• Title/Summary/Keyword: Stochastic volatility

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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
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    • v.35 no.4
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    • pp.31-61
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    • 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.

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Effectiveness of Monetary Policy in Korea Due to Time Varying Monetary Policy Stance (거시경제 및 통화정책 기조 변화가 통화정책의 유효성에 미친 영향 분석)

  • Kim, Tae Bong
    • KDI Journal of Economic Policy
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    • v.36 no.3
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    • pp.1-23
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    • 2014
  • This paper has studied the monetary policy in Korea with a time varying VAR model using four key macroeconomic variables. First, inclusion of the exchange rate was a crucial factor in evaluating Korean monetary policy since the monetary policy demonstrated sensitivity to exchange rate movements during the crisis periods of both the Asian financial crisis of 1997 and the global financial crisis of 2008. Second, a specification of the stochastic volatilities in TVP-VAR model is important in explaining excessive movements of all variables in the sample. The overall moderation of variables in 2000s was more or less due to a reduction of the stochastic volatilities but also somewhat due to the macroeconomic fundamental structures captured by impulse response functons. Third, the degree of the monetary policy effectiveness of inflation was mitigated in recent periods but with increased persistence. Lastly, the monetary policy stance towards inflation stabilization has advanced ever since the inflation targeting scheme was adopted. However, there still seems to be a room for improvement in this aspect since the degree of the monetary policy stance towards inflation stabilization was relatively weaker than to output stabilization.

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The extension of a continuous beliefs system and analyzing herd behavior in stock markets (연속신념시스템의 확장모형을 이용한 주식시장의 군집행동 분석)

  • Park, Beum-Jo
    • Economic Analysis
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    • v.17 no.2
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    • pp.27-55
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    • 2011
  • Although many theoretical studies have tried to explain the volatility in financial markets using models of herd behavior, there have been few empirical studies on dynamic herding due to the technical difficulty of detecting herd behavior with time-series data. Thus, this paper theoretically extends a continuous beliefs system belonging to an agent based economic model by introducing a term representing agents'mutual dependence into each agent's utility function and derives a SV(stochastic volatility)-type econometric model. From this model the time-varying herding parameters are efficiently estimated by a Markov chain Monte Carlo method. Using monthly data of KOSPI and DOW, this paper provides some empirical evidences for stronger herding in the Korean stock market than in the U.S. stock market, and further stronger herding after the global financial crisis than before it. More interesting finding is that time-varying herd behavior has weak autocorrelation and the global financial crisis may increase its volatility significantly.

Estimation of Crude Oil Price Dynamics and Option Valuation (원유가격의 동태성 추정과 옵션가치 산정)

  • Yun, Won-Cheol;Park, Hojeong
    • Environmental and Resource Economics Review
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    • v.14 no.4
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    • pp.943-964
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    • 2005
  • This study estimated a wide range of stochastic process models using the frameworks of CKLS (1992) and Nowman and Wang (2001). For empirical analysis, the GMM estimation procedure is adopted for the monthly Brent crude oil prices from January 1996 to January 2005. Using the simulated price series, European call option premiums were calculated and compared each other. The empirical results suggest that the crude oil price has a strong dependency of volatility on the price level. Contrary to the results of previous related studies, it shows a weak tendency of mean reversion. In addition, the models provide different implications for pricing derivatives on crude oil.

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Sample Average Approximation Method for Task Assignment with Uncertainty (불확실성을 갖는 작업 할당 문제를 위한 표본 평균 근사법)

  • Gwang, Kim
    • Journal of Korea Society of Industrial Information Systems
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    • v.28 no.1
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    • pp.27-34
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    • 2023
  • The optimal assignment problem between agents and tasks is known as one of the representative problems of combinatorial optimization and an NP-hard problem. This paper covers multi agent-multi task assignment problems with uncertain completion probability. The completion probabilities are generally uncertain due to endogenous (agent or task) or exogenous factors in the system. Assignment decisions without considering uncertainty can be ineffective in a real situation that has volatility. To consider uncertain completion probability mathematically, a mathematical formulation with stochastic programming is illustrated. We also present an algorithm by using the sample average approximation method to solve the problem efficiently. The algorithm can obtain an assignment decision and the upper and lower bounds of the assignment problem. Through numerical experiments, we present the optimality gap and the variance of the gap to confirm the performances of the results. This shows the excellence and robustness of the assignment decisions obtained by the algorithm in the problem with uncertainty.

Investment Strategies for KOSPI200 Index Futures Using VKOSPI and Control Chart (변동성지수와 관리도를 이용한 KOSPI200 지수선물 투자전략)

  • Ryu, Jaepil;Shin, Hyun Joon
    • Journal of Korean Institute of Industrial Engineers
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    • v.38 no.4
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    • pp.237-243
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    • 2012
  • This paper proposes quantitative investment strategies for KOSPI200 index futures using VKOSPI and control chart. Stochastic control chart is employed to decide when to take a position as well as what position out of long and short should be taken by monitoring whether VKOSPI or difference of VKOSPI touches the control limit lines. The strategies include 4 approaches, which are traditional control chart and 2-Area control chart coupled with VKOSPI and its difference, respectively. Computational experiments using real KOSPI200 futures index for recent 3 years are conducted to show the excellence of the proposed investment strategies under control chart framework.

An Empirical Study on the Profit Margin Adequacy of Korean General Insurance (국내 일반보험 예정이익률 적정성에 관한 실증연구)

  • Park, Geunyong;Kim, So-Yeun
    • The Journal of the Korea Contents Association
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    • v.21 no.6
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    • pp.588-597
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    • 2021
  • In Korea, the standard for calculating the profit of a general insurance, which constitutes the loading in the premium, is not specified, and most of the non-life insurance companies reflect 2~5% of the premium as profit margin. Although the transparency of pricing is required due to the nature of insurance products, there are insufficient standards and empirical studies on the determination of insurance price factors in the domestic insurance industry. In this study, we propose a method of calculating the expected profit margin of general insurance. A way for calculating the expected profit margin of the general insurance is to reflect the shareholder demand on the capital that the insurance company should secure against the risk of loss due to the profit/loss volatility, as a ratio to the insurance premium. Shareholders should be compensated for the risks associated with their insurance operations, and the opportunity cost of these shareholders is to be reflected in premiums. In this study, we calculate the amount of capital that the company should accumulate to prepare insurance risk for each product, and insurance risk is defined as the volatility of insurance operating profit/loss. And insurance risk is calculated using stochastic simulation based on Dynamic Financial Analysis (DFA) methodology. Finally, we calculate the expected profit margins for 25 products and analyzed the difference between those and the profit ratio of domestic general insurance.

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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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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Dynamic Hedging Performance and Test of Options Model Specification (시뮬레이션을 이용한 동태적 헤지성과와 옵션모형의 적격성 평가)

  • Jung, Do-Sub;Lee, Sang-Whi
    • The Korean Journal of Financial Management
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    • v.26 no.3
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    • pp.227-246
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    • 2009
  • This study examines the dynamic hedging performances of the Black-Scholes model and Heston model when stock prices drift with stochastic volatilities. Using Monte Carlo simulations, stock prices consistent with Heston's(1993) stochastic volatility option pricing model are generated. In this circumstance, option traders are assumed to use the Black- Scholes model and Heston model to implement dynamic hedging strategies for the options written. The results of simulation indicate that the hedging performance of a mis-specified Black-Scholes model is almost as good as that of a fully specified Heston model. The implication of these results is that the efficacy of the dynamic hedging performances on evaluating the specifications of alternative option models can be limited.

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