• Title/Summary/Keyword: Black-Scholes model

Search Result 72, Processing Time 0.025 seconds

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
    • /
    • v.14 no.3
    • /
    • pp.578-598
    • /
    • 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.

  • PDF

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
    • /
    • v.25 no.3
    • /
    • pp.513-522
    • /
    • 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.

Generation of Corporate risk Contents using Financial Data (국제경쟁력 강화를 위한 중소규모기업 부실예측 콘텐츠)

  • Kim, Young-Sook
    • Proceedings of the Korea Contents Association Conference
    • /
    • 2007.11a
    • /
    • pp.951-953
    • /
    • 2007
  • Generation of Corporate risk Contents using Financial Data The purpose of this paper is to capture risk profiles of smaller-sized Korean firms vis-$\grave{a}$-vis larger-sized firms during the Asian financial crisis. For this purpose, risk profiles are provided by estimating expected default risks and by tracking how these have changed during this period with respect to their magnitude, volatility, and sensitivity measures. Methodology used in this study employs the Black-Scholes-Merton model for producing estimates of default risks. And the conventional trans-log function is utilized for obtaining sensitivity measures of the estimated default risks. According to empirical evidence obtained here, it is revealed that contractions of corporate loans associated with IMF austerity policy was the main factor responsible for the drastic change in the default risk profile of Korean firms after occurrence of the Asian financial crisis.

  • PDF

Generation of Corporate Risk Contents of Small Firms and Large Firms Using Financial Data for Enhancing International Competitiveness (국제경쟁력 강화를 위한 중소규모기업과 대기업간 부실예측 콘텐츠)

  • Kim, Young-Sook
    • The Journal of the Korea Contents Association
    • /
    • v.7 no.12
    • /
    • pp.123-130
    • /
    • 2007
  • The purpose of this paper is to capture risk profiles of smaller-sized Korean firms $vis-{\grave{a}}-vis$ larger-sized firms during the Asian financial crisis. For this purpose, risk profiles are provided by estimating expected default risks and by tracking how these have changed during this period with respect to their magnitude, volatility, and sensitivity measures. Methodology used in this study employs the Black-Scholes-Merton model for producing estimates of default risks. And the conventional trans-log function is utilized for obtaining sensitivity measures of the estimated default risks. According to empirical evidence obtained here, it is revealed that contractions of corporate loans associated with IMF austerity policy was the main factor responsible for the drastic change in the default risk profile of Korean firms after occurrence of the Asian financial crisis.

Comparison of methods of approximating option prices with Variance gamma processes (Variance gamma 확률과정에서 근사적 옵션가격 결정방법의 비교)

  • Lee, Jaejoong;Song, Seongjoo
    • The Korean Journal of Applied Statistics
    • /
    • v.29 no.1
    • /
    • pp.181-192
    • /
    • 2016
  • We consider several methods to approximate option prices with correction terms to the Black-Scholes option price. These methods are able to compute option prices from various risk-neutral distributions using relatively small data and simple computation. In this paper, we compare the performance of Edgeworth expansion, A-type and C-type Gram-Charlier expansions, a method of using Normal inverse gaussian distribution, and an asymptotic method of using nonlinear regression through simulation experiments and real KOSPI200 option data. We assume the variance gamma model in the simulation experiment, which has a closed-form solution for the option price among the pure jump $L{\acute{e}}vy$ processes. As a result, we found that methods to approximate an option price directly from the approximate price formula are better than methods to approximate option prices through the approximate risk-neutral density function. The method to approximate option prices by nonlinear regression showed relatively better performance among those compared.

An Analysis on the Optimal Level of Primary CER Price Regard as Economic Feasibility (경제성을 고려한 CER 적정 발행가격 분석)

  • Lim, Sung Soo;Yang, Seung Ryong
    • Environmental and Resource Economics Review
    • /
    • v.19 no.4
    • /
    • pp.829-852
    • /
    • 2010
  • The investment in Clean Development Mechanism (CDM) projects is increasing rapidly as the first implementation period began in 2008. This paper examines on the optimal level of primary Certified Emission Reduction (CER) price, subsidiary original projects investment cost and expected issues CER per year, using UNFCCC CDM Project Design Document (PDD) data. Real option model is developed to incorporate a case where the investment is irreversible and underlying asset price is uncertainty. This study employs Real option approach which allow the optimal level regard as economic feasibility of CER price has analyzed with NPV (Net Present Value) and Black-Scholes call option(Real option) value. Finally, CER supply curve and price elasticity of supply are estimated.

  • PDF

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
    • /
    • v.28 no.3
    • /
    • pp.235-257
    • /
    • 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
    • /
    • v.15 no.2
    • /
    • pp.1118-1125
    • /
    • 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.

Verification of Market's Efficiency and CAPM using Capitalization Rate at Commercial Real Estate Market in Seoul (서울의 상업용 부동산 시장에서 자본환원율을 이용한 시장 효율성과 CAPM의 검증)

  • Park, Jongkwon;Lee, Jaesu;Jun, Jaebum
    • Korean Journal of Construction Engineering and Management
    • /
    • v.18 no.1
    • /
    • pp.90-99
    • /
    • 2017
  • This paper is to understand the impact of systematic risk on capitalization rate at office building market and retail real estate market in Seoul and to see if CAPM(Capital Asset Pricing Model) is applicable. For this, this paper considers eight different office building and retail real estate markets in Seoul city area, called GBD, YBD, CBD, and Other Business District, and GBD, SBD, CBD, and Other Business District, to find out if there is any positive-linearity between systematic risk and capitalization rate for each business district not. Then, this paper tries to verify applicability of CAPM to four office building markets and four retail real estate markets with Black, Jensen, and Scholes(1972)'s statistical methodology. At last, the result shows that there is positive linearity between systematic risk and capitalization rate only GBD except Others(YBD, CBD, and other business district) in office building market. In addtion, SBD and CBD, they could be figured out that it is not efficient market because increasing systematic risk declines capitalization rate in retail real estate market. However, CAPM is not applicable in all office building(GBD, YBD, CBD, and other business district) and retail real estate markets(GBD, SBD, CBD, and other business district) in Seoul.

A Study On The Economic Value Of Firm's Big Data Technologies Introduction Using Real Option Approach - Based On YUYU Pharmaceuticals Case - (실물옵션 기법을 이용한 기업의 빅데이터 기술 도입의 경제적 가치 분석 - 유유제약 사례를 중심으로 -)

  • Jang, Hyuk Soo;Lee, Bong Gyou
    • Journal of Internet Computing and Services
    • /
    • v.15 no.6
    • /
    • pp.15-26
    • /
    • 2014
  • This study focus on a economic value of the Big Data technologies by real options model using big data technology company's stock price to determine the price of the economic value of incremental assessed value. For estimating stochastic process of company's stock price by big data technology to extract the incremental shares, Generalized Moments Method (GMM) are used. Option value for Black-Scholes partial differential equation was derived, in which finite difference numerical methods to obtain the Big Data technology was introduced to estimate the economic value. As a result, a option value of big data technology investment is 38.5 billion under assumption which investment cost is 50 million won and time value is a about 1 million, respectively. Thus, introduction of big data technology to create a substantial effect on corporate profits, is valuable and there are an effects on the additional time value. Sensitivity analysis of lower underlying asset value appear decreased options value and the lower investment cost showed increased options value. A volatility are not sensitive on the option value due to the big data technological characteristics which are low stock volatility and introduction periods.