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Day Count Convention30360 calculator

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Legal & Compliance

Day Count Convention30360 Calculator

Calculate day counts and accrued interest using 30/360 US, 30E/360, and 30E/360 ISDA conventions. Compare results across different day count methods.

Last updated: December 2025Reviewed by NovaCalculator Legal Editorial Team

Calculator

Adjust values & calculate
$100,000.00
5.5%
30/360 US Day Count
180 Days
Actual calendar days: 182
30/360 Interest
$2,750.00
Actual/365 Interest
$2,742.47
Actual/360 Interest
$2,780.56
Year Fraction (30/360)
0.500000
Year Fraction (Act/365)
0.498630
Year Fraction (Act/360)
0.505556
Daily Rate (30/360)
0.015278%
Daily Rate (Act/365)
0.015068%
Interest Difference (30/360 vs Actual/365)
$7.53
Note: Always confirm the specific day count convention in your bond indenture, loan agreement, or swap confirmation document. Different conventions can produce materially different interest amounts.
Your Result
30/360 Days: 180 | Actual Days: 182 | Interest: $2,750.00
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Understand the Math

Formula

Days = 360(Y2-Y1) + 30(M2-M1) + (D2-D1); Interest = Principal x Rate x (Days/360)

The 30/360 formula counts the number of days between two dates assuming 30-day months and 360-day years. The adjusted day values (D1, D2) depend on the specific convention variant. Interest is then calculated as principal multiplied by the annual rate multiplied by the year fraction.

Last reviewed: December 2025

Worked Examples

Example 1: Corporate Bond Accrued Interest

Calculate accrued interest on a $100,000 bond at 5.5% from January 15, 2024 to July 15, 2024 using 30/360 US convention.
Solution:
Day count = 360(0) + 30(7-1) + (15-15) = 180 days Year fraction = 180/360 = 0.500000 Accrued interest = $100,000 x 5.5% x 0.5 = $2,750.00 Actual days = 182 (leap year) Actual/365 interest = $100,000 x 5.5% x 182/365 = $2,742.47
Result: 30/360: $2,750.00 | Actual/365: $2,742.47 | Difference: $7.53

Example 2: Short Period Interest Calculation

Calculate interest on $250,000 at 4.25% from March 15 to April 30, 2024 using 30E/360.
Solution:
Under 30E/360: d1=15, d2=30 (April 30 stays 30) Day count = 360(0) + 30(4-3) + (30-15) = 45 days Year fraction = 45/360 = 0.125 Interest = $250,000 x 4.25% x 0.125 = $1,328.13 Actual days = 46 Actual/365 = $250,000 x 4.25% x 46/365 = $1,338.36
Result: 30E/360: $1,328.13 | Actual/365: $1,338.36 | Difference: $10.23
Expert Insights

Background & Theory

The Day Count Convention30360 Calculator applies the following established principles and formulas. Legal and compliance calculations form the quantitative backbone of risk management across every industry. Statute of limitations periods define the window within which legal action must be initiated; missing these deadlines extinguishes claims permanently regardless of their merit. Periods vary widely by jurisdiction and claim type: contract disputes typically allow 3-6 years, personal injury claims 2-3 years, and written contracts may allow up to 10 years in some states. Calculating expiry dates requires identifying the triggering event, applying the statutory period, and accounting for tolling provisions that pause the clock during minority, incapacity, or fraudulent concealment. Employment law generates substantial calculation requirements. The Fair Labor Standards Act mandates overtime pay at 1.5 times the regular rate for hours worked beyond 40 in a workweek. Regular rate calculation is not simply the hourly wage; it must incorporate non-discretionary bonuses, shift differentials, and commissions, divided by total hours worked. Workers' compensation premiums are computed as payroll divided by 100, multiplied by the applicable class code rate, adjusted by an experience modification factor reflecting the employer's historical claims. GDPR and similar data privacy regulations impose specific retention and deletion timelines. Personal data may not be kept longer than necessary for its original purpose, requiring organisations to maintain deletion schedules and document the legal basis for each data category. Regulatory filing deadlines in financial services, environmental compliance, and healthcare are typically expressed in business days, necessitating accurate weekday and holiday calendars. Legal cost-benefit analysis quantifies litigation risk by multiplying potential damages by probability of adverse judgment, comparing expected loss against settlement or compliance investment. Liability insurance premiums reflect actuarial assessments of this expected loss, modified by coverage limits, deductibles, and risk management practices. Compliance programmes that demonstrably reduce violation probability directly reduce premium costs and regulatory exposure.

