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Annual percentage yield

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ANNUAL PERCENTAGE YIELD. — The term "annual percentage yield" means the total amount of interest that would be received on a $ 100 deposit, based on the annual rate of simple interest and the frequency of compounding for a 365-day period, expressed as a percentage calculated by a method which shall
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period of one year. APY figures allow a reasonable, single-point comparison of different offerings with varying compounding schedules. However, it does not account for the possibility of account fees affecting the net gain. APY generally refers to the rate paid to a depositor by a financial
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To promote financial products that do not involve debt, banks and other firms will often quote the APY (as opposed to the APR because the APY represents the customer receiving a higher return at the end of the term). For example, a
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as a limit). This is a reasonable approximation if the compounding is daily. Also, it is worth noting that a nominal interest rate and its corresponding APY are very nearly equal when they are small. For example (fixing some large
145: 506: 266: 408: 178: 204: 76: 305: 288:), a nominal interest rate of 100% would have an APY of approximately 171%, whereas 5% corresponds to 5.12%, and 1% corresponds to 1.005%. 592: 419: 220: 561: 631: 34: 276: 651: 541: 67: 326: 531: 55: 47: 297: 181: 518:"interest" is the total dollar amount of interest earned on the Principal for the term of the account, 308: 20: 156: 515:"principal" is the amount of funds assumed to have been deposited at the beginning of the account, 304:, the calculation of the APY and the related annual percentage yield earned are regulated by the 536: 42: 617: 189: 645: 301: 38: 568: 58:
that has a 4.65% APR, compounded monthly, would instead be quoted as a 4.75% APY.
140:{\displaystyle {\text{APY}}=\left(1+{\frac {i_{\text{nom}}}{N}}\right)^{N}-1,} 618:"FDIC Law, Regulations, Related Acts - Consumer Financial Protection Bureau" 50:(APR) refers to the rate paid to a financial institution by a borrower. 521:"days in term" is the actual number of days in the term of the account. 632:"FDIC Law, Regulations, Related Acts - Consumer Protection" 562:"Cutting Credit Costs: Annual Percentage Rates and Yields" 501:{\displaystyle {\text{interest}}={\text{principal}}\left.} 261:{\displaystyle {\text{APY}}\approx e^{i_{\text{nom}}}-1,} 70:
formula, but the precise usage may depend on local laws.
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One common mathematical definition of APY uses this
500: 402: 260: 198: 172: 139: 313: 206:is the number of compounding periods per year. 8: 316:be prescribed by the Board in regulations. 19:"APY" redirects here. For other uses, see 474: 469: 468: 447: 431: 423: 421: 382: 377: 373: 358: 330: 328: 241: 236: 224: 222: 191: 164: 158: 122: 106: 100: 80: 78: 553: 279:(the formula follows the definition of 593:"Why You Need to Know Interest Rates" 413:Algebraically, this is equivalent to 403:{\displaystyle {\text{APY}}=100\left} 320:The calculation method is defined as 7: 14: 46:institution, while the analogous 173:{\displaystyle i_{\text{nom}}} 1: 668: 277:base of natural logarithms 18: 542:Effective interest rate 68:effective interest rate 27:Annual percentage yield 532:Annual equivalent rate 502: 404: 318: 298:financial institutions 262: 200: 174: 141: 56:certificate of deposit 48:annual percentage rate 503: 405: 263: 201: 182:nominal interest rate 175: 142: 37:representation of an 420: 327: 309:Truth