Mathematical & Financial Formula Hub

Real Estate

Verified

Rental Yield Formula

$$\begin{aligned} \text{Gross Yield} &= \frac{\text{Annual Rent}}{\text{Purchase Price}} \times 100 \\ \text{Net Yield} &= \frac{\text{Annual Rent} - \text{Vacancy Loss} - \text{Annual Expenses}}{\text{Purchase Price}} \times 100 \end{aligned}$$

Gross rental yield gives a quick headline return relative to purchase price, but ignores costs. Net rental yield deducts expected vacancy losses and all recurring ownership expenses (maintenance, tax, insurance) to reveal the real cash yield a landlord actually earns — the standard, more reliable metric for judging whether a rental property is a good income investment.

4 variables

Learn Formula

Finance

Verified

Retirement Formula

$$\text{Target Corpus} = \text{Annual Expenses} \times \frac{1 - (1 + i)^{-n}}{i}$$

The retirement planning formula estimates the corpus required to sustain your current lifestyle during retirement. It accounts for inflation, which increases living costs, and calculates the necessary nest egg based on a real rate of return.

4 variables

Learn Formula

Finance

Verified

Salary Formula

$$\text{Hourly Wage} = \frac{\text{Annual Salary}}{\text{Weeks per Year} \times \text{Hours per Week}}$$

The salary formula converts a salary from one frequency (hourly, weekly, monthly, annual) to another. It helps professionals evaluate the real hourly worth of their compensation packages by factoring in scheduled work hours and unpaid leave.

3 variables

Learn Formula

Finance

Verified

Savings Goal Formula

$$PMT = \frac{FV - PV \times (1 + r)^n}{\frac{(1 + r)^n - 1}{r}}$$

The Savings Goal Formula is a reverse sinking fund calculation that computes the exact recurring deposit amount (PMT) required to reach a target future financial goal (FV) within a designated timeline. It factors in starting savings balance (PV), periodic compound interest growth (r), and contribution frequency (monthly, weekly, or annually).

5 variables

Learn Formula

Finance

Verified

Security Deposit Refund & Lawful Deductions Formula

$$\text{Lawful Net Refund} = \text{Original Deposit Paid} - (\text{Unpaid Rent} + \text{Pending Utility Bills} + \text{Valid Tenant Damage Invoices})$$ $$[\text{Normal Wear \& Tear Repainting / Routine Maintenance Deductions} \equiv 0]$$

Under Indian tenancy jurisprudence and the central Model Tenancy Act 2021, a security deposit is a trust fund held by the landlord to guarantee against unpaid rent and tenant-caused damage. Landlords frequently make arbitrary deductions for routine property repainting, minor scuff marks, and normal wear-and-tear. The law establishes that capital property maintenance and ordinary weathering are the sole financial responsibility of the landlord, and deductions are legally valid only when supported by move-in comparison evidence and genuine repair tax invoices.

5 variables

Learn Formula

Mathematics & Education

Verified

Semester Grade Point Average (SGPA) Formula

$$\text{SGPA} = \frac{\sum_{i=1}^{n} (C_i \times G_i)}{\sum_{i=1}^{n} C_i}$$

Semester Grade Point Average (SGPA) measures student performance for a single academic semester by weighting letter grade points by subject credit hours.

3 variables

Learn Formula

Finance

Verified

Simple Interest Formula

$$SI = \frac{P \times R \times T}{100}$$

Simple interest is a straightforward method of calculating interest charges on a loan or investment. Unlike compound interest, simple interest is computed only on the original principal amount. The interest earned remains constant during each period.

4 variables

Learn Formula

Finance

Verified

SIP Formula

$$M = P \times \frac{(1 + i)^n - 1}{i} \times (1 + i)$$

A Systematic Investment Plan (SIP) is a disciplined approach to mutual fund investing. Instead of deploying a large lump sum, investors commit a fixed amount periodically. This formula calculates the future value of a series of regular payments made at the start of each month (an annuity due), showing how compounding builds substantial wealth over time.

4 variables

Learn Formula

Finance

Verified

Split Bill Formula

$$\text{Share} = \frac{\text{Total Bill} + \text{Tip} + \text{Tax}}{\text{Number of People}}$$

Splitting a bill calculates the individual financial share for a group of people. While equal splits distribute the total cost evenly, itemized splits allocate specific item charges to individuals, applying proportional shares of tax and tip. If some people paid upfront, the net owed or refund amount is computed from their payments.

5 variables

Learn Formula

Mathematics & Education

Verified

Standard Deviation & Variance Formula

$$\sigma = \sqrt{\frac{\sum (x_i - \mu)^2}{N}}, \quad s = \sqrt{\frac{\sum (x_i - \bar{x})^2}{n - 1}}$$ me

Standard deviation measures the dispersion or spread of data points relative to their mean average. A low standard deviation indicates values cluster close to the mean.

3 variables

Learn Formula