind Farmsmentioning
confidence: 99%
“…Zhang et al [4] extended the result for Call Option to stochastic interest rates following the Vasicek model. Subsequently, Ghorbani and Korzeniowski [5] obtained the Call Option price with investment strategy for the Cox-Ingersoll-Ross (CIR) interest rates model via path-integral representation based on n-dimensional Ornstein-Uhlenbeck process.…”
Section: Introductionmentioning
confidence: 99%