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(no subject)Hello All,
I am trying to fit an ARMA-GARCH models to a series of profit and loss data using the garchFit function, but I keep getting the error message: Error in solve.default(fit$hessian) : system is computationally singular: reciprocal condition number = 6.21621e-20 Is there some way arround this and how do I interpret it? Any help would be much appreciated, Nadia Fit1 <- garchFit((F1) ~ arma(1,0)+ garch(1, 1), data = F1,include.mean=F,trace=F Fit2 <- garchFit((F1) ~ arma(0,2)+ garch(1, 1), data = F1,include.mean=F,trace=F For some reason if I difference the data I get an answer, although the data is stationary to start with... fit3 <- garchFit(diff(F1) ~ arma(1,0)+ garch(1, 1), data = F1,include.mean=F,trace=F) fit4 <- garchFit(diff(F1) ~ arma(0,2)+ garch(1, 1), data = F1,include.mean=F,trace=F) F1 1 1093461.00 2 -1598153.00 3 -926665.00 4 -389588.00 5 1287609.00 6 446490.00 7 1874623.20 8 -600981.00 9 3030121.00 10 944483.00 11 70480.00 12 1889262.00 13 2475622.00 14 567088.00 15 228244.00 16 532480.00 17 755870.00 18 367139.00 19 377645.53 20 616321.60 21 5172433.00 22 1245409.34 23 -484286.85 24 1002435.32 25 2159400.00 26 1933816.18 27 1316389.81 28 -2088405.35 29 5645332.53 30 1461335.71 31 -3965164.28 32 1725178.15 33 -513809.43 34 941718.23 35 -1471858.74 36 -1892060.51 37 -3228717.46 38 -924457.86 39 2058422.25 40 1470418.00 41 2079468.57 42 4542167.83 43 2025927.94 44 -809843.52 45 1222165.25 46 215759.08 47 259056.17 48 -4974612.43 49 232027.45 50 -552425.97 51 2652233.00 52 2900319.00 53 -992782.24 54 -723346.38 55 896492.84 56 -171206.25 57 -176512.86 58 -707179.00 59 4576389.57 60 -881559.13 61 5439944.72 62 3378591.00 63 1354165.81 64 1481049.00 65 -623891.35 66 293302.70 67 1887769.37 68 1913328.32 69 183508.95 70 -494612.00 71 1576882.45 72 368430.21 73 -527505.23 74 273016.24 75 -1479130.19 76 912315.69 77 2226687.58 78 1856797.47 79 -379096.25 80 2558649.00 81 -1316456.03 82 4290146.00 83 -2160335.33 84 -2290187.00 85 1438260.00 86 -1923527.75 87 718087.55 88 -879864.19 89 6230041.97 90 -1309757.33 91 4652940.26 92 1751548.36 93 1480268.00 94 690328.74 95 104147.23 96 3254152.00 97 1999410.00 98 852150.27 99 1005280.75 100 1638168.52 101 5685228.35 102 -1268166.97 103 2348314.66 104 -221120.42 105 -1002464.71 106 2722707.73 107 -1895496.46 108 1480585.00 109 679426.00 110 -478247.60 111 -142656.79 112 1030666.60 113 -552600.42 114 -879965.80 115 -750395.00 116 2991376.73 117 410220.14 118 807595.41 119 1340964.04 120 -675042.14 121 624828.85 122 -682585.92 123 1206922.27 124 1479846.67 125 -116906.34 126 2136962.57 127 -1368650.85 128 894031.13 129 1174251.69 130 1527603.37 131 283804.30 132 2735591.18 133 266902.29 134 463158.39 135 1174388.49 136 -278806.30 137 711446.44 138 -258038.98 139 -1137578.27 140 -5780982.91 141 1393814.26 142 -5256645.26 143 -1004299.13 144 3970156.28 145 674102.08 146 2229822.68 147 -1364336.33 148 -638769.21 149 -367847.73 150 5041488.74 151 1717772.90 152 609760.62 153 -1134470.24 154 305159.44 155 -971439.68 156 7014599.63 157 2310754.76 158 851374.69 159 418373.19 160 -248187.59 161 -55725.64 162 64091.41 163 -498499.54 164 992299.79 165 602781.93 166 161838.85 167 456179.71 168 -549647.27 169 1935026.46 170 1016399.64 171 1201762.35 172 2211050.10 173 -280042.45 174 1890255.78 175 679551.42 176 1667083.57 177 1501669.80 178 244045.70 179 684587.15 180 139433.11 181 -989337.97 182 476324.73 183 3467369.81 184 -1485014.62 185 1267854.45 186 394209.55 187 300190.26 188 -1011005.68 189 212647.47 190 1364289.64 191 1874678.33 192 1681544.52 193 -158716.16 194 176513.56 195 