• Title/Summary/Keyword: Brownian motion

Search Result 226, Processing Time 0.021 seconds

A Real Options Analysis on Fuel Cell Power Plant considering Mean Reverting Process of Electricity Price (전력가격 평균회귀성을 고려한 연료전지 발전의 실물옵션 분석)

  • Park, Hojeong;Nam, Youngsik
    • Environmental and Resource Economics Review
    • /
    • v.27 no.4
    • /
    • pp.613-637
    • /
    • 2018
  • Fuel cell power plant which has advantages as a distributed generation is influenced by high cost of investment and uncertainty of electricity price. This study suggests the model of real options which considers the irreversibility of investment in the fuel cell plant and the uncertainty of electricity price. Most models of real options assume the geometric Brownian motion for convenience, but this study develops the model for the feasibility analysis considering the mean reverting process of electricity price, with the closed form solution on the value of investment option. The result of the empirical analysis considering the data related to the fuel cell generation with the scale of 20MW and the domestic RPS circumstance represents that the investment is feasible without the uncertainty, and is not feasible with the uncertainty. This result implies that the political support as well as the improvement of profit system including revenue and cost are necessary for the activation of the fuel cell power plant.

A Study on the Analysis of Optimal Asset Allocation and Welfare Improvemant Factors through ESG Investment (ESG투자를 통한 최적자산배분과 후생개선 요인분석에 관한 연구)

  • Hyun, Sangkyun;Lee, Jeongseok;Rhee, Joon-Hee
    • Journal of Korean Society for Quality Management
    • /
    • v.51 no.2
    • /
    • pp.171-184
    • /
    • 2023
  • Purpose: First, this paper suggests an alternative approach to find optimal portfolio (stocks, bonds and ESG stocks) under the maximizing utility of investors. Second, we include ESG stocks in our optimal portfolio, and compare improvement of welfares in the case with and without ESG stocks in portfolio. Methods: Our main method of analysis follows Brennan et al(2002), designed under the continuous time framework. We assume that the dynamics of stock price follow the Geometric Brownian Motion (GBM) while the short rate have the Vasicek model. For the utility function of investors, we use the Power Utility Function, which commonly used in financial studies. The optimal portfolio and welfares are derived in the partial equilibrium. The parameters are estimated by using Kalman filter and ordinary least square method. Results: During the overall analysis period, the portfolio including ESG, did not show clear welfare improvement. In 2017, it has slightly exceeded this benchmark 1, showing the possibility of improvement, but the ESG stocks we selected have not strongly shown statistically significant welfare improvement results. This paper showed that the factors affecting optimal asset allocation and welfare improvement were different each other. We also found that the proportion of optimal asset allocation was affected by factors such as asset return, volatility, and inverse correlation between stocks and bonds, similar to traditional financial theory. Conclusion: The portfolio with ESG investment did not show significant results in welfare improvement is due to that 1) the KRX ESG Leaders 150 selected in our study is an index based on ESG integrated scores, which are designed to affect stability rather than profitability. And 2) Korea has a short history of ESG investment. During the limited analysis period, the performance of stock-related assets was inferior to bond assets at the time of the interest rate drop.

Multifractal Stochastic Processes and Stock Prices (다중프랙탈 확률과정과 주가형성)

  • Rhee, Il-King
    • The Korean Journal of Financial Management
    • /
    • v.20 no.2
    • /
    • pp.95-126
    • /
    • 2003
  • This paper introduces multifractal processes and presents the empirical investigation of the multifractal asset pricing. The multifractal stock price process contains long-tails which focus on Levy-Stable distributions. The process also contains long-dependence, which is the characteristic feature of fractional Brownian motion. Multifractality introduces a new source of heterogeneity through time-varying local reqularity in the price path. This paper investigates multifractality in stock prices. After finding evidence of multifractal scaling, the multifractal spectrum is estimated via the Legendre transform. The distinguishing feature of the multifractal process is multiscaling of the return distribution's moments under time-resealing. More intensive study is required of estimation techniques and inference procedures.

