• Title/Summary/Keyword: Option price

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Valuation of American Option Prices Under the Double Exponential Jump Diffusion Model with a Markov Chain Approximation (이중 지수 점프확산 모형하에서의 마코브 체인을 이용한 아메리칸 옵션 가격 측정)

  • Han, Gyu-Sik
    • Journal of Korean Institute of Industrial Engineers
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    • v.38 no.4
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    • pp.249-253
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    • 2012
  • This paper suggests a numerical method for valuation of American options under the Kou model (double exponential jump diffusion model). The method is based on approximation of underlying asset price using a finite-state, time-homogeneous Markov chain. We examine the effectiveness of the proposed method with simulation results, which are compared with those from the conventional numerical method, the finite difference method for PIDE (partial integro-differential equation).

PRICING OF POWER OPTIONS UNDER THE REGIME-SWITCHING MODEL

  • Kim, Jerim
    • 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.

자원가격 불확실성 하에 북미 독립계 E&P기업의 투자옵션 연구

  • Gwon, O-Jeong;Park, Eun-Cheon;Park, Ho-Jeong
    • Environmental and Resource Economics Review
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    • v.21 no.3
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    • pp.441-464
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    • 2012
  • As prices of energy resources such as oil and gas started to rise steadily in 2000, energy security has been one of the most important topics in the world. To secure more energy, most of countries which are highly dependent on imported energy resources try to occupy oversea oil or gas reserves, thereby intensifying competition for energy resources around world. Under this circumstance, we focus on independent E&P companies since they are relatively small size companies which are suitable for M&A. We analyze investment option values for these E&P companies using a real option model for depletable resources. Based on analytical model, empirical study is provided to examine rationality of investment for energy companies. The result shows sufficient profitability for independent E&P companies in both oil and gas projects in the North America during 2004 to 2008. In Particular, oil projects were more feasible than gas project due to lower price of gas and high volatility of gas price at that time.

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The Study of Consumer's Clothing Discount Store Selection Behavior by Their Price Attitude and Risk Perception (소비자의 가격태도와 위험지각에 따른 의류할인점 선택행동에 관한 연구)

  • 박은주;홍금희
    • Journal of the Korean Society of Clothing and Textiles
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    • v.23 no.4
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    • pp.529-540
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    • 1999
  • The purpose of this study is examine how price attitude and risk perception affect6 consumer's attitude to clothing discount stores. As for the methods of the research 313 female consumers who just finished shopping at discount stores were interviewed and questioned. The result is as the following. 1. The factors such as discount price inclination effective value inclination price-quality association and price-social grade association in the price attitude as well as social psychological risk and the risk of losing opportunity in the risk perception affected consumer's attitude to clothing discount store. 2. The domestic national brand discount store acquired the highest scores in all factors but discount inclination factor and low price inclination factor. No difference was seen between stores in terms of the risk perception. 3. The determining factors for repurchase intention were found to be store satisfaction and the attitude to clothing discount store. 4. The convenience of transportation the availability of exchange or repair the payment option the quality of the product and the attributes of the store e, g, good quality with relatively low price affected the store satisfaction. 5. Domestic national brand discount store showed higher score in 'good quality with relatively low price' than domestic casual brand discount store did. And difference between groups was found in repurchase intention, Conclusively most consumers using clothing discount stores are effective value-oriented.

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Systematic Risk Factors Implied in the Return Dynamics of KOSPI 200 Index Options (KOSPI 200 지수(옵션)의 수익률생성과정에 내재된 체계적 위험요인)

  • Kim, Moo-Sung;Kang, Tae-Hun
    • The Korean Journal of Financial Management
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    • v.25 no.2
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    • pp.69-101
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    • 2008
  • We empirically investigate the option leverage property that should be priced under much more general conditions than the Black-Scholes assumptions and the option redundancy property that is based on the assumption that the underlying asset price follows a one-dimensional diffusion process and examine the systematic risk factors implied in the return dynamics of KOSPI 200 index options. We find that the option leverage pattern is similar to the theoretical result but the options are not redundant securities and in the nonlinear structure of option payoffs, the traders of KOSPI 200 index options price the systematic higher-moments and the negative volatility risk premium significantly affects delta-hedged gains, even after accounting for jump fears. But the empirical evidence on jump risk preference is less conclusive.

