Question

Loan Repayment

A house is purchased for $200,000 and a 20% down payment is made. The balance is financed by a 30 year adjustable rate mortgage with monthly payments. The initial interest rate is 12% per annum, compounded monthly. Just after the 240th payment, the interest rate is increased to 14% compounded monthly. The payments remain at the original amount until a final smaller payment fully repays the loan. What is the total number of monthly mortgage payments made over the life of the loan, including the final smaller payment?

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B. C D F G H 1 2 Given 4 Down Payment Amount = $ 200000*20% = $ 40,000 5 Loan Amount= Amount required to purchase the House -А B D F E H We know that the value of the Future Cash outflow is equal to the loan Amount Then X* PVAF ( 1%,360) = $160000 X*A17 G H A B 46 10 $159,571.10 47 11 $159,521.03 48 12 $159,470.46 49 13 $159,419.38 50 $159,367.80 51 15 $159,315.69 52 16 $1А G H 73 74 75 76 78 79 80 81 82 83 84 85 86 B 37 $158,027.90 38 $157,962.40 39 $157,896.24 40 $157,829.42 41 $157,761.93 42А B H 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 64 $156,009A H 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 B С 91 $153,3А В H 154 155 118 119 120 121 122 123 124 125 126 127 128 129 130 156 157) 158 159 160 161 162 163 164 165 166 167 168 169 17A17 A B G H 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 145 146 147 148 149 150 151 152 153 154 155 156 157 1А H 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 B C 172 $139,A H 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 B 199 $131,74A B G H 62 263 265 66 67 68 69 70 226 227 228 229 230 231 232 233 234 235 236 237 238 С $121,625.01 $121,195.48 $120,761.66 $B D E F G 289 H 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 Interest TotaA B G H 313 314 315 316 317 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 318 319 320 321 322 323 324 325 326 3A B G H 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 290 291 2A B D H 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 317 318 319 320 321 322 3А H 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 342 343 344 345 346 347 348 349 350 351 352 353 354 355 С $56A17 A G 419 Н 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 369 370 371 372 373 374 375 376 377 378 379

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