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Financial Risk Manager Part 1

Financial Risk Manager Part 1

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A risk analyst is estimating the variance of stock returns on day n, given by σn2\sigma_n^2σn2​, using the equation,

σn2=γVL+αun−12+βσn−12,\sigma_n^2 = \gamma V_L + \alpha u_{n-1}^2 + \beta \sigma_{n-1}^2,σn2​=γVL​+αun−12​+βσn−12​,

where un−1u_{n-1}un−1​ and σn−1\sigma_{n-1}σn−1​ represent the return and volatility on day n−1n-1n−1, respectively.

If the values of α\alphaα and β\betaβ are as indicated below and the expected value of the return is constant over time, which combination of values is correct for a GARCH(1,1) process?_

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