How do you calculate APR on a CD?

APR = n × ((1 + APY)^(1/n) − 1), where APY is the quoted yield as a decimal and n is the number of compounding periods per year. It converts an effective annual yield back into the nominal rate that is actually applied at each compounding period. A 4.60% APY compounded daily corresponds to a 4.50% APR. You need this conversion whenever a bank hands you an APY but a calculator, a spreadsheet or a comparison expects a nominal rate — entering an APY where a nominal rate belongs applies compounding a second time and overstates the result. APR is always the lower of the two figures on any account compounding more than once a year, and the gap widens as the rate and the compounding frequency rise. It is the rate the bank works with internally; APY is the rate it advertises.

Which is higher on a CD, APR or APY?

APY is higher on any CD that compounds more than once a year, and the two are identical only when interest compounds exactly annually. The reason is that APY includes the effect of interest earning interest, while APR is the plain nominal rate applied at each compounding period. A 4.40% APR compounded daily produces a 4.50% APY — a gap of ten basis points that widens as either the rate or the compounding frequency increases. On a $10,000 deposit that difference is worth about $10 over a year, which sounds trivial until you compare two offers where one is quoted as APR and the other as APY and assume they are equivalent. They are not. Regulation DD requires US institutions to disclose APY precisely so that offers can be compared on a single consistent number.

Why do banks advertise APY instead of APR on CDs?

Two reasons, and only one of them is marketing. Regulation DD, the Truth in Savings rule at 12 CFR Part 1030, requires US institutions to disclose APY on deposit accounts, so it is a legal obligation rather than a choice. The reason the rule exists is that APY is genuinely the more useful figure: it folds compounding frequency into one number, so a CD paying 4.40% compounded daily and one paying 4.50% compounded annually can be compared directly — they are both 4.50% APY and identical for a saver. The marketing benefit is real too, since APY is always the higher of the two figures on an account compounding more than once a year. On $10,000 over a year the difference is around $10, so the advertising advantage is smaller than the comparability benefit.

CD APR Calculator

حوّل APY المعلن للشهادة إلى APR المقابل له.

Convert a CD's advertised APY back to its nominal APR and see exactly what compounding is contributing.

عند الاستحقاق: ‏١٠٬٤٦٠٫٠٠ US$
الفائدة: ‏٤٦٠٫٠٠ US$

شهادة الإيداع الخاصة بك

مبلغ الإيداع

معدل الفائدة

المعدل معروض كـ

المدة

1 سنة

المدد الشائعة

دورية احتساب الفائدة المركبة

القيمة عند الاستحقاق: ‏١٠٬٤٦٠٫٠٠ US$
إجمالي الفائدة المكتسبة: ‏٤٦٠٫٠٠ US$
المعدل الاسمي APR: ٤٫٥٠%

‏١٠٬٠٠٠٫٠٠ US$ في شهادة إيداع لمدة 1 سنة بمعدل ٤٫٦٠% APY، بفائدة مركبة يومي، تنمو إلى ‏١٠٬٤٦٠٫٠٠ US$ — أي ‏٤٦٠٫٠٠ US$ من الفائدة، بمتوسط ‏٣٨٫٣٣ US$ شهريًا.

الرصيد خلال المدة

أصل المبلغالفائدة

عرض الأرقام في جدول

الرصيد خلال المدة
الشهر	أصل المبلغ	الفائدة	الرصيد
عند الفتح	‏١٠٬٠٠٠٫٠٠ US$	‏٠٫٠٠ US$	‏١٠٬٠٠٠٫٠٠ US$
2mo	‏١٠٬٠٠٠٫٠٠ US$	‏٧٥٫٢٤ US$	‏١٠٬٠٧٥٫٢٤ US$
5mo	‏١٠٬٠٠٠٫٠٠ US$	‏١٨٩٫١٦ US$	‏١٠٬١٨٩٫١٦ US$
7mo	‏١٠٬٠٠٠٫٠٠ US$	‏٢٦٥٫٨٢ US$	‏١٠٬٢٦٥٫٨٢ US$
10mo	‏١٠٬٠٠٠٫٠٠ US$	‏٣٨١٫٨٩ US$	‏١٠٬٣٨١٫٨٩ US$
1y	‏١٠٬٠٠٠٫٠٠ US$	‏٤٦٠٫٠٠ US$	‏١٠٬٤٦٠٫٠٠ US$

Calculated in your browser using A = P(1 + r/n)^nt. Nothing is sent to a server. Figures are before tax; confirm exact terms with your bank.

