Calculate a loan's APR with fees by the Regulation Z actuarial method, the amount financed, the finance charge and the effective annual rate.
പുതുക്കിയത് പരിശോധിച്ച ഉദാഹരണങ്ങൾ: 7
You receive $294,000.00 and repay 360 payments of $1,896.20, $682,633.47 in all. The rate that makes those payments worth exactly what you received is 0.5579% per period, an APR of 6.695%, against an interest rate of 6.5%. Compounded over a year, that is 6.905%.
| വർഷം | പലിശ | മുതൽ | ബാക്കി |
|---|---|---|---|
| 1 | $19,401.27 | $3,353.18 | $296,646.82 |
| 2 | $19,176.70 | $3,577.74 | $293,069.08 |
| 3 | $18,937.10 | $3,817.35 | $289,251.73 |
| 4 | $18,681.44 | $4,073.01 | $285,178.72 |
| 5 | $18,408.66 | $4,345.79 | $280,832.93 |
| 6 | $18,117.62 | $4,636.83 | $276,196.10 |
| 7 | $17,807.08 | $4,947.37 | $271,248.73 |
| 8 | $17,475.75 | $5,278.70 | $265,970.03 |
| 9 | $17,122.22 | $5,632.23 | $260,337.81 |
| 10 | $16,745.02 | $6,009.43 | $254,328.38 |
Fees paid at closing or deducted from the proceeds are prepaid finance charges and come off the amount financed (12 CFR 1026.18(b)).
No closed form exists; the rate is bracketed by bisection and refined by Newton's method until the two sides agree to 28 decimal places.
12 CFR 1026 Appendix J (b)(1): the rate per unit-period times the unit-periods in a year.
Total of payments minus the amount financed: all interest plus the fees.
The APR is the yearly rate at which the loan payments are worth exactly the money you actually receive, the amount financed. Fees charged for the credit, such as origination fees and points, lower the amount financed when you pay them at closing, or raise the payments when they are added to the loan, so the APR comes out above the interest rate. The calculator solves for that rate numerically, as the actuarial method in Regulation Z, Appendix J, prescribes, and multiplies the rate per payment period by the periods in a year.
With the defaults, $300,000 at 6.5% for 30 years costs $1,896.20 a month. With $6,000 of fees paid upfront, the borrower receives $294,000, and the APR is 6.695%; the effective annual rate is 6.905%.
The APR assumes the loan runs to the end of its term with every payment on time. Paid off early, the fees are spread over fewer years and the true cost is higher.
പരിശോധനയുടെ ഉറവിടം: 12 CFR 1026 Appendix J, (c)(1) Example (i): annual percentage rate 9.69%; Python decimal gives 9.685708 %
പരിശോധനയുടെ ഉറവിടം: calculator.net APR calculator published result: real APR 6.563%, payment $1,110.21, total interest $33,224.60
പരിശോധനയുടെ ഉറവിടം: Python decimal (prec 60), bisection on the Appendix J equation to 400 halvings: APR 6.695317 %
പരിശോധനയുടെ ഉറവിടം: Definition: with no finance-charge fees the amount financed equals the loan; EAR 1.0058333^12 − 1 = 7.2290 %
The interest rate sets the payment; the APR also counts fees charged for the credit and expresses the total cost as a yearly rate. A $100,000 loan at 6% for 10 years costs $1,110.21 a month; with $2,500 of upfront fees the borrower nets $97,500 and the APR is 6.563%. Without fees the APR equals the rate.
Find the rate per payment period at which the present value of all payments equals the amount financed, then multiply by the number of periods in a year. Regulation Z's Appendix J example: $5,000 repaid in 24 monthly payments of $230 gives a monthly rate of 0.80714%, so the APR is 9.69%. There is no closed formula, so the rate is found by iteration.
Charges that are part of the finance charge under Regulation Z: points, loan and finder's fees, and premiums for insurance that protects the lender against default, such as mortgage insurance (12 CFR 1026.4(b)). Charges of a type you would pay in a cash deal are left out, and on real-estate loans so are bona fide title, appraisal, credit-report and document fees (1026.4(c)(7)).