History

The history behind the Day Count Convention30360 Calculator traces back through the following developments. The formalisation of legal obligations through written codes began with the Code of Hammurabi around 1754 BCE in ancient Babylon. Carved onto a basalt stele, it established 282 laws governing commerce, property, and personal conduct, notably applying proportional penalties based on social status. The principle that legal consequences follow determinable formulas rather than arbitrary judgment traces directly to this tradition. Roman law provided the systematic framework that shaped Western legal systems. The Twelve Tables (450 BCE) codified customary law for public access, and the Corpus Juris Civilis compiled by Emperor Justinian in 529-534 CE synthesised centuries of legal development into an authoritative reference that influenced European jurisprudence for a millennium. Magna Carta in 1215 established the revolutionary principle that even monarchs were subject to law, laying the groundwork for due process, proportional punishment, and the right to a fair hearing. English common law evolved through judicial decisions rather than codification, creating a precedent-based system that spread through British colonisation to become the legal foundation of the United States, Canada, Australia, and India. The Napoleonic Code of 1804 revived the Roman codification tradition, systematising French civil law and inspiring legal reforms across continental Europe, Latin America, and parts of Africa. Its clear structure influenced how modern compliance regulations are drafted. The New Deal era of the 1930s dramatically expanded the American regulatory state, creating agencies like the SEC, NLRB, and FDA with broad rulemaking authority. This expansion made compliance a distinct professional discipline. The Sarbanes-Oxley Act of 2002, passed in response to Enron and WorldCom scandals, institutionalised compliance functions within public companies by mandating internal controls, audit committees, and executive certification of financial statements. GDPR's implementation in 2018 similarly professionalised data protection compliance globally, creating an entirely new category of compliance calculation centred on data lifecycle management.

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Frequently Asked Questions

The 30/360 day count convention is a method used in finance to calculate accrued interest on bonds and loans by assuming every month has exactly 30 days and every year has exactly 360 days. This simplification makes interest calculations more predictable and easier to compute than counting actual calendar days. The convention is widely used in US corporate and municipal bond markets, mortgage-backed securities, and many fixed-income instruments. Under this method, a six-month period always equals 180 days regardless of whether months have 28, 29, 30, or 31 actual days. This standardization allows consistent interest accrual across different calendar periods and simplifies settlement calculations between bond traders.
The 30/360 convention is standard for US corporate bonds, agency bonds, municipal bonds, and many mortgage products. It is the default for most fixed-rate instruments in the US market. The Actual/365 convention (also called Actual/Fixed) counts the real number of days between dates and divides by 365, making it common for US Treasury bonds, UK government gilts, and many money market instruments. The Actual/360 convention is standard for money markets, LIBOR-based instruments, and commercial paper. Euro-denominated bonds typically use Actual/Actual or 30E/360. The choice of convention is specified in the bond indenture or loan agreement and directly affects the amount of interest accrued and paid.
The 30/360 convention creates predictable interest amounts because each month is treated as exactly one-twelfth of a year. For a bond with a $100,000 face value and 6% annual coupon, the monthly accrual is exactly $500 regardless of the month length. With Actual/365, February accrues only $460.27 while a 31-day month accrues $509.59. Over full coupon periods, the differences tend to be small, but they become significant for odd first or last coupon periods, accrued interest calculations at bond settlement, and partial period interest on loans. When buying a bond between coupon dates, the accrued interest calculation using 30/360 versus actual day count can differ by tens or hundreds of dollars on large positions.
You may use the results for reference and educational purposes. For professional reports, academic papers, or critical decisions, we recommend verifying outputs against peer-reviewed sources or consulting a qualified expert in the relevant field.
All calculations use established mathematical formulas and are performed with high-precision arithmetic. Results are accurate to the precision shown. For critical decisions in finance, medicine, or engineering, always verify results with a qualified professional.
No. All calculations run entirely in your browser using JavaScript. No data you enter is ever transmitted to any server or stored anywhere. Your inputs remain completely private.
Educational Note: This calculator is provided for educational and informational purposes. Results are based on the formulas and inputs provided. Always verify important calculations independently. NovaCalculator processes calculator inputs client-side; optional analytics follow visitor consent settings.Reviewed by: NovaCalculator Legal Editorial Team โ€” Reviewed against publicly available legal references. Last reviewed: December 2025. ยฉ 2024โ€“2026 NovaCalculator.

