• 제목/요약/키워드: Stochastic volatility

검색결과 68건 처리시간 0.02초

몬테카를로 시뮬레이션을 활용한 한·중 통상 결제통화로서 위안화 활용 영향력 평가 : 위안화 활용비율의 옵션화로 인한 헷지효과 (Assessing the Chinese Yuan as Invoicing Currency Using Monte-Carlo Simulation : RMB's Quasi-Option Hedging Effect)

  • 서민교;민유주아나;양오석
    • 무역학회지
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    • 제41권5호
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    • pp.113-138
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    • 2016
  • 본 연구는 결제통화로서의 위안화 연구의 한계를 극복하기 위하여 한중 통상과정에서 위안화를 결제통화로 확대할 경우 발생할 수 있는 영향력을 몬테카를로 시뮬레이션을 통해 분석하였다. 일차적으로는 현시 환율과 동일한 확률분포로 위안화 환율이 발현되었을 경우 위안화의 사용비율이 한화전환 결제통화수지에 미치는 영향력을 분석하였다. 이와 더불어 위안화 환율이 현시 환율변동성 이상의 비정상성 행보를 보였을 경우의 영향력을 분석하였다. 본 연구로 발견된 주요 결과는 다음과 같다. 첫째, 위안화 활용비율과 무관하게 현시 환율과 동일한 확률분포로 위안화 환율이 발현될 경우, 달러화나 위안화의 환율과 환율변동성의 확대는 한화전환 결제통화수지를 상승시키는 기제로 작용한다. 둘째, 달러화의 환율변동성은 평균적으로는 한화전환 결제통화수지에 미치는 영향력은 긍정적이지만 양극화를 가중시키고, 위안화도 유사한 성향을 보이지만 달러화에 비하여 중도적이다. 셋째, 현시 변동성보다 위안화 환율변동성이 확대된 경우 결제통화로서의 위안화는 한화전환 결제통화수지 규모를 하락시키므로 위안화의 환율 불확실성의 확대여부를 주목해야 한다. 특히 위안화 환율변동성은 한계효과를 보이고 있어 2배수 내에서 변동성의 부정적 효과가 극대화 된다. 마지막으로 위안화 환율변동성과 사용비율이 미치는 영향력은 강세스프레드와 유사한 경향을 보여 기업이 영업이익 극대화를 위한 전략적 도구로 사용될 수 있다.

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TWO APPROACHES FOR STOCHASTIC INTEREST RATE OPTION MODEL

  • Hyun, Jung-Soon;Kim, Young-Hee
    • 대한수학회지
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    • 제43권4호
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    • pp.845-858
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    • 2006
  • We present two approaches of the stochastic interest rate European option pricing model. One is a bond numeraire approach which is applicable to a nonzero value asset. In this approach, we assume log-normality of returns of the asset normalized by a bond whose maturity is the same as the expiration date of an option instead that of an asset itself. Another one is the expectation hypothesis approach for value zero asset which has futures-style margining. Bond numeraire approach allows us to calculate volatilities implied in options even though stochastic interest rate is considered.

PRICING OF TIMER DIGITAL POWER OPTIONS BASED ON STOCHSTIC VOLATILITY

  • Mijin Ha;Sangmin Park;Donghyun Kim;Ji-Hun Yoon
    • East Asian mathematical journal
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    • 제40권1호
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    • pp.63-74
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    • 2024
  • Timer options are financial instruments proposed by Société Générale Corporate and Investment Banking in 2007. Unlike vanilla options, where the expiry date is fixed, the expiry date of timer options is determined by the investor's choice, which is in linked to a variance budget. In this study, we derive a pricing formula for hybrid options that combine timer options, digital options, and power options, considering an environment where volatility of an underlying asset follows a fast-mean-reverting process. Additionally, we aim to validate the pricing accuracy of these analytical formulas by comparing them with the results obtained from Monte Carlo simulations. Finally, we conduct numerical studies on these options to analyze the impact of stochastic volatility on option's price with respect to various model parameters.

온도변동성을 고려한 전력수요예측 기반의 확률론적 수요관리량 추정 방법 (A Stochastic Pplanning Method for Semand-side Management Program based on Load Forecasting with the Volatility of Temperature)

  • 위영민
    • 전기학회논문지
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    • 제64권6호
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    • pp.852-856
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    • 2015
  • Demand side management (DSM) program has been frequently used for reducing the system peak load because it gives utilities and independent system operator (ISO) a convenient way to control and change amount of electric usage of end-use customer. Planning and operating methods are needed to efficiently manage a DSM program. This paper presents a planning method for DSM program. A planning method for DSM program should include an electric load forecasting, because this is the most important factor in determining how much to reduce electric load. In this paper, load forecasting with the temperature stochastic modeling and the sensitivity to temperature of the electric load is used for improving load forecasting accuracy. The proposed planning method can also estimate the required day, hour and total capacity of DSM program using Monte-Carlo simulation. The results of case studies are presented to show the effectiveness of the proposed planning method.

