• Title/Summary/Keyword: Black-Sholes model

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A Case Study of Feasibility Analysis Based On Black-Sholes Model for Ubiquitous Computing Technology Development (블랙-숄즈 모형을 활용한 유비쿼터스 기술 개발 타당성 분석 사례 연구)

  • Kwon, Oh-Byung;Kim, Ji-Hoon
    • The Journal of Society for e-Business Studies
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    • v.13 no.4
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    • pp.49-69
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    • 2008
  • Recently, ubiquitous computing technology becomes available to develop advanced electronic commerce:u-commerce. Hence, it is the very time to perform feasibility analysis in applying ubiquitous computing technology, especially estimating economical value of the on-going technology. Hence, the purpose of this paper is to propose a financial value estimating methodology in performing feasibility test on ubiquitous computing technology. To do so, Black and Scholes model is basically adopted. To show the feasibility if the idea proposed in this paper, actual case study through focused group interview with those who are actually performing on-going ubiquitous computing projects. As the result, we validated the possibility of applying Black-Sholes model to assessing feasibility analysis for ubiquitous technology development with the price of call option, volatility, and the comparison with other similar technologies.

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Performance comparison between Black-Sholes equation and various Neural Network techniques for option pricing (옵션가격결정모형에 대한 블랙숄즈모형과 다양한 신경망 기법의 성능 비교)

  • Lee, Hyo-Seok;Lee, Hyeok-Sun;Choe, Hyeong-Jun;Lee, Jae-Uk
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.05a
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    • pp.738-741
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    • 2004
  • 최근 다양한 금융 데이터를 신경망 이론을 비롯한 최적화 기법을 통해 모델링 하려는 시도가 증가하고 있다. 이러한 시도는 블랙숄즈 모델이 가지고 있는 몇 가지 비현실적인 가정들을 극복할 수 있다는 점에서 성공적이다. 그러나 각각의 최적화 기법의 고유한 특성을 고려하지 못한 채 적용하여 성능면에서 큰 향상을 보이지 못하고 있다. 따라서 이론과 기법의 적용에 있어 금융데이터의 특성에 맞는 명확한 절차의 정의가 필요하다. 본 논문에서는 옵션의 가격결정에 적용 가능한 신경망 기법들을 제시하고 절차를 정의, 분석하고 그 성능을 블랙-숄즈 방정식과 비교한다. 비교 분석 결과는 블랙-숄즈 방정식에 의한 가격 오차와 최적화 기법을 통한 가격오차가 통계적으로 유의한 차이가 있는지 여부를 분석함으로써 유의성을 검증하였다.

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VALUATION FUNCTIONALS AND STATIC NO ARBITRAGE OPTION PRICING FORMULAS

  • Jeon, In-Tae;Park, Cheol-Ung
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.14 no.4
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    • pp.249-273
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    • 2010
  • Often in practice, the implied volatility of an option is calculated to find the option price tomorrow or the prices of, nearby' options. To show that one does not need to adhere to the Black- Scholes formula in this scheme, Figlewski has provided a new pricing formula and has shown that his, alternating passive model' performs as well as the Black-Scholes formula [8]. The Figlewski model was modified by Henderson et al. so that the formula would have no static arbitrage [10]. In this paper, we show how to construct a huge class of such static no arbitrage pricing functions, making use of distortions, coherent risk measures and the pricing theory in incomplete markets by Carr et al. [4]. Through this construction, we provide a more elaborate static no arbitrage pricing formula than Black-Sholes in the above scheme. Moreover, using our pricing formula, we find a volatility curve which fits with striking accuracy the synthetic data used by Henderson et al. [10].

Dynamic Valuation of the G7-HSR350X Using Real Option Model (실물옵션을 활용한 G7 한국형고속전철의 다이나믹 가치평가)

  • Kim, Sung-Min;Kwon, Yong-Jang
    • Journal of the Korean Society for Railway
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    • v.10 no.2 s.39
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    • pp.137-145
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    • 2007
  • In traditional financial theory, the discount cash flow model(DCF or NPV) operates as the basic framework for most analyses. In doing valuation analysis, the conventional view is that the net present value(NPV) of a project is the measure of the present value of expected net cash flows. Thus, investing in a positive(negative) NPV project will increase(decrease) firm value. Recently, this framework has come under some fire for failing to consider the options of the managerial flexibilities. Real option valuation(ROV) considers the managerial flexibility to make ongoing decisions regarding the implementation of investment projects and the deployment of real assets. The appeal of the framework is natural given the high degree of uncertainty that firms face in their technology investment decisions. This paper suggests an algorithm for estimating volatility of logarithmic cash flow returns of real assets based on the Black-Sholes option pricing model, the binomial option pricing model, and the Monte Carlo simulation. This paper uses those models to obtain point estimates of real option value with the G7- HSR350X(high-speed train).

