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Financial Risk Manager Part 1

Financial Risk Manager Part 1

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The exponentially weighted moving average (EWMA) and the generalized autoregressive conditional heteroscedasticity (GARCH) are two well-recognized volatility models. Suppose we have an EWMA and a GARCH (1, 1). Both have the same parameter attached on the σn−12\sigma_{n-1}^2σn−12​, and σn−12=rn−12\sigma_{n-1}^2 = r_{n-1}^2σn−12​=rn−12​. Further assume that σn−12\sigma_{n-1}^2σn−12​ is currently above the long-run variance, which model will forecast a lower day nnn volatility?

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