UsefulFormula1400+ Useful Formulas for Everyday Life

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Savings & Budgeting

Monthly Savings

Monthly Savings = Income − Expenses
Personal Finance Savings & Budgeting
Savings & Budgeting

Emergency Fund

Emergency Fund = 6 × Monthly Expenses
Personal Finance Savings & Budgeting
Savings & Budgeting

50/30/20 Rule

50% Needs + 30% Wants + 20% Savings
Personal Finance Savings & Budgeting
Personal Finance & Money Management

Future Value of Savings

Present Value × \(1 \+ r\)^t
Personal Finance
Personal Finance & Money Management

Required Monthly Savings

Target Amount ÷ Months Left
Personal Finance
Personal Finance & Money Management

Time to Reach Goal

ln\(FV ÷ PV\) ÷ ln\(1 \+ r\)
Personal Finance
Personal Finance & Money Management

Inflation Adjusted Savings

Nominal Savings ÷ \(1 \+ Inflation Rate\)^t
Personal Finance
Personal Finance & Money Management

Real Value of Money

Nominal Value ÷ CPI
Personal Finance
Personal Finance & Money Management

Savings Rate %

\(Savings ÷ Income\) × 100
Personal Finance
Personal Finance & Money Management

Net Worth

Assets − Liabilities
Personal Finance
Personal Finance & Money Management

Loan EMI

\[P × r × \(1\+r\)^n\] ÷ \[\(1\+r\)^n − 1\]
Personal Finance
Personal Finance & Money Management

Loan Interest

Principal × Rate × Time
Personal Finance
Personal Finance & Money Management

Outstanding Loan Balance

EMI × n\_remaining
Personal Finance
Personal Finance & Money Management

Debt\-to\-Income Ratio

\(Monthly Debt Payments ÷ Monthly Income\) × 100
Personal Finance
Personal Finance & Money Management

Loan\-to\-Value Ratio \(LTV\)

Loan Amount ÷ Asset Value × 100
Personal Finance
Personal Finance & Money Management

Effective Interest Rate

\(1 \+ \(i/n\)\)^n − 1
Personal Finance
Personal Finance & Money Management

APR

\[\(Total Interest \+ Fees\) ÷ Loan Amount ÷ Years\] × 100
Personal Finance
Personal Finance & Money Management

Simple Loan Payoff Time

Debt ÷ Monthly Payment
Personal Finance
Personal Finance & Money Management

Amortization \(nth payment interest\)

Remaining Principal × Rate ÷ 12
Personal Finance
Personal Finance & Money Management

Credit Card Interest

Balance × \(APR ÷ 12\)
Personal Finance
Personal Finance & Money Management

Snowball Payoff Order

Smallest Debt → Largest
Personal Finance
Personal Finance & Money Management

Avalanche Payoff Order

Highest Interest → Lowest
Personal Finance
Personal Finance & Money Management

Debt Coverage Ratio

Net Income ÷ Total Debt Payment
Personal Finance
Personal Finance & Money Management

Balloon Payment

Loan Principal − \(EMI × Paid Installments\)
Personal Finance
Personal Finance & Money Management

Mortgage Affordability

28% × Gross Monthly Income
Personal Finance
Personal Finance & Money Management

ROI

\(Final Value − Initial Value\) ÷ Initial Value × 100
Personal Finance
Personal Finance & Money Management

CAGR

\[\(FV ÷ PV\)^\(1/t\) − 1\] × 100
Personal Finance
Personal Finance & Money Management

Dividend Yield

Annual Dividend ÷ Share Price × 100
Personal Finance
Personal Finance & Money Management

EPS

Net Income ÷ Outstanding Shares
Personal Finance
Personal Finance & Money Management

P/E Ratio

Share Price ÷ EPS
Personal Finance
Personal Finance & Money Management

Market Capitalization

Share Price × Shares Outstanding
Personal Finance
Personal Finance & Money Management

Price\-to\-Book Ratio

Share Price ÷ \(Assets − Liabilities per Share\)
Personal Finance
Personal Finance & Money Management

Sharpe Ratio

\(Portfolio Return − Risk\-Free Rate\) ÷ Std Dev
Personal Finance
Personal Finance & Money Management

Bond Yield

Annual Coupon ÷ Bond Price × 100
Personal Finance
Personal Finance & Money Management

Yield to Maturity \(YTM\) ≈ \[C \+ \(F − P\)/n\] ÷ \[\(F\+P\)/2\]

10. Yield to Maturity \(YTM\) ≈ \[C \+ \(F − P\)/n\] ÷ \[\(F\+P\)/2\]
Personal Finance
Personal Finance & Money Management

Net Asset Value \(NAV\)

\(Assets − Liabilities\) ÷ Units
Personal Finance
Personal Finance & Money Management

Alpha

Portfolio Return − Benchmark Return
Personal Finance
Personal Finance & Money Management

Beta

Covariance\(Ra,Rm\) ÷ Variance\(Rm\)
Personal Finance
Personal Finance & Money Management

Annualized Return

\(1\+Return\)^\(1/t\) − 1
Personal Finance
Personal Finance & Money Management

Rule of 72

72 ÷ Interest Rate
Personal Finance
Personal Finance & Money Management

Retirement Corpus

Annual Expense × Retirement Years × \(1\+Inflation\)^t
Personal Finance
Personal Finance & Money Management

Safe Withdrawal Rate

4% × Retirement Corpus
Personal Finance
Personal Finance & Money Management

Future Value of Annuity

P × \[\(1\+r\)^n − 1\] ÷ r
Personal Finance
Personal Finance & Money Management

Present Value of Annuity

P × \[1 − \(1\+r\)^−n\] ÷ r
Personal Finance
Personal Finance & Money Management

Pension Value

Annual Pension ÷ Discount Rate
Personal Finance
Personal Finance & Money Management

Required Retirement Savings

\(Annual Expenses − Pension\) × Years
Personal Finance
Personal Finance & Money Management

Inflation Adjusted Corpus

Corpus ÷ \(1\+Inflation\)^t
Personal Finance
Personal Finance & Money Management

Social Security Replacement Rate ≈ 40% × Final Salary

8. Social Security Replacement Rate ≈ 40% × Final Salary
Personal Finance
Personal Finance & Money Management

Annuity Payout

PV ÷ Annuity Factor
Personal Finance
Personal Finance & Money Management

Longevity Risk Buffer

25% Extra Savings
Personal Finance
Personal Finance & Money Management

Insurance Coverage Ratio

Insurance ÷ Annual Income
Personal Finance
Personal Finance & Money Management

Human Life Value \(HLV\)

Annual Income × Years Left till Retirement
Personal Finance
Personal Finance & Money Management

Premium

Coverage × Risk Factor × Term ÷ 1000
Personal Finance
Personal Finance & Money Management

Sum Assured

Annual Expenses × Years Remaining
Personal Finance
Personal Finance & Money Management

Loss Ratio

Claims Paid ÷ Premiums Collected
Personal Finance
Personal Finance & Money Management

Risk Probability

Event Frequency ÷ Total Events
Personal Finance
Personal Finance & Money Management

Expected Loss

Probability × Loss Amount
Personal Finance
Personal Finance & Money Management

Replacement Cost

Asset Value − Depreciation
Personal Finance
Personal Finance & Money Management

Premium\-to\-Income Ratio

Annual Premium ÷ Annual Income × 100
Personal Finance
Personal Finance & Money Management

Insurance Adequacy

Coverage ÷ Liabilities × 100
Personal Finance