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Formula

Days = 360(Y2-Y1) + 30(M2-M1) + (D2-D1); Interest = Principal x Rate x (Days/360)

The 30/360 formula counts the number of days between two dates assuming 30-day months and 360-day years. The adjusted day values (D1, D2) depend on the specific convention variant. Interest is then calculated as principal multiplied by the annual rate multiplied by the year fraction.

Frequently Asked Questions

What is the 30/360 day count convention?

The 30/360 day count convention is a method used in finance to calculate accrued interest on bonds and loans by assuming every month has exactly 30 days and every year has exactly 360 days. This simplification makes interest calculations more predictable and easier to compute than counting actual calendar days. The convention is widely used in US corporate and municipal bond markets, mortgage-backed securities, and many fixed-income instruments. Under this method, a six-month period always equals 180 days regardless of whether months have 28, 29, 30, or 31 actual days. This standardization allows consistent interest accrual across different calendar periods and simplifies settlement calculations between bond traders.

When is the 30/360 convention used versus Actual/365?

The 30/360 convention is standard for US corporate bonds, agency bonds, municipal bonds, and many mortgage products. It is the default for most fixed-rate instruments in the US market. The Actual/365 convention (also called Actual/Fixed) counts the real number of days between dates and divides by 365, making it common for US Treasury bonds, UK government gilts, and many money market instruments. The Actual/360 convention is standard for money markets, LIBOR-based instruments, and commercial paper. Euro-denominated bonds typically use Actual/Actual or 30E/360. The choice of convention is specified in the bond indenture or loan agreement and directly affects the amount of interest accrued and paid.

How does the 30/360 convention affect interest payments?

The 30/360 convention creates predictable interest amounts because each month is treated as exactly one-twelfth of a year. For a bond with a $100,000 face value and 6% annual coupon, the monthly accrual is exactly $500 regardless of the month length. With Actual/365, February accrues only $460.27 while a 31-day month accrues $509.59. Over full coupon periods, the differences tend to be small, but they become significant for odd first or last coupon periods, accrued interest calculations at bond settlement, and partial period interest on loans. When buying a bond between coupon dates, the accrued interest calculation using 30/360 versus actual day count can differ by tens or hundreds of dollars on large positions.

How do I interpret the result?

Results are displayed with a label and unit to help you understand the output. Many calculators include a short explanation or classification below the result (for example, a BMI category or risk level). Refer to the worked examples section on this page for real-world context.

Can I use Day Count Convention30360 calculator on a mobile device?

Yes. All calculators on NovaCalculator are fully responsive and work on smartphones, tablets, and desktops. The layout adapts automatically to your screen size.

What inputs do I need to use Day Count Convention30360 calculator accurately?

Each field is labelled with the required unit (metric or imperial). Gather your source values before starting โ€” for example, a weight measurement in kilograms, a distance in metres, or a dollar amount โ€” and enter them exactly as measured. The formula section on this page lists every variable and explains what each represents.

References

Reviewed by Daniel Agrici, Founder & Lead Developer ยท Editorial policy