• Title/Summary/Keyword: Stochastic Volatility Risk

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Stochastic Volatility Models Using Bayesian Estimation for the Leverage Effect of Dry-bulk Freight Rate (건화물선 운임의 레버리지 효과 대한 확률 변동성 모형을 활용한 베이지안 추정)

  • Kim, Hyun-Sok
    • Journal of Korea Port Economic Association
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    • v.38 no.4
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    • pp.13-23
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    • 2022
  • In this study, from January 2015 to April 2020, we propose a stochastic volatility model to capture the leverage effect on daily freight yields in the dry cargo market and analyze the freight yields. Estimation involving the Bayesian Markov Chain Monte Carlo method for the leverage effect based on the negative correlation that exists between returns and volatility in stochastic volatility analysis yields similar estimates, and the statistcs indicates significant. That is, the results of the empirical analysis show that the degree of correlation between returns and volatility, and the magnitude and sign of fluctuations differ, which suggests that taking into account the leverage effect in the SV model improves the goodness of fit of the estimates. In addition to the statistical significance of the estimated model's leverage effect, the analysis by log predictive power score presents the estimated results with improved predictive power of the model considering the leveraged effect. These astatistically significant empirical results show that the stochastic volatility model considering the leverage effect is important for freight rate risk modeling in the marine industry.

ASYMPTOTIC ANALYSIS FOR PORTFOLIO OPTIMIZATION PROBLEM UNDER TWO-FACTOR HESTON'S STOCHASTIC VOLATILITY MODEL

  • Kim, Jai Heui;Veng, Sotheara
    • East Asian mathematical journal
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    • v.34 no.1
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    • pp.1-16
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    • 2018
  • We study an optimization problem for hyperbolic absolute risk aversion (HARA) utility function under two-factor Heston's stochastic volatility model. It is not possible to obtain an explicit solution because our financial market model is complicated. However, by using asymptotic analysis technique, we find the explicit forms of the approximations of the optimal value function and the optimal strategy for HARA utility function.

Asset Pricing From Log Stochastic Volatility Model: VKOSPI Index (로그SV 모형을 이용한 자산의 가치평가에 관한 연구: VKOSPI 지수)

  • Oh, Yu-Jin
    • The Korean Journal of Applied Statistics
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    • v.24 no.1
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    • pp.83-92
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    • 2011
  • This paper examines empirically Durham's (2008) asset pricing models to the KOSPI200 index. This model Incorporates the VKOSPI index as a proxy for 1 month integrated volatility. This approach uses option prices to back out implied volatility states with an explicitly speci ed risk-neutral measure and risk premia estimated from the data. The application uses daily observations of the KOSPI200 and VKOSPI indices from January 2, 2003 to September 24, 2010. The empirical results show that non-affine model perform better than affine model.

Rare Disaster Events, Growth Volatility, and Financial Liberalization: International Evidence

  • Bongseok Choi
    • Journal of Korea Trade
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    • v.27 no.2
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    • pp.96-114
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    • 2023
  • Purpose - This paper elucidates a nexus between the occurrence of rare disaster events and the volatility of economic growth by distinguishing the likelihood of rare events from stochastic volatility. We provide new empirical facts based on a quarterly time series. In particular, we focus on the role of financial liberalization in spreading the economic crisis in developing countries. Design/methodology - We use quarterly data on consumption expenditure (real per capita consumption) from 44 countries, including advanced and developing countries, ending in the fourth quarter of 2020. We estimate the likelihood of rare event occurrences and stochastic volatility for countries using the Bayesian Markov chain Monte Carlo (MCMC) method developed by Barro and Jin (2021). We present our estimation results for the relationship between rare disaster events, stochastic volatility, and growth volatility. Findings - We find the global common disaster event, the COVID-19 pandemic, and thirteen country-specific disaster events. Consumption falls by about 7% on average in the first quarter of a disaster and by 4% in the long run. The occurrence of rare disaster events and the volatility of gross domestic product (GDP) growth are positively correlated (4.8%), whereas the rare events and GDP growth rate are negatively correlated (-12.1%). In particular, financial liberalization has played an important role in exacerbating the adverse impact of both rare disasters and financial market instability on growth volatility. Several case studies, including the case of South Korea, provide insights into the cause of major financial crises in small open developing countries, including the Asian currency crisis of 1998. Originality/value - This paper presents new empirical facts on the relationship between the occurrence of rare disaster events (or stochastic volatility) and growth volatility. Increasing data frequency allows for greater accuracy in assessing a country's specific risk. Our findings suggest that financial market and institutional stability can be vital for buffering against rare disaster shocks. It is necessary to preemptively strengthen the foundation for financial stability in developing countries and increase the quality of the information provided to markets.

Characteristics of Stochastic Volatility in Korean Stock Returns (우리나라 주식수익률의 확률변동성 특성에 관한 연구)

  • Chang, Kook-Hyun
    • The Korean Journal of Financial Management
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    • v.20 no.1
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    • pp.213-231
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    • 2003
  • This paper uses the Efficient Method of Moments(EMM) of Gallant and Tauchen to estimate continuous-time stochastic volatility diffusion model for the Korean Composite Stock Price Index, sampled daily over $1995\sim2002$. The estimates display non-normality of stock index return, leptokurtic distribution, and stochastic volatility. Funker, this study suggests that two factor stochastic volatility model will be more desirable than one factor stochastic volatility model to estimate daily Korean stock return and also suggests that the stochastic volatility diffusions should allow for Poisson jumps of time-varying intensity.

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OPTION PRICING UNDER STOCHASTIC VOLATILITY MODEL WITH JUMPS IN BOTH THE STOCK PRICE AND THE VARIANCE PROCESSES

  • Kim, Ju Hong
    • The Pure and Applied Mathematics
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    • v.21 no.4
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    • pp.295-305
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    • 2014
  • Yan & Hanson [8] and Makate & Sattayatham [6] extended Bates' model to the stochastic volatility model with jumps in both the stock price and the variance processes. As the solution processes of finding the characteristic function, they sought such a function f satisfying $$f({\ell},{\nu},t;k,T)=exp\;(g({\tau})+{\nu}h({\tau})+ix{\ell})$$. We add the term of order ${\nu}^{1/2}$ to the exponent in the above equation and seek the explicit solution of f.

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

  • Kim, Sun Woong;Choi, Heung Sik;Kim, Nam-Hyun
    • Korean Management Science Review
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    • v.31 no.1
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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.

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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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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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.