The APR is the rate per period times the periods in a year, with no compounding; the effective annual rate compounds it: (1 + APR ÷ 12)^12 − 1 for monthly payments. A 6.695% APR on a monthly loan is an effective 6.905%. US disclosures use the APR; the effective rate is what the loan costs over a full year of compounding.
Within 1/8 of a percentage point of the true APR for a regular loan, and within 1/4 point for irregular ones with multiple advances or uneven payments, under 12 CFR 1026.22(a). A disclosed APR of 6.75% on the default loan, whose true APR is 6.695%, is inside the tolerance; 6.85% is not.
കൃത്യത നിങ്ങളുടെ ഇൻപുട്ടുകളെയും രീതിയുടെ അനുമാനങ്ങളെയും ആശ്രയിച്ചിരിക്കുന്നു. ദശാംശ ഗണിതം 50 സാർഥക അക്കങ്ങൾ ഉപയോഗിക്കുന്നു. എന്നാൽ അനുമാനക്കണക്കുകൾ, സംഖ്യാത്മക രീതികൾ, ഉറവിട ഡാറ്റ എന്നിവയ്ക്ക് കൃത്യത കുറവാകാം; പ്രദർശിപ്പിക്കുന്ന മൂല്യം റൗണ്ട് ചെയ്യുന്നത് ഈ പരിമിതികൾ നീക്കില്ല. സ്വതന്ത്ര ഉറവിടങ്ങളിലെ പരിഹാരങ്ങളുമായി പരിശോധിച്ച ഉദാഹരണങ്ങൾ: 7. ഉദാഹരണത്തിന്, “Regulation Z Appendix J (c)(1) example (i): $5,000, 24 monthly payments of $230” എന്നത് 12 CFR 1026 Appendix J, (c)(1) Example (i): annual percentage rate 9.69%; Python decimal gives 9.685708 % ഉപയോഗിച്ച് പരിശോധിക്കുന്നു.
12 CFR 1026, Appendix J (Regulation Z): annual percentage rate computations for closed-end credit; 12 CFR 1026.22: determination of the annual percentage rate and accuracy tolerances; 12 CFR 1026.18(b): amount financed; 12 CFR 1026.4: finance charge.
ആസൂത്രണത്തിന് മാത്രം. വായ്പാദാതാക്കളും നികുതി അധികാരികളും വിപണികളും സ്വന്തം റൗണ്ടിംഗ്, ഫീസുകൾ, ചട്ടങ്ങൾ എന്നിവ പ്രയോഗിക്കുന്നു; ബാധ്യത ഏറ്റെടുക്കുന്നതിന് മുമ്പ് അവരുമായി തുകകൾ സ്ഥിരീകരിക്കുക.
ഈ കാൽക്കുലേറ്ററിൽ സ്വതന്ത്ര ആധാരങ്ങളിൽ നിന്ന് ഉത്തരങ്ങൾ ലഭിച്ച 7 പരിഹരിച്ച ഉദാഹരണങ്ങളുണ്ട്. ഇവ പരിശോധനാസമുച്ചയത്തിൽ പ്രവർത്തിക്കുന്നു; നിങ്ങൾക്ക് ഇവിടെയും പ്രവർത്തിപ്പിക്കാം.
ഭവന, വാഹന അല്ലെങ്കിൽ വ്യക്തിഗത വായ്പയുടെ മാസത്തവണ, ആകെ പലിശ, മുൻകൂർ അടവുകൾ ഉൾപ്പെടുന്ന പ്രതിമാസ തിരിച്ചടവ് പട്ടിക എന്നിവ കണക്കാക്കുക.
വസ്തുനികുതി, ഇൻഷുറൻസ്, വീട്ടുടമകളുടെ അസോസിയേഷൻ ഫീസ് (HOA), സ്വകാര്യ മോർട്ട്ഗേജ് ഇൻഷുറൻസ് (PMI) ഉൾപ്പെടെയുള്ള മാസത്തവണയും തിരിച്ചടവ് പട്ടികയും അധിക അടവുകളിലൂടെ ലഭിക്കുന്ന ലാഭവും കണക്കാക്കുക.
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