A Study of Option Pricing Using Variance Gamma Process (Variance Gamma 과정을 이용한 옵션 가격의 결정 연구)

  • Lee, Hyun-Eui;Song, Seong-Joo
    • The Korean Journal of Applied Statistics
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    • v.25 no.1
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    • pp.55-66
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    • 2012
  • Option pricing models using L$\acute{e}$evy processes are suggested as an alternative to the Black-Scholes model since empirical studies showed that the Black-Sholes model could not reflect the movement of underlying assets. In this paper, we investigate whether the Variance Gamma model can reflect the movement of underlying assets in the Korean stock market better than the Black-Scholes model. For this purpose, we estimate parameters and perform likelihood ratio tests using KOSPI 200 data based on the density for the log return and the option pricing formula proposed in Madan et al. (1998). We also calculate some statistics to compare the models and examine if the volatility smile is corrected through regression analysis. The results show that the option price estimated under the Variance Gamma process is closer to the market price than the Black-Scholes price; however, the Variance Gamma model still cannot solve the volatility smile phenomenon.

A study of parameter estimation of stochastic volatility model

  • Tsukui, Makiko;Furuta, Katsuhisa
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1858-1863
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    • 1991
  • The theory of stock option pricing has, recently, attracted attention of many researchers interested not only in finance but also in statistics and control theory. In this field, the problem of estimating stock return volatility is, above all, of great importance in calculating actual stock option value. In this paper, we assume that the stock market is represented by the stochastic volatility model which is the same as that of Hull and White. Then, we propose an approximation function of option value. It is a type of Black-Sholes option formula in which the first and the second order moments of logarithmic stock value are modified in a special form from the original model. Finally, an algorithm of estimating the parameters of the stochastic volatility model is given, and parameters are estimated by using Nikkei 225 index option data.

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A Comparative Study of the Accounting Standards for Stock Option of Japan and Korea (일본과 한국의 스톡옵션 회계기준에 관한 비교연구)

  • Choi, Jong-Yoon;Lee, Sang-Hwa
    • Korean Business Review
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    • v.22 no.1
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    • pp.27-44
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    • 2009
  • This paper compares the accounting standards for stock option of Japan and Korea. Especially, tire setting process of accounting standards for stock option, accounting methods and disclosures for stock option in two countries are analyzed. The results provide that two countries shaw different characteristics in accounting standards for stock option. First, in Japan, acquired services are reported as compensation costs and capital adjustments. On the other hand, in Korea, in case of cash-settled share- based payment transactions, acquired services are reported as compensation costs and capital adjustments, but in case of equity-settled share- based payment transactions, acquired services are reported as compensation costs and debt. Second, when tire stock option rights are abandoned, they are reported as extraordinary items in Japan and are reported as other surplus in Korea. Third, though both countries do not choose specific stock option pricing model, Japan prefers Black-Sholes Model and Korea regards binomial model as proper model.

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An Empirical Study on Variables Affecting Warrant Pricing of Japan (Warrant 가격 결정변수에 관한 실증연구)

  • Dong-Hwan Kim
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.1 no.2
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    • pp.85-92
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    • 2000
  • Warrants are often described as call potions written tv firms on their own stock. However, a call option is a pure side bet; i.e., none of the cash flows associated with the call's sale or exercise involves the firm. Issuing warrants on the other hand, can affect the firm's aggregate level of investment, composition of its capital structure. and the price of the stock on which warrant can be exercised. The problem of the warrant pricing can be solved by using of multivariate data analysis techniques, such as regression analysis or discriminant analysis, instead of OPM. The value of this approach is that we can evlauate the relative importance of each independent variable which affect a price of a warrant. This study empirically examines the Japanese warrant pricing by multiple regression analysis using a sample or 300 observations traded on Tokyo Stock Exchange during the periods between 1995 and 1996.

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