EMI Formula

Finance
$$EMI = P \times r \times \frac{(1 + r)^n}{((1 + r)^n - 1)}$$

An Equated Monthly Installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. The EMI is structured to pay off both the interest and the principal balance of a loan over a set period. In the early stages of the loan, a larger portion of the monthly payment goes toward interest, while in later stages, more goes toward the principal. This amortization schedule helps borrowers plan their monthly budget and track their path to debt freedom.

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EPF / PF Calculation Formula

Finance
$$\text{EPF / PF Balance}_{t} = (\text{Balance}_{t-1} + \text{Emp}_{\text{12\%}} + \text{Empr}_{\text{3.67\%}}) \times \left(1 + \frac{r}{12}\right)$$

The Employee Provident Fund (EPF or PF) calculation formula computes monthly accumulation and annual interest crediting for organised sector employees in India under EPFO rules. Employees contribute 12% of Basic + DA, matched by a 12% employer contribution (split into 8.33% for Pension EPS capped at ₹1,250 and 3.67% into EPF / PF). Monthly contributions earn interest calculated monthly and credited annually at government-notified EPFO rates.

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FD Formula

Finance
$$A = P \times \left(1 + \frac{r}{n}\right)^{nt}$$

A Fixed Deposit (FD) is a secure investment offered by banks and financial institutions where you deposit a lump sum for a fixed tenure at a guaranteed interest rate. FDs usually calculate compound interest on a quarterly basis. It offers steady, predictable growth on capital.

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Gratuity Formula

Finance
$$Gratuity = \frac{15 \times Last\ Drawn\ Salary \times Service\ Years}{26}$$

Gratuity is a lump-sum payment made by an employer to an employee as a token of appreciation for services rendered, typically after completing 5 or more years of continuous employment.

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In-Hand Take-Home Salary Formula

Finance
$$\text{In-Hand Salary} = \text{Gross Monthly Pay} - (\text{EPF} + \text{Professional Tax} + \text{ESI} + \text{Monthly TDS})$$

In-hand salary (take-home pay) is the net amount deposited into an employee bank account after statutory payroll deductions and monthly tax withholding under New or Old Tax Regimes.

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Inflation Purchasing Power Formula

Finance
$$\text{Future Value} = \text{Present Value} \times (1 + i)^n, \quad \text{Purchasing Power} = \frac{\text{Present Value}}{(1 + i)^n}$$

Inflation formulas measure how rising consumer price indices erode money purchasing power over time, calculating equivalent future cost of living requirements.

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Inflation Rate Formula

Finance
$$\text{Inflation Rate (\%)} = \left( \frac{\text{CPI}_{t} - \text{CPI}_{t-1}}{\text{CPI}_{t-1}} \right) \times 100$$

The Inflation Rate Formula calculates the percentage change in the Consumer Price Index (CPI) over a specific period, measuring price inflation and purchasing power loss.

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Lumpsum Mutual Fund Formula

Finance
$$A = P \times \left(1 + \frac{r}{n}\right)^{n \cdot t}$$

The Lumpsum Mutual Fund Formula calculates the future value of a one-time upfront investment based on compound interest. It models how capital appreciates over time when 100% of the funds compound continuously or periodically.

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Net Worth Formula

Finance
$$\text{Net Worth} = \sum \text{Total Assets} - \sum \text{Total Liabilities}$$

The Net Worth Formula calculates an individual or household's net wealth standing by taking the market value of all asset holdings and subtracting total debt obligations. A positive net worth signifies solvency, while a negative net worth indicates liabilities exceed assets.

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NPS Formula

Finance
$$\begin{aligned} A &= P \times \frac{(1 + r)^n - 1}{r} \times (1 + r) \\ \text{Pension} &= A \times \text{Annuity\%} \end{aligned}$$

The National Pension System (NPS) is a voluntary, long-term retirement savings scheme designed to enable systematic savings. Upon maturity at age 60, a portion of the corpus is paid as a lump sum, and the remaining must be invested in an annuity to provide a regular monthly pension.

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