State Space Model of Realized Volatility under the Existence of Dependent Market Microstructure Noise
存在相关市场微观结构噪声时的已实现波动率状态空间模型AI 解读 ↓
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存在相关市场微观结构噪声时的已实现波动率状态空间模型AI 解读 ↓
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Volatility means the degree of variation of a stock price which is important in finance. Realized Volatility (RV) is an estimator of the volatility calculated using high-frequency observed prices. RV has lately attracted considerable attention of econometrics and mathematical finance. However, it is known that high-frequency data includes observation errors called market microstructure noise (MN). Nagakura and Watanabe[2015] proposed a state space model that resolves RV into true volatility and influence of MN. In this paper, we assume a dependent MN that autocorrelates and correlates with return as reported by Hansen and Lunde[2006] and extends the results of Nagakura and Watanabe[2015] and compare models by simulation and actual data.