finance calculator

Savings Calculator

Forecast savings growth and monthly deposits needed to reach a goal.

Formula Verified by Dr. Elizabeth Vance, PhD

Quick actions: Save inputs, view saved runs, print, share, or export results

Saved Runs

Inputs

Starting balance$

Monthly deposit$

Annual interest rate%

Time horizon (years)

Results

Projected savings balance

$25,995

Total deposits$23,000

Estimated interest earned$2,995

Savings period60 months

Bookmark this Savings Calculator

Save this tool to recalculate timelines when savings goals, interest rates (APY), or monthly deposits change.

Formula

Savings growth with monthly deposits

Balance after each month = previous balance × (1 + monthly rate) + monthly deposit

The savings calculator compounds the current balance monthly and adds the planned deposit at the end of each month. Total deposits and interest earned are separated for clarity.

Step by step

How the calculation works

1Start with the current savings balance.
2Convert the annual interest rate into a monthly rate.
3Compound the balance once per month and add the monthly deposit.
4Compare the final balance with total deposits to estimate interest earned.

Example

Example savings goal

With $5,000 saved, $300 added monthly, and a 4% annual rate for 5 years, the calculator shows the projected ending balance plus how much came from deposits versus interest.

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Compound Interest Calculator

Model compound growth with deposits and time.

How to understand and use this calculator

Building a Financial Buffer: Emergency Funds and Goals

Savings represent the foundation of personal financial security. The primary goal of savings is short-term liquidity: having cash readily available for emergency reserves, home down payments, or major upcoming purchases.

Lenders and financial planners recommend maintaining an Emergency Fund of 3 to 6 months of essential living expenses. This fund acts as insurance against job losses, medical emergencies, or home repairs, protecting you from taking on high-interest debt.

The Compounding Math of Savings Accounts

Savings accounts compound interest on a regular schedule, typically monthly or daily. The interest rate is expressed as an Annual Percentage Yield (APY), which reflects the total amount of interest you will earn in a year including compounding.

$$\text{Monthly Interest} = B_{\text{prior}} \times \frac{\text{APY}}{12}$$

Each month, your interest is added to the principal, and your next deposit is added. Over time, the earned interest expands, accelerating your progress toward your target savings goal.

High-Yield Savings Accounts (HYSA) vs. Standard Accounts

Where you save matters. Traditional brick-and-mortar banks often offer interest rates close to 0.01% on standard savings accounts. In contrast, online High-Yield Savings Accounts (HYSAs) frequently offer rates 10 to 50 times higher.

For example, saving $10,000 in a standard account earning 0.01% yields just $1 of interest per year. Saving the same $10,000 in a high-yield account earning 4.0% yields $400 in interest per year. Use this tool to calculate your potential savings rate yields.

Certificates of Deposit (CDs) and Yield Lock-ins

If you have a fixed savings goal with a defined timeline (e.g., buying a car in 12 months), you can lock in a yield using a Certificate of Deposit (CD). CDs pay a guaranteed interest rate in exchange for keeping your cash locked for a set term. Withdrawals before the maturity date trigger early withdrawal interest penalties.

Related concepts

HYSA

High-Yield Savings Account: a variable-rate account paying significantly higher yields than standard bank accounts.

FDIC Insurance

Federal insurance protecting bank deposits up to $250,000 per depositor against bank failure.

CD Maturity

The date on which a Certificate of Deposit term ends and you can access your funds penalty-free.

Frequently Asked Questions

What is a High-Yield Savings Account (HYSA)?+

An HYSA is a federally insured savings account (usually offered by online banks) that pays a significantly higher interest rate (APY) than traditional standard savings accounts.

How much should I keep in my emergency fund?+

Financial planners recommend keeping 3 to 6 months of essential living expenses (housing, utilities, food, debts) in a liquid, easily accessible account.

What is APY (Annual Percentage Yield)?+

APY is the real annual rate of return, taking into account the effect of compound interest. APY is the standard rate advertised by banks.

Can savings account interest rates change?+

Yes. Standard savings account and HYSA interest rates are variable and fluctuate based on macroeconomic conditions and the Federal Reserve's benchmark rates.

What is a Certificate of Deposit (CD)?+

A CD is a bank account that locks your money for a fixed term (e.g., 6 months to 5 years) in exchange for a guaranteed interest rate, charging penalties for early withdrawals.

Are online savings accounts safe?+

Yes, as long as the bank is insured by the FDIC (Federal Deposit Insurance Corporation) for banks or NCUA for credit unions, protecting deposits up to $250,000 per depositor.

How does inflation affect my cash savings?+

If the rate of inflation is higher than your savings account's APY, your cash is losing purchasing power over time, even though the nominal dollar balance is growing.