Stochastic Differential Equations for Modeling of High Maneuvering Target Tracking

  • Hajiramezanali, Mohammadehsan;Fouladi, Seyyed Hamed;Ritcey, James A.;Amindavar, Hamidreza
    • ETRI Journal
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    • 제35권5호
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    • pp.849-858
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    • 2013
  • In this paper, we propose a new adaptive single model to track a maneuvering target with abrupt accelerations. We utilize the stochastic differential equation to model acceleration of a maneuvering target with stochastic volatility (SV). We assume the generalized autoregressive conditional heteroscedasticity (GARCH) process as the model for the tracking procedure of the SV. In the proposed scheme, to track a high maneuvering target, we modify the Kalman filtering by introducing a new GARCH model for estimating SV. The proposed tracking algorithm operates in both the non-maneuvering and maneuvering modes, and, unlike the traditional decision-based model, the maneuver detection procedure is eliminated. Furthermore, we stress that the improved performance using the GARCH acceleration model is due to properties inherent in GARCH modeling itself that comply with maneuvering target trajectory. Moreover, the computational complexity of this model is more efficient than that of traditional methods. Finally, the effectiveness and capabilities of our proposed strategy are demonstrated and validated through Monte Carlo simulation studies.

The Effect of Heterogeneous Wage Contracts on Macroeconomic Volatility in a Financially Fragile Economy

  • Kim, Jongheuk
    • East Asian Economic Review
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    • 제21권2호
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    • pp.167-197
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    • 2017
  • I build a small open economy (SOE) dynamic stochastic general equilibrium (DSGE) model to investigate the effect of a heterogeneous wage contract between regular and temporary workers on a macroeconomic volatility in a financially fragile economy. The imperfect financial market condition is captured by a quadratic financial adjustment cost for borrowing foreign assets, and the labor market friction is captured by a Nash bargaining process which is only available to the regular workers when they negotiate their wages with the firms while the temporary workers are given their wage which simply equals the marginal cost. As a result of impulse responsesto a domestic productivity shock, the higher elasticity of substitution between two types of workers and the lower weight on the regular workers in the firm's production process induce the higher volatilities in most variables. This is reasoned that the higher substitutability creates more volatile wage determination process while the lower share of the regular workers weakens their Nash bargaining power in the contract process.

개별주식선물을 이용한 시스템트레이딩 헤징전략의 성과분석 (A Study on the Strategies of Hedging System Trading Using Single-Stock Futures)

  • 김선웅;최흥식;김남현
    • 경영과학
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    • 제31권1호
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    • pp.49-61
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    • 2014
  • We investigate the hedging effectiveness of incorporating single-stock futures into the corresponding stocks. Investing in only stocks frequently causes too much risk when market volatility suddenly rises. We found that single-stock futures help reduce the variance and risk levels of the corresponding stocks invested. We use daily prices of Korean stocks and their corresponding futures for the time period from December 2009 to August 2013 to test the hedging effect. We also use system trading technique that uses automatic trading program which also has several simulation functions. Moving average strategy, Stochastic's strategy, Larry William's %R strategy have been considered for hedging strategy of the futures. Hedging effectiveness of each strategy was analyzed by percent reduction in the variance between the hedged and the unhedged variance. The results clearly showed that examined hedging strategies reduce price volatility risk compared to unhedged portfolio.

확률베타모형의 베이지안 분석 (Bayesian Analysis of a Stochastic Beta Model in Korean Stock Markets)

  • 고봉찬;예승민
    • 재무관리연구
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    • 제22권2호
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    • pp.43-69
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    • 2005
  • 본 논문은 한국 주식시장에서 CAPM 베타의 시간에 따른 변동패턴을 설명하는데 있어서 베이지안 분석기법에 기반을 둔 확률베타모형(stochastic be model)이 기존의 조건부 베타모형이나 이변량 GARCH(1,1)모형보다 추정의 정확도나 베타의 설명력 측면에서 더 우월하다는 실증적 증거를 보여주었다. 확률베타모형으로 추정한 베타는 주식수익률의 횡단면 변동의 $30{\sim}50%$를 설명하는 반면, 다른 시변베타모형은 3% 이하의 설명력에 그쳤다. 이렇게 확률베타모형에서 추정된 베타의 높은 설명력은 흔히 시장이상현상으로 받아들여지고 있는 기업규모효과나 장부가/시가비율효과, 고유변동성효과들을 대부분 흡수하는 것으로 나타났다. 이것은 시장이상 현상들이 베타 참값의 변동과 밀접하게 관련되어 있으며, 기대수익률 변동과 깊은 관련이 있다는 합리적 자산가격결정의 입장을 지지하는 것으로 해석된다.

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Dynamic Economic Dispatch for Microgrid Based on the Chance-Constrained Programming

  • Huang, Daizheng;Xie, Lingling;Wu, Zhihui
    • Journal of Electrical Engineering and Technology
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    • 제12권3호
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    • pp.1064-1072
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    • 2017
  • The power of controlled generators in microgrids randomly fluctuate because of the stochastic volatility of the outputs of photovoltaic systems and wind turbines as well as the load demands. To address and dispatch these stochastic factors for daily operations, a dynamic economic dispatch model with the goal of minimizing the generation cost is established via chance-constrained programming. A Monte Carlo simulation combined with particle swarm optimization algorithm is employed to optimize the model. The simulation results show that both the objective function and constraint condition have been tightened and that the operation costs have increased. A higher stability of the system corresponds to the higher operation costs of controlled generators. These operation costs also increase along with the confidence levels for the objective function and constraints.

Continuous Time Approximations to GARCH(1, 1)-Family Models and Their Limiting Properties

  • Lee, O.
    • Communications for Statistical Applications and Methods
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    • 제21권4호
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    • pp.327-334
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    • 2014
  • Various modified GARCH(1, 1) models have been found adequate in many applications. We are interested in their continuous time versions and limiting properties. We first define a stochastic integral that includes useful continuous time versions of modified GARCH(1, 1) processes and give sufficient conditions under which the process is exponentially ergodic and ${\beta}$-mixing. The central limit theorem for the process is also obtained.