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Savings Interest Rate Calculator

Calculate the interest rate needed to reach your savings goal with compound interest and additional deposits

Calculate Required Interest Rate

The target amount you want to save

Your current savings balance

How long you plan to save

How often interest compounds

Regular additional deposits

How often you make deposits

Deposit Timing

Required Interest Rate

5.976%
Annual Interest Rate
$36,000
Total Deposits
$64,000
Interest Earned

Calculation Summary

Savings Goal:$100,000
Initial Balance:$0
Time Period:30 years
Compounding:Monthly
Additional Deposit:$100 monthly
Deposit Timing:End of Period

Interest Rate Analysis

💡 Moderate rate. Consider investment accounts or diversified portfolios.

Example Calculation

Retirement Savings Example

Savings Goal: $1,000,000

Initial Balance: $10,000

Time Period: 30 years

Additional Deposit: $500 monthly

Compounding: Monthly

Required Interest Rate

Using the compound interest formula with annuity:

FV = PV(1+i)^n + PMT[((1+i)^n-1)/i]

Result: Approximately 6.97% annual interest rate needed

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Interest Rate Benchmarks

Savings Accounts0.01% - 0.50%
High-Yield Savings0.40% - 5.00%
CDs (1-5 years)1.00% - 5.50%
Bond Index Funds2.00% - 4.00%
Stock Market (Historical)7.00% - 10.00%

*Rates are approximate and vary by market conditions

Savings Tips

💡

Shop around for high-yield savings accounts

📈

Consider diversified investment portfolios for higher returns

Start early to benefit from compound interest

🎯

Automate deposits to stay consistent

💰

Increase deposits when your income grows

Understanding Savings Interest Rate Calculations

What is a Required Interest Rate?

The required interest rate is the minimum annual percentage yield (APY) your savings must earn to reach a specific financial goal within a given timeframe, considering your initial balance and additional deposits.

Why Calculate This?

  • Set realistic savings goals and timelines
  • Choose appropriate investment vehicles
  • Evaluate if your current savings strategy is adequate
  • Make informed financial planning decisions

Calculation Method

FV = PV(1+i)^n + PMT[((1+i)^n-1)/i]

Solved for interest rate 'i' using Newton-Raphson method

  • FV: Future Value (your savings goal)
  • PV: Present Value (initial balance)
  • PMT: Payment (additional deposits)
  • i: Interest rate per period
  • n: Number of compounding periods

Note: This calculator uses iterative numerical methods for accurate results when regular deposits are included.

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