• East Asian mathematical journal
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• v.37 no.5
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• pp.567-576
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• 2021

In this paper, we deal with the pricing of vulnerable power exchange option. We consider the hybrid model as the credit risk model. The hybrid model consists of a combination of the reduced-form model and the structural model. We derive the closed-form pricing formula of vulnerable power exchange option based on the change of measure technique.

• East Asian mathematical journal
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• v.37 no.5
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• pp.553-566
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• 2021

In the over-the-counter market, option's buyers could have a problem for default risk caused by option's writers. In addition, many participants try to maximize their benefits obviously in investing the financial derivatives. Taking all these circumstances into consideration, we deal with the vulnerable power options under a constant elasticity variance (CEV) model. We derive an analytic pricing formula for the vulnerable power option by using the asymptotic analysis, and then we verify that the analytic formula can be obtained accurately by comparing our solution with Monte-Carlo price. Finally, we examine the effect of CEV on the option price based on the derived solution.

• New & Renewable Energy
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• v.10 no.1
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• pp.41-49
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• 2014

For a proper valuation of wind power project, it is necessary to consider volatilities of key parameters such as annual energy production, electricity sales price, and long term interest rate. Real option methodology allows to calculate option values of these parameters. Volatilities to be considered in wind project valuation are 1) annual energy production (AEP) estimation due to meteorological variation and estimation errors in wind speed distribution, 2) changes in system marginal price (SMP), and 3) interest rate fluctuation of project financing which provides refinancing option to be exercised during a loan tenor for commercial scale projects. Real option valuation turns out to be more than half of the sales value based on a case study for a FIT scheme wind project that was sold to a financial investor.

• Journal of applied mathematics & informatics
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• v.39 no.5_6
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• pp.677-688
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• 2021

In the modern financial market, the scale of financial instrument transactions in the over-the-counter (OTC) market are increasing. However, in this market, there exists a counterparty credit risk. Herein, we obtain a closed-form solution of power option with credit risks, using the double Mellin transforms. We also use a numerical method to compare the differentiations of option price between the closed-form solution and Monte-Carlo simulation. The result shows that the closed-form solution is precise. In addition, the option's price is sensitive to the exponent of the maturity stock price.

• Transactions of the Korean hydrogen and new energy society
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• v.25 no.3
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• pp.319-335
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• 2014

This study attempts to suggest an economic analysis model for SNG projects, which can reflect the future uncertainty objectively and applies the real option valuation incorporating the flexible investment decision. Based on this analysis model, net present value and internal rate of return were estimated by using preliminary feasibility study report of SNG project. And economic evaluation of SNG project was performed with real option valuation using binomial option model. Through this, the difference of analysis results between the real option valuation model and the discounted cash flow model were compared and the usefulness of the real option valuation model was confirmed. From the actual proof analysis, it is confirmed that the real option valuation model showed higher SNG project value than the discounted cash flow model did. It was confirmed that by applying the real option valuation model, economic analysis can be performed on not only the current straightforward SNG project, but also various future portfolios having options such as expansion, modification, or decommission.

• The Journal of Society for e-Business Studies
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• v.24 no.2
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• pp.125-141
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• 2019

This paper provides economic analysis for a residential photovoltaic (PV) power system of 5 districts in China and Thailand, using SAM (System Advisor Model) data. Unlike existing literature, the analysis is conducted from the investment timing perspective, as applying to a real option model which can incorporate the cost uncertainty of the PV system and a resident's option to delay the investment. This study shows that the gap of optimal investment times between a real option model and a generally used net present value model ranges from about 6 to 14 years. Also, we found a contracting result for a particular district that, while the investment is appropriate according to the net present value model, it is more reasonable to delay the PV system investment in terms of the real option model.

• Journal of the Korean Institute of Electrical and Electronic Material Engineers
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• v.26 no.9
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• pp.690-700
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• 2013

This study reviewed how the changes of the government policy on solar power generation projects affected the annual mandatory quotas of the regulated power providers under the RPS (renewable portfolio standard) system and analysed economic feasibility of the investment for meeting their quotas as compared to the case of non-regulated power providers. The analysis results showed that under the discount rate of 7.5%, which was used for the annual national electricity plans for the recent years, both the regulated and non-regulated power providers achieved economic feasibility under both the NPV (net present value) method and the real option pricing method. It was also shown that higher profitability was attained by non-regulated power providers than by their regulated counterparts, which can be attributable to the fact that regulated providers are required to out-source 50% of the total quota. The results of this study are considered to be useful for establishing a meaningful mid term or long term strategy for the future of solar power generation linked to the current RPS system.

• Bulletin of the Korean Mathematical Society
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• v.56 no.2
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• pp.351-364
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• 2019

We derive full closed-form expressions for the prices of European symmetric power quanto call options with four different forms of terminal payoffs under the assumption of the classical lognormal asset price and exchange rate model.

• Journal of applied mathematics & informatics
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• v.32 no.5_6
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• pp.665-673
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• 2014

Power options have payoffs that are determined by the price of the underlying asset raised to some power. In this paper, power options are considered under a regime-switching model which can capture complex asset dynamics by permitting switching between different regimes. The pricing formulas for the Laplace transforms of power options are obtained. The prices of power options are calculated using the formulas and compared with the results of the Monte Carlo simulation.

• East Asian mathematical journal
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• v.40 no.1
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• pp.63-74
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• 2024

Timer options are financial instruments proposed by Société Générale Corporate and Investment Banking in 2007. Unlike vanilla options, where the expiry date is fixed, the expiry date of timer options is determined by the investor's choice, which is in linked to a variance budget. In this study, we derive a pricing formula for hybrid options that combine timer options, digital options, and power options, considering an environment where volatility of an underlying asset follows a fast-mean-reverting process. Additionally, we aim to validate the pricing accuracy of these analytical formulas by comparing them with the results obtained from Monte Carlo simulations. Finally, we conduct numerical studies on these options to analyze the impact of stochastic volatility on option's price with respect to various model parameters.