مجاني — بدون تسجيل
يتحدّث أثناء الكتابة
يعمل في متصفحك

آخر مراجعة للمعادلات والمحتوى ٢١ يوليو ٢٠٢٦. أسعار البنوك تتغيّر باستمرار — تأكّد من الأسعار الحالية مباشرةً مع مؤسستك المالية.

الإجابة المختصرة

كيف تحسب APR على شهادة CD؟

A CD's APR is its nominal annual rate before compounding — the rate actually applied at each compounding period — and it converts from APY as APR = n × ((1 + APY)^(1/n) − 1). A 4.60% APY compounded daily corresponds to a 4.50% APR. You need this conversion whenever a bank quotes you a nominal or "interest rate" figure rather than APY, because entering a nominal rate into a calculator expecting APY applies compounding twice and overstates your return. It also matters when comparing a CD against a product quoted in APR, such as a loan you might otherwise pay down. APR is always the lower of the two numbers on any account compounding more than once a year, which is why marketing leads with APY, and why Regulation DD makes APY the required disclosure.

المعادلة والطريقة

كيف تُحتسب

APR = n × ((1 + APY)^(1/n) − 1)

Strips the compounding effect back out of an advertised yield.

APR: Nominal annual rate, before compounding
APY: Advertised annual percentage yield, as a decimal
n: Compounding periods per year

خطوة بخطوة

1
Convert the advertised APY to a decimal (4.60% → 0.046).
2
Add 1 to get the annual growth factor.
3
Take the n-th root — raise it to the power of 1 ÷ n.
4
Subtract 1 to get the rate for a single compounding period.
5
Multiply by n and by 100 for the annualised nominal rate.

دليل الاستخدام

كيفية استخدام هذه الحاسبة

أربعة مدخلات ونتائج فورية. لا شيء ترسله ولا تسجيل مطلوب.

1
Enter the advertised rate
Type the bank's quoted figure and set the toggle to APY, which is how deposit rates are normally published.
2
Match the compounding frequency
This drives the conversion. Daily compounding creates the largest gap between APY and APR.
3
Read both rates
The result card shows APY and APR together, so you can see precisely what compounding contributes.

أمثلة

أمثلة محلولة

أرقام حقيقية محلولة حتى النهاية، لتتحقق بنفسك من صحة الحاسبة مقابل أرقامك أنت.

Converting a 4.60% APY quote on a daily-compounding CD

Advertised: 4.60% APY
Compounding: Daily (n = 365)

Nominal APR: 4.50%
Contributed by compounding: 0.10 pts

The bank credits interest at a 4.50% annual rate; daily compounding is what lifts the effective yield to 4.60%.

المنهجية

الدقة والافتراضات

كل حاسبة تقوم على افتراضات. وهذه افتراضاتنا موضّحة بصراحة، لتعرف تماماً ما تشمله الأرقام وما لا تشمله.

APR here means the nominal deposit rate. On loans, APR also includes fees — that is a different calculation entirely.
The conversion assumes interest compounds at the stated frequency and stays in the account.
A 365-day year is used, consistent with Regulation DD.

تتبع الأعراف المعتمدة هنا قاعدة Regulation DD (12 CFR 1030)، وهي التي تحكم كيفية إفصاح المؤسسات الأمريكية عن APY على حسابات الودائع. والودائع لدى المؤسسات المؤمَّنة محمية من FDIC حتى $250,000 لكل مودع، ولكل بنك، ولكل فئة ملكية.

المصادر الأولية

من أين تأتي هذه القواعد

الأعراف التي تتبعها هذه الحاسبة تضعها الجهات التنظيمية لا نحن. وكل واحدة منها ترتبط بالجهة المُصدِرة لها لتتحقق منها بنفسك بدل أن تأخذ بكلامنا.

التفاصيل

تفاصيل وقواعد أساسية

حقائق سريعة يجدر بك معرفتها قبل فتح شهادة CD أو تجديدها.