2308834.41 196 4273567.78 197 3877489.92 198 2232699.06 199 171069.48 200 1865851.47 201 -70952.29 202 2906838.77 203 3668424.89 204 -622356.37 205 4795931.34 206 -246819.83 207 498885.72 208 1629856.92 209 393029.13 210 1028597.74 211 2460547.30 212 434330.34 213 -64866.61 214 2499282.13 215 1823688.15 216 6600729.92 217 3099162.72 218 -2201842.71 219 -1007541.30 220 1206889.17 221 -80721.97 222 520120.54 223 -370491.29 224 517254.47 225 662231.45 226 1833720.25 227 -447796.52 228 -853447.00 229 982230.28 230 128894.29 231 -314228.35 232 1393570.58 233 284240.84 234 -495545.97 235 1459307.37 236 3921189.55 237 4180789.32 238 1253859.24 239 279194.46 240 2747102.25 241 217848.50 242 233634.60 243 -224539.62 244 -308670.82 245 -3582390.61 246 6456600.85 247 1406860.55 248 508207.43 249 824246.92 250 5191586.14 251 6590987.97 252 4555436.79 253 1404384.44 254 384424.40 255 -60938.23 256 -1987329.71 257 -380800.96 258 -142061.91 259 1706936.33 260 1597928.97 261 636012.76 262 -1280458.06 263 876741.03 264 1874830.82 265 -309118.78 266 4473988.37 267 1450500.45 268 967265.36 269 1869439.10 270 -169594.83 271 791380.88 272 890313.63 273 13758.21 274 -124209.66 275 -750398.55 276 342004.56 277 -313034.79 278 -597365.33 279 2645499.83 280 1154700.58 281 1641864.27 282 2379635.14 283 649975.48 284 2401440.77 285 -2207116.06 286 5284304.02 287 2164136.30 288 245218.39 289 5556193.53 290 1320113.73 291 2693069.35 292 -874829.47 293 108091.54 294 1402972.41 295 1347698.07 296 -1410265.96 297 2381122.07 298 1736116.57 299 -492034.54 300 1649688.54 301 -331285.00 302 1999641.84 303 1802939.22 304 3925935.11 305 2365259.40 306 2139205.04 307 2624200.58 308 2654851.08 309 665306.09 310 172899.49 311 2640464.08 312 -844797.00 313 3937596.54 314 -341545.36 315 2706866.26 316 81360.38 317 2508279.56 318 1517046.07 319 2255092.44 320 2285612.51 321 1328347.79 322 388032.50 323 6644467.75 324 3300934.21 325 5901068.85 326 3147995.56 327 1525064.33 328 4460557.00 329 2948706.00 330 2390745.35 331 -2352122.59 332 2993273.65 333 5256865.52 334 -1066141.88 335 1608975.39 336 2524702.02 337 -236140.41 338 4235466.27 339 1556723.75 340 2046231.55 341 1294775.31 342 3056245.32 343 -505064.34 344 2686057.15 345 1218588.46 346 1310555.47 347 2286241.86 348 330962.08 349 541291.65 350 -3318288.86 351 544720.80 352 2855910.39 353 2976572.61 354 1136365.11 355 623635.00 356 -675098.93 357 -1678643.97 358 1912984.00 359 -343238.63 360 1093345.06 361 889776.55 362 2433033.27 363 3034097.42 364 5976235.00 365 2756356.00 366 -1595126.80 367 -160795.22 368 -236696.12 369 6429842.62 370 6855512.85 371 -515163.80 372 128615.48 373 -396709.61 374 615337.68 375 -1200299.12 376 1600644.61 377 -698874.52 378 -19159.82 379 5421460.75 380 -2944655.77 381 667931.32 382 -176737.80 383 427579.39 384 4709315.49 385 5377943.19 386 4929685.65 387 5848534.01 388 -1281657.70 389 656429.12 390 1566159.40 391 6889322.16 392 1271067.11 393 1125895.56 394 1114048.34 395 3931889.90 396 5605263.02 397 5887614.55 398 -1122833.67 399 1799051.51 400 4407472.04 401 -2216572.82 402 -1656310.51 403 -2062906.64 404 12257515.04 405 -1722060.94 406 -535441.11 407 -260361.57 408 -250307.89 409 1746589.28 410 7491984.63 411 1236661.04 412 1582151.14 413 2815894.88 414 883254.85 415 1122297.53 416 2045899.81 417 1343089.42 418 -196050.93 419 -194364.87 420 996471.51 421 -1062418.80 422 7596125.01 423 -978986.32 424 3514765.58 425 1877025.38 426 355666.45 http://www.investec.com/EmailDisclaimer/emaildisclaimer.htm The disclaimer also provides our corporate information and names of our directors as required by law. 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