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布朗运动在金融市场的应用
波动率建模:布朗运动的方差特性(Var(St)∝t )使历史波动率(Historical Volatility)可通过价格序列的标准差估计,公式为:σ=T−1 1 ∑i=1 T (ln(Si /Si−1)−μ)2 Value at Risk(VaR):基于布朗运动的正态分布假设,可计算资产组合在一定置信水平下的最大预期损失。
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