What is the difference between checking and savings accounts?+

Checking accounts are designed for daily transactional cash (debit cards, checks, bills) and usually pay no interest. Savings accounts are designed to hold cash reserves and pay interest.

What is an early withdrawal penalty?+

A fee charged by a financial institution if you withdraw funds from a CD before its maturity date, typically equal to a set number of months of interest.

How does daily compounding work on savings accounts?+

The bank calculates interest daily (APY / 365) based on your daily balance and adds the accumulated interest to your principal balance at the end of the monthly cycle.

How to understand and use this calculator

Building a Financial Buffer: Emergency Funds and Goals

The Compounding Math of Savings Accounts

$$\text{Monthly Interest} = B_{\text{prior}} \times \frac{\text{APY}}{12}$$

Each month, your interest is added to the principal, and your next deposit is added. Over time, the earned interest expands, accelerating your progress toward your target savings goal.

High-Yield Savings Accounts (HYSA) vs. Standard Accounts

Certificates of Deposit (CDs) and Yield Lock-ins

Related concepts

HYSA

High-Yield Savings Account: a variable-rate account paying significantly higher yields than standard bank accounts.

FDIC Insurance

Federal insurance protecting bank deposits up to $250,000 per depositor against bank failure.

CD Maturity

The date on which a Certificate of Deposit term ends and you can access your funds penalty-free.

Frequently Asked Questions

What is a High-Yield Savings Account (HYSA)?+

An HYSA is a federally insured savings account (usually offered by online banks) that pays a significantly higher interest rate (APY) than traditional standard savings accounts.

How much should I keep in my emergency fund?+

Financial planners recommend keeping 3 to 6 months of essential living expenses (housing, utilities, food, debts) in a liquid, easily accessible account.

What is APY (Annual Percentage Yield)?+

APY is the real annual rate of return, taking into account the effect of compound interest. APY is the standard rate advertised by banks.

Can savings account interest rates change?+

Yes. Standard savings account and HYSA interest rates are variable and fluctuate based on macroeconomic conditions and the Federal Reserve's benchmark rates.

What is a Certificate of Deposit (CD)?+

A CD is a bank account that locks your money for a fixed term (e.g., 6 months to 5 years) in exchange for a guaranteed interest rate, charging penalties for early withdrawals.

Are online savings accounts safe?+

Yes, as long as the bank is insured by the FDIC (Federal Deposit Insurance Corporation) for banks or NCUA for credit unions, protecting deposits up to $250,000 per depositor.

How does inflation affect my cash savings?+

If the rate of inflation is higher than your savings account's APY, your cash is losing purchasing power over time, even though the nominal dollar balance is growing.

What is the difference between checking and savings accounts?+

Checking accounts are designed for daily transactional cash (debit cards, checks, bills) and usually pay no interest. Savings accounts are designed to hold cash reserves and pay interest.

What is an early withdrawal penalty?+

A fee charged by a financial institution if you withdraw funds from a CD before its maturity date, typically equal to a set number of months of interest.

How does daily compounding work on savings accounts?+

The bank calculates interest daily (APY / 365) based on your daily balance and adds the accumulated interest to your principal balance at the end of the monthly cycle.

Savings Calculator

Inputs

Results

Bookmark this Savings Calculator

Savings growth with monthly deposits

How the calculation works

Example savings goal

Learn more about this calculation

Compound Interest: Formula, Examples, and Calculator

Emergency Fund Planning: How Much Cash to Keep

Inflation and Savings Guide: Purchasing Power, Real Return, and Cash Drag

HSA Tax Savings Calculator

Compound Interest Calculator

Savings Calculator

Inputs

Results

Bookmark this Savings Calculator

Key output metrics

Deposits vs interest

Savings growth timeline

How to understand and use this calculator

Building a Financial Buffer: Emergency Funds and Goals

The Compounding Math of Savings Accounts

High-Yield Savings Accounts (HYSA) vs. Standard Accounts

Certificates of Deposit (CDs) and Yield Lock-ins

Related concepts

Frequently Asked Questions

Savings growth with monthly deposits

How the calculation works

Example savings goal

Learn more about this calculation

Compound Interest: Formula, Examples, and Calculator

Emergency Fund Planning: How Much Cash to Keep

Inflation and Savings Guide: Purchasing Power, Real Return, and Cash Drag

HSA Tax Savings Calculator

Compound Interest Calculator

Key output metrics

Deposits vs interest

Savings growth timeline

How to understand and use this calculator

Building a Financial Buffer: Emergency Funds and Goals

The Compounding Math of Savings Accounts

High-Yield Savings Accounts (HYSA) vs. Standard Accounts

Certificates of Deposit (CDs) and Yield Lock-ins

Related concepts

Frequently Asked Questions