For deposits, APY > APR whenever interest compounds more than once a year. For loans the relationship is reversed in effect, because fees inflate loan APR.
If a bank quotes only an 'interest rate' with no APY label, treat it as the nominal APR and convert before comparing.
The APY–APR gap scales with the rate: about 0.01 points at 1%, roughly 0.13 points at 5%.
If your CD pays interest out monthly rather than compounding it, your realised return matches the APR, not the APY.

كيف ترتبط ببعضها

مفاهيم وحاسبات ذات صلة

تعمل CD APR Calculator جنباً إلى جنب مع هذه الأدوات ذات الصلة، ويغطي كل منها جزءاً واحداً من صورة شهادات CD تغطيةً كاملة.

التطبيقات

لمن هذه الحاسبة

Detail-oriented savers
You want to know the mechanics behind the advertised number rather than take it at face value.
Spreadsheet modellers
You are building your own projection and need the nominal rate to feed a period-by-period model.

أدوات ذات صلة

كل حاسبات CD

تسع أدوات مركّزة تغطي صورة شهادات الإيداع كاملةً.

الأسئلة الشائعة

أسئلة شائعة حول CD APR Calculator

إجابات مباشرة عن الأسئلة الأكثر تكراراً حول هذه العملية الحسابية. والمزيد في مركز الأسئلة الشائعة.

APR = n × ((1 + APY)^(1/n) − 1), where APY is the quoted yield as a decimal and n is the number of compounding periods per year. It converts an effective annual yield back into the nominal rate that is actually applied at each compounding period. A 4.60% APY compounded daily corresponds to a 4.50% APR. You need this conversion whenever a bank hands you an APY but a calculator, a spreadsheet or a comparison expects a nominal rate — entering an APY where a nominal rate belongs applies compounding a second time and overstates the result. APR is always the lower of the two figures on any account compounding more than once a year, and the gap widens as the rate and the compounding frequency rise. It is the rate the bank works with internally; APY is the rate it advertises.
APY is higher on any CD that compounds more than once a year, and the two are identical only when interest compounds exactly annually. The reason is that APY includes the effect of interest earning interest, while APR is the plain nominal rate applied at each compounding period. A 4.40% APR compounded daily produces a 4.50% APY — a gap of ten basis points that widens as either the rate or the compounding frequency increases. On a $10,000 deposit that difference is worth about $10 over a year, which sounds trivial until you compare two offers where one is quoted as APR and the other as APY and assume they are equivalent. They are not. Regulation DD requires US institutions to disclose APY precisely so that offers can be compared on a single consistent number.
Two reasons, and only one of them is marketing. Regulation DD, the Truth in Savings rule at 12 CFR Part 1030, requires US institutions to disclose APY on deposit accounts, so it is a legal obligation rather than a choice. The reason the rule exists is that APY is genuinely the more useful figure: it folds compounding frequency into one number, so a CD paying 4.40% compounded daily and one paying 4.50% compounded annually can be compared directly — they are both 4.50% APY and identical for a saver. The marketing benefit is real too, since APY is always the higher of the two figures on an account compounding more than once a year. On $10,000 over a year the difference is around $10, so the advertising advantage is smaller than the comparability benefit.

الأمان والخصوصية

أرقامك لا تغادر متصفحك

كل عملية حسابية في هذا الموقع تجري بلغة JavaScript على جهازك أنت. لا حساب، ولا استدعاء للخادم، ولا تحليلات مرتبطة بالأرقام التي تدخلها.

معادلات بمعايير البنوك
تستخدم أعراف الفائدة المركبة وAPY نفسها التي تتبعها البنوك بموجب Regulation DD.
مجانية 100% وبلا تسجيل دخول
لا تسجيل، ولا جدار بريد إلكتروني، ولا اشتراك مدفوع. وكل حاسبة صالحة للاستخدام بالكامل من أول زيارة.
بياناتك لا تغادر متصفحك
كل عملية حسابية تجري على جهاز العميل بلغة JavaScript. ولا يُرسَل شيء إلى خادم ولا يُخزَّن.

يُقدَّم الموقع عبر HTTPS دون محتوى مختلط. اقرأ سياسة الخصوصية أو اطّلع على المعادلات والمنهجية التي يقوم عليها كل رقم.

See the rate behind the rate

Every advertised APY has a nominal APR underneath it. Convert yours and see exactly what compounding is adding.

Convert APY to APR العودة إلى CD Calculator