  • PDF

Valuing the Risks Created by Road Transport Demand Forecasting in PPP Projects (민간투자 도로사업의 교통수요 예측위험의 경제적 가치)

  • Kim, Kangsoo;Cho, Sungbin;Yang, Inseok
    • KDI Journal of Economic Policy
    • /
    • v.35 no.4
    • /
    • pp.31-61
    • /
    • 2013
  • The purpose of this study is to calculate the economic value of transport demand forecasting risks in the road PPP project. Under the assumption that volatility of the road PPP project value occurs only in regard with uncertainty of traffic volume forecasting, this study calculates the economic value of the traffic forecasting risks in the case of the road PPP project. To that end, forecasted traffic volume is assumed to be a stochastic variable and to follow the Geometric Brownian motion as time passes. In particular, this study attempts to differentiate itself from existing studies that simply use an arbitrary assumption by presenting the application of different traffic volume growth volatility and the rates before and after the ramp-up period. Analysis of the case projects reveals that the risk premium related to traffic volume forecast of the project turns out as 7.39~8.30%, without considering option value-such as minimum revenue guarantee-while the project value volatility caused by transport demand forecasting risks is 17.11%. As the discount rate grows higher, the project value volatility tends to decrease and volatility in project value is always suggested to be larger than that in transport volume influenced by leverage effect due to fixed expenditure. The market value of transport demand forecasting risk-calculated using the project value volatility and risk premium-is analyzed to be between 0.42~0.50, implying that a 1% increase or decrease in the transport amount volatility would lead to a 0.42~0.50% increase or decrease in risk premium of the project.

  • PDF

Modelling of Pollen Dispersal of Maize (Zea mays L.) Using Gamma Model (감마모델을 이용한 옥수수의 화분비산 모델링)

  • Lee, Yong-Ho;Kwon, Young-Sun;Wang, Hong Wei;Lee, Su-Jeong;Alamgir, Kabir Md.;Karuppanapandian, Thirupathi;Hong, Sun-Hee;Lee, Dong-Jin;Baek, Hyung-Jin;Jang, Young-Seok;Kim, Wook
    • KOREAN JOURNAL OF CROP SCIENCE
    • /
    • v.55 no.4
    • /
    • pp.365-370
    • /
    • 2010
  • The pollen dispersal by wind can make an important to understanding the viability and evolution of plants in ecological and agricultural science. Modelling can be applied to evaluate concerns about the spread of engineered pollens from genetically modified (GM) crops. Here, we are using gamma model to estimate the level of dispersal distance of pollen in the cross-pollination between two different maize (Zea mays L.) cultivars in GMO field of Korea University during the year 2010. The result of estimation of model indicates maximum pollen dispersal distance of estimated proportion of cross-pollination of maize was reached to 0.1% in 525 meter northwest due to the wind. We identify further measurements necessary to improve the accuracy of the model predictions.

A Study on the Fine Dust Removal Equipment of Pressurized Water type for the Removal of Exhaust Gas Fine Dust and Volatile Organic Compounds from the Non-industrial combustion plant (비산업 연소 사업장 배출 가스상 미세먼지와 휘발성 유기 화합물 제거를 위한 가압수식 미세먼지 제거 장치 연구)

  • Youn, Jae-Seo;Kim, Sang-Min;Lee, Ye-Ji;Noh, Seong-Yeo
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.19 no.11
    • /
    • pp.506-512
    • /
    • 2018
  • The fine dust generated in the home and restaurant business occupies a low ratio of about 4% of the total fine dust emissions. However, at the foodservice business, the rate of change of the pollutant concentration is very high, so that the temporary fine dust concentration can be measured up to 60 times. The pollutants generated from non-industrial combustion plants consist of particulate fine dust and gaseous organic compounds. To remove these pollutants, cleaning dust collection system, which is an effective system for simultaneous removal of gaseous and particulate matter, is applied. This is a method of increasing the probability of diffusion capture of the Brownian motion by pressurized liquid injection method using the atomizing nozzle. The dust removal efficiency of the fine dust collecting system was analyzed by nozzle spraying air pressure condition and angle using the manufactured fine dust removing system. As a result, it was confirmed that the efficiency of removal of fine dust and gaseous organic compounds was more than 90%. The developed system is expected to be highly usable in the future because it can remove particulate dust from the existing plant hood system without any installation cost.