An annual rate of 6.4% compounded quarterly means 1.6% (6.4/4) every 3 months (12/4). A period of 7 years is equivalent to 28 (7 x 4) compounding periods. Let say that the account balance is N dollars, so
N = 3,000(1.016)^28 (100% + 1.6% = 1.016)
N = $4,678.914
the last word is principal
(1 + .07/4)4x = 3 4x log(1+.07/4) = log(3) x = 0.25 log(3)/log(1.0175) = 15.83 The amount of the original investment doesn't matter. At 7% compounded quarterly, the value passes triple the original amount with the interest payment at the end of the 16th year.
It is 3884.97 dollars.
1282.5
balls
At the end of the year the interest is deposited in the account. The next year the interest is figured on the principal plus last year's interest.
Quarterly compounding means 1/4 of the annual interest rate is paid 4 times a year.In 6 years, you get 2.5 percent 24 times.(1.025)24 = 1.80873 (rounded)Your $12,000 has then grown to (12,000 x 1.80873) = $21,704.71 .Can I send you some money to add to the account for me ?
8 percent compounded quarterly is equivalent to approx 36% annually. At that rate, after 3 years the ending balance would be 1762.72 approx.
It means that the interest is paid out every three months (quarter year). That means that the interest paid out after 3 months is earning interest for the remaining nine months. The quarterly interest rate is such that this compounding is taken into account for the "headline" annual rate. As a result, if the quarterly interest is taken out, then the total interest earned in a year will be slightly less than the quoted annual rate.
$16,105.10 if compounded yearly, $16,288.95 if compounded semi-annually, $16,386.16 if compounded quarterly, $16,453.09 if compounded monthly, and $16,486.08 if compounded daily.
835.00, 860.05, 885.10, 910.15, 935.20,
It depends on the compounding frequency of the rate of interest earned on your bank account. Some banks compound the interest yearly and some do it quarterly. If the interest is compounded every year you will have 973.44 at the end of 2 years.
the last word is principal
(1 + .07/4)4x = 3 4x log(1+.07/4) = log(3) x = 0.25 log(3)/log(1.0175) = 15.83 The amount of the original investment doesn't matter. At 7% compounded quarterly, the value passes triple the original amount with the interest payment at the end of the 16th year.
The interest is said to be compounded quarterly when compound interest is paid four times a year, and the compounding period is three months. After t years, the balance A, in an account with principal P and rate r (in decimal form) is given by the formula A = P(1 + r/n)nt In our case P = 2,800, r = 7% = 0.07, n = 4, and t = 1 year, so we have: A = P(1 + r/n)nt A = 2,800(1 + 0.07/4)(4)(1) ≈ 3,001.21 The balance after one year is 3,001.21
$11,573.02 if you deposit at the beginning of the quarter or $11,444.27 if you deposit at the end of the quarter
£765.31