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visits member for 3 years, 9 months
seen Nov 19 at 23:55

finance PhD student


Nov
30
comment zero-sum active management riddle
@QuantGuy -- Other than the case of value-weighted portfolios and value-weighted market factor (i.e., CAPM), I don't know of a requirement for $\sum_i w_i \alpha_i = 0$ and $\sum_i w_i \beta_i = 1$, where $w_i$ is the value weighting for each portfolio $i$.
Nov
29
comment How to generate a random price series with a specified range and correlation with an actual price?
How? Try AAPL and MSFT. There are about 5000 more.
Nov
28
answered How to generate a random price series with a specified range and correlation with an actual price?
Nov
28
answered zero-sum active management riddle
Nov
27
reviewed Approve suggested edit on How to use Itô's formula to deduce that a stochastic process is a martingale?
Nov
18
comment Convexity of BS Equation for Call and Put
My first stop is checking $Call(\cdot, \lambda \sigma^2_1 + (1 - \lambda) \sigma^2_2) \leq \lambda Call(\cdot, \sigma^2_1) + (1 - \lambda)Call(\cdot, \sigma^2_2)$.
Nov
14
comment How to check if a timeseries is stationary?
@Dail -- There are a variety of tests, but Wald tests that all coefficients are jointly zero is probably the easiest. I searched for how to do this in R, but wasn't too successful. You will likely have to grab a text book and code the tests yourself. (I switched to Stata for most analyses because hypothesis testing is so much easier).
Nov
14
comment How to check if a timeseries is stationary?
@SKRX -- Yes, thanks. I should have included more commentary. He asked how to fit a GARCH model in R, so I gave some code. Once he determines the best-fitting GARCH model with ll, ic, and ssr, he can perform joint tests on the GARCH model coefficients.
Nov
14
comment How GARCH/ARCH models are useful to check the volatility?
The plots are helpful, but to determine if the GARCH model fits, you should use statistics. Look at the log-likelihood, sum-of-squared-residuals, and information criteria across various specifications to see which fits best. Then perform joint test of the GARCH coefficients. If you fail to reject that all coefficients are jointly zero, then you don't need a GARCH model.
Nov
14
comment How GARCH/ARCH models are useful to check the volatility?
fitted.values has +/- sigt (why isn't clear to me). You want to plot the positive sigt versus some time index. Something like this: y <- arch_model$fitted.values[, 1] then x <- seq(1, length(y)) then plot(x, y).
Nov
14
answered How to check if a timeseries is stationary?
Nov
14
comment How to check if a timeseries is stationary?
@Dam -- I will post some code in an answer.
Nov
13
comment Any recommendations for textbooks for an undergraduate course in mathematical finance?
Are MFE/MSCF students not well-prepared? I would guess that you'll find the right level in Shreve's two book series. If these kids are really that tough, then use Duffie's. Although if these kids don't have exposure to the concepts in finance, then you may be best of with Hull's book and beefing up the math where necessary.
Nov
13
comment How to check if a timeseries is stationary?
@Dam -- You can reject the unit root and still have time-varying volatility. Maybe you want to fit an ARCH model?
Nov
13
comment How to check if a timeseries is stationary?
I agree with the Phillips-Perron test. The Augmented Dickey-Fuller test is not robust to the selection of the number of lags. The KPSS test differs from these two tests in its null hypothesis, which is trend stationarity.
Sep
22
awarded  Enlightened
Sep
22
awarded  Nice Answer
Sep
6
awarded  Nice Question
Sep
2
comment Garch modelling on Stata
@sheegaon -- Good point. But it's a RTFM answer (or a LMGTFY answer) that doesn't add much to either community. I will see if the QF community closes.
Sep
2
answered Garch modelling on Stata