in Savings Act 221: 190: 157: 77: 21:APY (disambiguation) 498: 400: 258: 196: 170: 137: 537:Compound interest 472: 455: 451: 434: 426: 385: 366: 365: 362: 333: 244: 227: 199:{\displaystyle N} 167: 115: 109: 83: 659: 636: 635: 628: 622: 621: 614: 608: 606: 604: 603: 597:www.axosbank.com 589: 583: 582: 580: 579: 573: 567:. Archived from 566: 558: 507: 505: 504: 499: 494: 490: 483: 482: 478: 473: 470: 467: 463: 456: 449: 448: 435: 432: 427: 424: 409: 407: 406: 401: 399: 395: 388: 387: 386: 383: 381: 372: 368: 367: 363: 360: 359: 334: 331: 267: 265: 264: 259: 248: 247: 246: 245: 242: 228: 225: 205: 203: 202: 197: 179: 177: 176: 171: 169: 168: 165: 146: 144: 143: 138: 127: 126: 121: 117: 116: 111: 110: 107: 101: 84: 81: 667: 666: 662: 661: 660: 658: 657: 656: 642: 641: 640: 639: 630: 629: 625: 616: 615: 611: 607: 601: 599: 591: 590: 586: 577: 575: 571: 564: 560: 559: 555: 550: 528: 446: 442: 441: 440: 436: 418: 417: 351: 347: 346: 345: 341: 325: 324: 294: 237: 232: 219: 218: 188: 187: 160: 155: 154: 102: 93: 89: 88: 75: 74: 64: 24: 17: 12: 11: 5: 665: 663: 655: 654: 652:Interest rates 644: 643: 638: 637: 623: 609: 584: 552: 551: 549: 546: 545: 544: 539: 534: 527: 524: 523: 522: 519: 516: 509: 508: 497: 493: 489: 486: 481: 477: 466: 462: 459: 454: 445: 439: 430: 411: 410: 398: 394: 391: 380: 376: 371: 357: 354: 350: 344: 340: 337: 293: 290: 269: 268: 257: 254: 251: 240: 235: 231: 208: 207: 195: 185: 163: 148: 147: 136: 133: 130: 125: 120: 114: 105: 99: 96: 92: 87: 63: 60: 16:Financial term 15: 13: 10: 9: 6: 4: 3: 2: 664: 653: 650: 649: 647: 633: 627: 624: 619: 613: 610: 598: 594: 588: 585: 574:on 2013-05-22 570: 563: 557: 554: 547: 543: 540: 538: 535: 533: 530: 529: 525: 520: 517: 514: 513: 512: 495: 491: 487: 484: 479: 475: 464: 460: 457: 452: 443: 437: 428: 416: 415: 414: 396: 392: 389: 378: 374: 369: 355: 352: 348: 342: 338: 335: 323: 322: 321: 317: 312: 310: 307: 303: 302:United States 299: 292:United States 291: 289: 287: 282: 278: 274: 255: 252: 249: 238: 233: 229: 217: 216: 215: 213: 193: 186: 183: 161: 153: 152: 151: 134: 131: 128: 123: 118: 112: 103: 97: 94: 90: 85: 73: 72: 71: 69: 61: 59: 57: 51: 49: 44: 41:, based on a 40: 39:interest rate 36: 32: 28: 22: 626: 612: 600:. Retrieved 596: 587: 576:. Retrieved 569:the original 556: 510: 471:days in term 412: 384:days in term 319: 314: 295: 285: 280: 272: 270: 211: 209: 149: 65: 52: 30: 26: 25: 43:compounding 602:2019-04-16 578:2013-10-23 548:References 210:For large 35:normalized 485:− 433:principal 390:− 364:principal 311:of 1991: 250:− 230:≈ 129:− 646:Category 526:See also 425:interest 361:interest 214:we have 62:Equation 300:in the 275:is the 180:is the 150:where 33:) is a 271:where 572:(PDF) 565:(PDF) 511:Here 306:FDIC 296:For 480:365 453:100 450:APY 375:365 339:100 332:APY 243:nom 226:APY 184:and 166:nom 108:nom 82:APY 31:APY 648:: 595:. 634:. 620:. 605:. 581:. 496:. 492:] 488:1 476:/ 465:) 461:1 458:+ 444:( 438:[ 429:= 397:] 393:1 379:/ 370:) 356:+ 353:1 349:( 343:[ 336:= 286:N 281:e 273:e 256:, 253:1 239:i 234:e 212:N 194:N 162:i 135:, 132:1 124:N 119:) 113:N 104:i 98:+ 95:1 91:( 86:= 29:( 23:.

Index

APY (disambiguation)
normalized
interest rate
compounding
annual percentage rate
certificate of deposit
effective interest rate
nominal interest rate
base of natural logarithms
financial institutions
United States
FDIC
Truth in Savings Act
Annual equivalent rate
Compound interest
Effective interest rate
"Cutting Credit Costs: Annual Percentage Rates and Yields"
the original
"Why You Need to Know Interest Rates"
"FDIC Law, Regulations, Related Acts - Consumer Financial Protection Bureau"
"FDIC Law, Regulations, Related Acts - Consumer Protection"
Category
Interest rates

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