With only one year the value is 11600
What is the future value of $1,200 a year for 40 years at 8 percent interest? Assume annual compounding.
Principal amount 5,000 Interest rate 9 percent per year = 0.09 Continuous compounding Number of years 7 Future value = P e^rt Future value = (5000) e^(0.09)(7) Amount after 7 years = $9,388.05
$14,693.28
1 x (1.03)40 = 3.26
For compound interest F = P*(1 + i)^n. Where P is the Present Value, i is the interest rate per compounding period, and n is the number of periods, and F is the Future Value.F = (9000)*(1 + .08)^5 = 13223.95 and the amount of interest earned is 13223.95 - 9000 = 4223.95
What is the future value of $1,200 a year for 40 years at 8 percent interest? Assume annual compounding.
Principal amount 5,000 Interest rate 9 percent per year = 0.09 Continuous compounding Number of years 7 Future value = P e^rt Future value = (5000) e^(0.09)(7) Amount after 7 years = $9,388.05
No, the future value of an investment does not increase as the number of years of compounding at a positive rate of interest declines. The future value is directly proportional to the number of compounding periods, so as the number of years of compounding decreases, the future value of the investment will also decrease.
The compound interest formula is FV = P(1+i)^n where FV = Future Value P = Principal i = interest rate per compounding period n = number of compounding periods. Here you will need to calculate i by dividing the nominal annual interest rate by the number of compounding periods per year (that is, i = 4%/12). Also, if the money is invested for 8 years and compounds each month, there will be 8*12 compounding periods. Just plug the numbers into the formula. You can do it!
$14,693.28
$1480.24
Yes
1 x (1.03)40 = 3.26
The formula for calculating the future value of compound interest bonds is: FV PV (1 r)n, where FV is the future value, PV is the present value, r is the interest rate, and n is the number of compounding periods.
To use the compound interest calculator in Google Sheets, you can input the initial investment amount, the annual interest rate, the number of compounding periods per year, and the number of years you plan to invest for. The formula to calculate compound interest is A P(1 r/n)(nt), where A is the future value of the investment, P is the principal amount, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years. By entering these values into the appropriate cells in Google Sheets and using this formula, you can calculate the growth of your investments over time.
Compounding finds the future value of a present value using a compound interest rate. Discounting finds the present value of some future value, using a discount rate. They are inverse relationships. This is perhaps best illustrated by demonstrating that a present value of some future sum is the amount which, if compounded using the same interest rate and time period, results in a future value of the very same amount.
"Compounded continuously" is a meaningless phrase ... we hope your bank or broker didn't quote it to you that way. In order to calculate a future value, you absolutely have to know how often the compounding takes place ... annually, daily, hourly, etc. ? The best compounding you're going to see is 'daily', so let's do it that way. If the actual compounding is any less frequent than 'daily', the actual value will be less than what we're about to calculate: 5 percent annual interest rate = (5/365) = 0.0136986 percent daily (rounded). (1.000136986)(365 x 8) = 1.4917838 (rounded) That's the value of $1 invested at 5% compounded daily for 8 years. Your $500 would become ($500 x 1.4917838) = $745.89