Calculate compound interest (2024)

Table of Contents
Explanation FV function FAQs

Explanation

Compound interest is a financial concept that describes how an initial investment grows over time, taking into account not only the interest earned on the initial amount but also the interest earned on the interest itself. Compound interest allows your money to grow exponentially, which makes it a powerful tool for building wealth over the long term. To calculate the effect of compound interest in Excel, you can use theFV function, which is designed to calculate the future value of an investment.

FV function

The FV function, short for "Future Value," calculates the future value of an investment taking into account a constant interest rate and optional periodic payments. The FV function uses the following syntax:

=FV(rate,nper,pmt,[pv],[type])

Each argument has the following meaning:

  • rate: The interest rate for each period.
  • nper: The number of periods.
  • pmt: The payment made each period (optional).
  • pv: The present value or initial investment.
  • [type]: Optional argument to indicate when payments are due.

To calculate compound interest in this example,we need to provide the FV function with the number of periods, the periodic payment, and the present value like this:

=FV(C6/C8,C7*C8,0,-C5)
  • rate: C6/C8 (5%/12)
  • nper: C7*C8 (10*12)
  • pmt: 0 (no payment)
  • pv: -C5 (-1000)
  • [type]: Not needed

To get the rate (which is the period rate), we divide the annual rate (5%) by the compounding periods per year (12).To get the number of periods (nper), we multiply the term in years (10) by the periods per term (12).There is no periodic payment in this example, so we use zero for pmt. Finally, we provide the present value (pv) as -1000.By convention, the present value is input as a negative value because the initial investment of $1000 "leaves your wallet" and is transferred to the bank for the investment term. Putting it all together, Excel evaluates the formula like this:

=FV(C6/C8,C7*C8,0,-C5)=FV(0.05/12,10*12,0,-1000)=FV(0.00417,120,0,-1000)=1647

TheFV function returns approximately 1647 as a final result. This is the value of a$1,000 investment, compounded monthly with a 5% annual interest rate over 10 years.

Calculate compound interest (2024)

FAQs

How do you calculate compound interest easily? ›

The daily CI formula is given as A = P (1 + r / 365)365 t, where P is the principal amount, r is the interest rate of interest in decimal form, n = 365 (it means that the amount compounded 365 times in a year), and t is the time. Here A gives the total amount (principal + interest).

What is the compound interest on $2500 at 6.75% compounded daily for 20 days? ›

Calculating this, the compound interest on $2,500 at 6.75% compounded daily for 20 days is approximately $2.79.

What will the final amount be in 4 years if $8000 is invested at 9.2% compounded monthly? ›

The final amount after 4 years of an $8,000 investment at 9.2% interest compounded monthly is $11,487.09.

What is the formula for finding the answer to a compound interest problem? ›

The basic compound interest formula A = P(1 + r/n)nt can be used to find any of the other variables.

What is the magic of compound interest? ›

When you invest, your account earns compound interest. This means, not only will you earn money on the principal amount in your account, but you will also earn interest on the accrued interest you've already earned.

How can I get compound interest fast? ›

Comparing different accounts for earning compound interest can help you decide on the best place to keep your money.
  1. High-Yield Savings Accounts. ...
  2. Money Market Accounts. ...
  3. Certificates of Deposit (CDs) ...
  4. Bonds. ...
  5. Mutual Funds. ...
  6. Real Estate Investment Trusts (REITs)

How much is $1000 worth at the end of 2 years if the interest rate of 6% is compound? ›

Basic compound interest

For other compounding frequencies (such as monthly, weekly, or daily), prospective depositors should refer to the formula below. Hence, if a two-year savings account containing $1,000 pays a 6% interest rate compounded daily, it will grow to $1,127.49 at the end of two years.

How much is $10,000 for 5 years at 6 interest? ›

Summary: An investment of $10000 today invested at 6% for five years at simple interest will be $13,000.

How long will it take to increase a $2200 investment to $10,000 if the interest rate is 6.5 percent? ›

Final answer:

It will take approximately 15.27 years to increase the $2,200 investment to $10,000 at an annual interest rate of 6.5%.

How long does it take for a deposit of $1000 to double at 8% compounded continuously? ›

For example, if an investment scheme promises an 8% annual compounded rate of return, it will take approximately nine years (72 / 8 = 9) to double the invested money.

How long will it take for $4000 to grow $9000 if invested at 7% compounded monthly? ›

Expert-Verified Answer

- At 7% compounded monthly, it will take approximately 11.6 years for $4,000 to grow to $9,000. - At 6% compounded quarterly, it will take approximately 13.6 years for $4,000 to grow to $9,000.

What is the compound interest on 10000 at 2% for 3 years? ›

10,000 at 2% per annum for 3 years. Assuming interest is compounded annually. That means Amount = Rs 10,612.08. Therefore, amount and the compound interest on Rs 10,000 at 2% per annum for 3 years are Rs 10,612.08 and Rs 612.08 respectively.

What is the secret formula for compound interest? ›

Interest Compounded for Different Years
Time (in years)AmountInterest
2P ( 1 + R 100 ) 2P ( 1 + R 100 ) 2 − P
3P ( 1 + R 100 ) 3P ( 1 + R 100 ) 3 − P
4P ( 1 + R 100 ) 4P ( 1 + R 100 ) 4 − P
nP ( 1 + R 100 ) nP ( 1 + R 100 ) n − P
1 more row

How much money will be in the account after 7 years if you deposit $6500 into an account paying 8 annual interest compounded monthly? ›

As we can see, in 7 years, you would have $11,358.24 in your account with compound interest.

How to solve compound interest problems quickly? ›

A = P (1+ r/n)nt
  1. A = Total Amount.
  2. P = Initial Principal.
  3. r = Rate of interest on which loan or deposit is disbursed.
  4. n = number of times the interest is compounded in a year. It can be monthly, half-yearly, quarterly, or yearly.
  5. t = time in years.
Nov 7, 2023

How much is $1000 worth at the end of 2 years if the interest rate of 6% is compounded daily? ›

Basic compound interest

For other compounding frequencies (such as monthly, weekly, or daily), prospective depositors should refer to the formula below. Hence, if a two-year savings account containing $1,000 pays a 6% interest rate compounded daily, it will grow to $1,127.49 at the end of two years.

What is $15000 at 15 compounded annually for 5 years? ›

The total amount of $15,000 at 15% compounded annually for 5 years will be $30,170.36 so option (B) is correct.

What will be the compound interest on $25,000 after 3 years at 12 per annum? ›

What will be the compound interest on a sum of Rs. 25000 after 3 years at the rate of 12 per cent p.a.? Rs. 10123.20.

How do you do simple compound interest? ›

Simple interest is calculated by multiplying the loan principal by the interest rate and then by the term of a loan. Compound interest multiplies savings or debt at an accelerated rate. Compound interest is interest calculated on both the initial principal and all of the previously accumulated interest.

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