GARCH (1, 1) estimates for the month-of-the-year effect
| Sensex | Nifty | ||||||
|---|---|---|---|---|---|---|---|
| Variables | Coefficient | Std. error | z-statistic | Variables | Coefficient | Std. error | z-statistic |
| JANUARY | 0.000575 | 0.000404 | 1.421898 | JANUARY | 0.000554 | 0.000418 | 1.325730 |
| FEBRUARY | 0.000510 | 0.000438 | 1.164593 | FEBRUARY | 0.000214 | 0.000445 | 0.480779 |
| MARCH | 0.000971 | 0.000527 | 1.844662* | MARCH | 0.001225 | 0.000517 | 2.367222** |
| APRIL | 0.000736 | 0.000501 | 1.469235 | APRIL | 0.000663 | 0.000501 | 1.322344 |
| MAY | 0.001092 | 0.000441 | 2.475568** | MAY | 0.001051 | 0.000438 | 2.399501** |
| JUNE | 0.001073 | 0.000507 | 2.118158** | JUNE | 0.000948 | 0.000514 | 1.845342 |
| JULY | 0.000821 | 0.000435 | 1.888864* | JULY | 0.000818 | 0.000425 | 1.923102* |
| AUGUST | 0.000454 | 0.000435 | 1.043088 | AUGUST | 0.000526 | 0.000442 | 1.189467 |
| SEPTEMBER | 0.000888 | 0.000385 | 2.306410** | SEPTEMBER | 0.000799 | 0.000383 | 2.086787** |
| OCTOBER | 0.000991 | 0.000482 | 2.054911** | OCTOBER | 0.001052 | 0.000519 | 2.025627** |
| NOVEMBER | 0.001289 | 0.000513 | 2.515445** | NOVEMBER | 0.001292 | 0.000519 | 2.489319** |
| DECEMBER | 0.000964 | 0.000416 | 2.317567** | DECEMBER | 0.001029 | 0.000417 | 2.466620** |
| Return(−1) | 0.072445 | 0.013768 | 5.261952*** | Return(−1) | 0.070617 | 0.013655 | 5.171484*** |
| Variance equation | Variance equation | ||||||
| ω | 2.42E-06 | 2.97E-07 | 8.135466*** | ω | 2.63E-06 | 2.93E-07 | 8.975182*** |
| α | 0.105572 | 0.005104 | 20.68356*** | α | 0.109913 | 0.005107 | 21.52169*** |
| β | 0.888120 | 0.004946 | 179.5461*** | β | 0.884138 | 0.004878 | 181.2368*** |
| Log likelihood | 18325.00 | Akaike info criterion | −5.904224 | Log likelihood | 18329.90 | Akaike info criterion | −5.890608 |
| Durbin–Watson stat | 2.0362 | Schwarz criterion | −5.886855 | Durbin–Watson stat | 2.044249 | Schwarz info criterion | −5.873277 |
| Diagnostic tests | |||||||
| Ljung Box Q (1) | 0.0870 (0.786) | ARCH LM Test (1) | 0.8689 (0.7682) | Ljung Box Q (1) | 0.1627 (0.6870) | ARCH LM Test (1) | 0.1625 (0.6868) |
| Ljung Box Q (5) | 4.2485 (0.541) | ARCH LM Test (5) | 0.8542 (0.5112) | Ljung Box Q (5) | 3.7780 (0.582) | ARCH LM Test (5) | 0.7627 (0.5766) |
| Sensex | Nifty | ||||||
|---|---|---|---|---|---|---|---|
| Variables | Coefficient | Std. error | Variables | Coefficient | Std. error | ||
| 0.000575 | 0.000404 | 1.421898 | 0.000554 | 0.000418 | 1.325730 | ||
| 0.000510 | 0.000438 | 1.164593 | 0.000214 | 0.000445 | 0.480779 | ||
| 0.000971 | 0.000527 | 1.844662 | 0.001225 | 0.000517 | 2.367222 | ||
| 0.000736 | 0.000501 | 1.469235 | 0.000663 | 0.000501 | 1.322344 | ||
| 0.001092 | 0.000441 | 2.475568 | 0.001051 | 0.000438 | 2.399501 | ||
| 0.001073 | 0.000507 | 2.118158 | 0.000948 | 0.000514 | 1.845342 | ||
| 0.000821 | 0.000435 | 1.888864 | 0.000818 | 0.000425 | 1.923102 | ||
| 0.000454 | 0.000435 | 1.043088 | 0.000526 | 0.000442 | 1.189467 | ||
| 0.000888 | 0.000385 | 2.306410 | 0.000799 | 0.000383 | 2.086787 | ||
| 0.000991 | 0.000482 | 2.054911 | 0.001052 | 0.000519 | 2.025627 | ||
| 0.001289 | 0.000513 | 2.515445 | 0.001292 | 0.000519 | 2.489319 | ||
| 0.000964 | 0.000416 | 2.317567 | 0.001029 | 0.000417 | 2.466620 | ||
| 0.072445 | 0.013768 | 5.261952 | 0.070617 | 0.013655 | 5.171484 | ||
| Variance equation | Variance equation | ||||||
| 2.42E-06 | 2.97E-07 | 8.135466 | 2.63E-06 | 2.93E-07 | 8.975182 | ||
| 0.105572 | 0.005104 | 20.68356 | 0.109913 | 0.005107 | 21.52169 | ||
| 0.888120 | 0.004946 | 179.5461 | 0.884138 | 0.004878 | 181.2368 | ||
| 18325.00 | −5.904224 | 18329.90 | −5.890608 | ||||
| 2.0362 | −5.886855 | 2.044249 | −5.873277 | ||||
| 0.0870 | 0.8689 | 0.1627 | 0.1625 | ||||
| 4.2485 | 0.8542 | 3.7780 | 0.7627 | ||||
Notes:
Ljung Box Q statistics represents the squared residuals up to lag 5. *, ** and *** indicate statistically significant at 10%, 5% and 1%, respectively
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