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Economic Feasibility of Forest Biomass Thermal Energy Facility Using Real Option Approach (실물옵션법을 이용한 산림 바이오매스 열공급 시설의 투자 분석)

  • An, Hyunjin;Min, Kyungtaek
    • Journal of Korean Society of Forest Science
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    • v.110 no.3
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    • pp.453-461
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    • 2021
  • The energy use of forest biomass is crucial to deal with climate change and achieve the carbon-neutral goal. This study aims to analyze the economic feasibility of forest biomass thermal energy facilities and calculate the optimal subsidy level of heat supply to ensure continued operation of the facilities. To achieve this aim, the net present value approach (NPV) and call option price model are adopted considering wood chip price volatilities. The Forest Energy Self-Sufficient Village Project financed by Korea Forest Service is considered as the research case study. In our analysis, when 50% of the initial investment is given to the subsidies and RECs are applied to only power generation, NPV and IRR are both negative and the investment value using the real option model is also zero. We concluded that some heat subsidies should be acknowledged to keep the facilities operating. Besides, the simulation results reveal reliable economic values when the heating subsidy is priced at KRW 0.0248 per kcal.

RELATIONSHIPS BETWEEN AMERICAN PUTS AND CALLS ON FUTURES CONTRACTS

  • BYUN, SUK JOON;KIM, IN JOON
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.2
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    • pp.11-20
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    • 2000
  • This paper presents a formula that relates the optimal exercise boundaries of American call and put options on futures contract. It is shown that the geometric mean of the optimal exercise boundaries for call and put written on the same futures contract with the same exercise price is equal to the exercise price which is time invariant. The paper also investigates the properties of American calls and puts on futures contract.

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Estimating the Investment Value of Fuel Cell Power Plant Under Dual Price Uncertainties Based on Real Options Methodology (이중 가격 불확실성하에서 실물옵션 모형기반 연료전지 발전소 경제적 가치 분석)

  • Sunho Kim;Wooyoung Jeon
    • Environmental and Resource Economics Review
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    • v.31 no.4
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    • pp.645-668
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    • 2022
  • Hydrogen energy is emerging as an important means of carbon neutrality in the various sectors including power, transportation, storage, and industrial processes. Fuel cell power plants are the fastest spreading in the hydrogen ecosystem and are one of the key power sources among means of implementing carbon neutrality in 2050. However, high volatility in system marginal price (SMP) and renewable energy certificate (REC) prices, which affect the profits of fuel cell power plants, delay the investment timing and deployment. This study applied the real option methodology to analyze how the dual uncertainties in both SMP and REC prices affect the investment trigger price level in the irreversible investment decision of fuel cell power plants. The analysis is summarized into the following three. First, under the current Renewable Portfolio Standard (RPS), dual price uncertainties passed on to plant owners has significantly increased the investment trigger price relative to one under the deterministic price case. Second, reducing the volatility of REC price by half of the current level caused a significant drop in investment trigger prices and its investment trigger price is similar to one caused by offering one additional REC multiplier. Third, investment trigger price based on gray hydrogen and green hydrogen were analyzed along with the existing byproduct hydrogen-based fuel cells, and in the case of gray hydrogen, economic feasibility were narrowed significantly with green hydrogen when carbon costs were applied. The results of this study suggest that the current RPS system works as an obstacle to the deployment of fuel cell power plants, and policy that provides more stable revenue to plants is needed to build a more cost-effective and stable hydrogen ecosystem.

A numerical study on option pricing based on GARCH models with normal mixture errors (정규혼합모형의 오차를 갖는 GARCH 모형을 이용한 옵션가격결정에 대한 실증연구)

  • Jeong, Seung Hwan;Lee, Tae Wook
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.2
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    • pp.251-260
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    • 2017
  • The option pricing of Black와 Scholes (1973) and Merton (1973) has been widely reported to fail to reflect the time varying volatility of financial time series in many real applications. For example, Duan (1995) proposed GARCH option pricing method through Monte Carlo simulation. However, financial time series is known to follow a fat-tailed and leptokurtic probability distribution, which is not explained by Duan (1995). In this paper, in order to overcome such defects, we proposed the option pricing method based on GARCH models with normal mixture errors. According to the analysis of KOSPI200 option price data, the option pricing based on GARCH models with normal mixture errors outperformed the option pricing based on GARCH models with normal errors in the unstable period with high volatility.

BARRIER OPTION PRICING UNDER THE VASICEK MODEL OF THE SHORT RATE

  • Sun, Yu-dong;Shi, Yi-min;Gu, Xin
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1501-1509
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    • 2011
  • In this study, assume that the stock price obeys the stochastic differential equation driven by mixed fractional Brownian motion, and the short rate follows the Vasicek model. Then, the Black-Scholes partial differential equation is held by using fractional Ito formula. Finally, the pricing formulae of the barrier option are obtained by partial differential equation theory. The results of Black-Scholes model are generalized.