Rental Yield Formula

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

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.

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Retirement Formula

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

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.

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Salary Formula

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

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.

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Savings Goal Formula

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

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).

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Semester Grade Point Average (SGPA) Formula

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

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

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Simple Interest Formula

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

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.

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SIP Formula

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

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.

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Split Bill Formula

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

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.

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Standard Deviation & Variance Formula

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

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Statistical Mode Formula

Mathematics & Education
$$\text{Mode} = L + \left[ \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \right] \times h$$

The mode represents the specific value or continuous frequency peak that appears with the highest frequency in a statistical distribution.

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