• Title/Summary/Keyword: Black-Scholes Option Pricing Model

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Elaboration of Real Options Model and the Adequacy of Volatility

  • Sung, Tae-Eung;Park, Hyun-Woo
    • Asian Journal of Innovation and Policy
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    • v.6 no.2
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    • pp.225-244
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    • 2017
  • When evaluating the economic value of technology or business project, we need to consider the period and cost for commercialization. Since the discounted cash flow (DCF) method has limitations in that it can not consider consecutive investment or does not reflect the probabilistic property of commercialization cost, we often take it desirable to apply the concept of real options with key metrics of underlying asset value, commercialization cost, and volatility, while regarding the value of technology and investment as the opportunity value. We at this moment provide more elaborated real options model with the effective region of volatility, which reflects the uncertainty in the option pricing model (OPM).

Investigation of the Structure of the Strategic Net Present Value and Its Economic Interpretation through the Opportunity Cost Concept (기회비용 개념을 이용한 실물투자 프로젝트의 전략적 순 현재가치의 구성요소와 경제적 해석)

  • Kim, Gyutai;Choi, Sungho
    • Journal of Korean Institute of Industrial Engineers
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    • v.29 no.2
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    • pp.126-134
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    • 2003
  • Among a variety of models proposed by so far to calculate the real options value when the investment decision about the underlying project may be delayed, the Black-Scholes and the binomial lattice models have been widely used and discussed by academics and practitioners. However these two models do not provide us with intuition into how it is constructed and what it does really mean. In this paper, we will therefore explore its components and practically more intuitive meaning. With the components explored, we developed the mathematical model to calculate the real options value and thus strategic net present value, based on the opportunity cost concept, for which the investment decision about the underlying project is postponed by one year. We will finally present a short illustrative example for readers better understanding on the model proposed in the paper.

Estimation of KOSPI200 Index option volatility using Artificial Intelligence (이기종 머신러닝기법을 활용한 KOSPI200 옵션변동성 예측)

  • Shin, Sohee;Oh, Hayoung;Kim, Jang Hyun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.26 no.10
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    • pp.1423-1431
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    • 2022
  • Volatility is one of the variables that the Black-Scholes model requires for option pricing. It is an unknown variable at the present time, however, since the option price can be observed in the market, implied volatility can be derived from the price of an option at any given point in time and can represent the market's expectation of future volatility. Although volatility in the Black-Scholes model is constant, when calculating implied volatility, it is common to observe a volatility smile which shows that the implied volatility is different depending on the strike prices. We implement supervised learning to target implied volatility by adding V-KOSPI to ease volatility smile. We examine the estimation performance of KOSPI200 index options' implied volatility using various Machine Learning algorithms such as Linear Regression, Tree, Support Vector Machine, KNN and Deep Neural Network. The training accuracy was the highest(99.9%) in Decision Tree model and test accuracy was the highest(96.9%) in Random Forest model.

An estimation of implied volatility for KOSPI200 option (KOSPI200 옵션의 내재변동성 추정)

  • Choi, Jieun;Lee, Jang Taek
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.3
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    • pp.513-522
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    • 2014
  • Using the assumption that the price of a stock follows a geometric Brownian motion with constant volatility, Black and Scholes (BS) derived a formula that gives the price of a European call option on the stock as a function of the stock price, the strike price, the time to maturity, the risk-free interest rate, the dividend rate paid by the stock, and the volatility of the stock's return. However, implied volatilities of BS method tend to depend on the stock prices and the time to maturity in practice. To address this shortcoming, we estimate the implied volatility function as a function of the strike priceand the time to maturity for data consisting of the daily prices for KOSPI200 call options from January 2007 to May 2009 using support vector regression (SVR), the multiple additive regression trees (MART) algorithm, and ordinary least squaress (OLS) regression. In conclusion, use of MART or SVR in the BS pricing model reduced both RMSE and MAE, compared to the OLS-based BS pricing model.

Valuation on the Photovoltaic Core Material Technology Using Black-Scholes Model: a Company's Case Study (블랙숄즈모형을 적용한 태양광 핵심소재 기술가치평가: 기업사례를 중심으로)

  • Lee, Dong-Su;Jeong, Ki-Ho
    • Journal of Korea Technology Innovation Society
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    • v.14 no.3
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    • pp.578-598
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    • 2011
  • This study estimates the value of photovoltaic core material technology, which is getting attention as a clean energy source. The estimation is based on the real option pricing model (ROPM). This study has two main contributions. The first is in the methodology. The process of modeling volatility, which is the most complicated stage in ROPM, is greatly simplified by using the stock price as a covariate representing the volatility of the real option's basic asset. The second contribution is the application of technology. In this study, the economic value of poly-silicon, a core material in the photovoltaic industry and recently surging in demand, is evaluated as a manufacturing technology. In a case study of a company in the photovoltaic industry, the stochastic process of a basic asset follows geometric Brownian motion (GBM), and the option value of firm A's poly-silicon manufacturing technology is estimated at 3.4 trillion won.

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Economic Evaluation of Port Hinterlands Using Real Option -Focusing on the Case Study for Hinterland of Busan New Port- (실물옵션을 이용한 항만배후단지의 가치평가 -부산신항 배후단지 사례분석을 중심으로-)

  • Kim, MyoungHee;Lee, Kihwan
    • Journal of Korea Port Economic Association
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    • v.28 no.3
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    • pp.235-257
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    • 2012
  • Recently the role of ports has been changed to satisfy flexibly needs of demands in global economy. A new concept for ports is not just a place for international trade but an important nodal point in logistics chain. The changing environment like this trend creates a high degree of uncertainty and leaves port managers confused with the question how to respond effectively to dynamic market. The latest studies provide that the port must have a good hinterland to achieve competitive advantages in a logistics chain. Korean Government announced "The Master Development Plan for Port Logistics Parks in Korea" in 2006. This contains the plan of hinterland construction of Busan New Port to achieve the status of logistics hub in Asian market. Previous studies rely solely on traditional DCF(discounted cash flow) analysis for investment of hinterland. However DCF method does not include irreversibility, uncertainty and the choice of timing for investment project. This thesis introduces a ROPM(real options pricing model) which overcomes the limitations of traditional valuation methods. The option valuations in this study utilize the Black-Scholes model, the binomial model and the MonteCarlo simulation to value investment opportunity of a port hinterland. In this thesis, an attempt is made to modify the NPV criterion by incorporating the real options approach, and its application is demonstrated in a hinterland construction investment plan. This research has conducted an empirical analysis by calculating economic value of the investment for a hinterland of Busan New Port.

Analyzing on the Fluctuation Characteristics of Management Condition of Construction Company (건설업체 경영상태 변동에 대한 특성 분석)

  • Jang, Ho-Myun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.2
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    • pp.1118-1125
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    • 2014
  • The past IMF foreign exchange crisis and subprime financial crisis had a big influence on variability of macroeconomics, even if the origin of its occurrence might be different. This not only had a significant infrequence on the overall industries, but also produced many insolvent companies by being closely linked with a management environment of an individual construction company leading the construction industry. The purpose of this research is to investigate characteristics of management condition of construction company according to the size of construction company using KMV model developed on the basis of the Black & Scholes option pricing theory. This research has set 28 construction companies listed to KOSPI/KOSDAQ for applying the KMV model and measuring the level of the default risk of construction companies. The data was retrieved from TS2000 established by Korea Listed Companies Association (KLCA), Statistics Korea. The analysis period is between first quarter of 2004 and fourth quarter of 2010. This research examine characteristics of the level and fluctuation process of the management condition of construction company according to the size of construction company.