If the quarterly interest rate is r% then
(1 + r/100)28 = 3
=> (1 + r/100) = 31/28 = 1.040016 approx
=> r/100 = 0.040016 approx
so r = 4.0016% approx
$194.25 if interest is compounded annually. A little more if compounded quarterly, monthly, or daily.
1 x (1.03)40 = 3.26
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 ?
7 per cent each quarter is equivalent to 31.08% over one year. At that rate 300 dollars would be worth 393.24 dollars.
A= Principle amount(1+ (rate/# of compounded periods))(#of compounding periods x # of years)
$194.25 if interest is compounded annually. A little more if compounded quarterly, monthly, or daily.
8 percent compounded quarterly is equivalent to approx 36% annually. At that rate, after 3 years the ending balance would be 1762.72 approx.
1 x (1.03)40 = 3.26
It would earn more if interest were compounded quarterly but any lender will adjust the quarterly rate so that you get the same! For example, a 5% annual rate is equivalent to a rate of 4.9089% per quarter. This is one reason that some countries require the publication of Annual Equivalent Rates to enable investors to compare such differences.
The answer will depend on whether the 8% refers to a quarterly rate or an annual equivalent rate.5 years = 5*4 = 20 quarters.At a quarterly rate, it is 2000*(1.08)20?= 9321.66 approx.At an annual equivalent rate of 8% (that is 1.94% per quarter), ?the total is 938.66 approx.?The answer will depend on whether the 8% refers to a quarterly rate or an annual equivalent rate.5 years = 5*4 = 20 quarters.At a quarterly rate, it is 2000*(1.08)20?= 9321.66 approx.At an annual equivalent rate of 8% (that is 1.94% per quarter), ?the total is 938.66 approx.?The answer will depend on whether the 8% refers to a quarterly rate or an annual equivalent rate.5 years = 5*4 = 20 quarters.At a quarterly rate, it is 2000*(1.08)20?= 9321.66 approx.At an annual equivalent rate of 8% (that is 1.94% per quarter), ?the total is 938.66 approx.?The answer will depend on whether the 8% refers to a quarterly rate or an annual equivalent rate.5 years = 5*4 = 20 quarters.At a quarterly rate, it is 2000*(1.08)20?= 9321.66 approx.At an annual equivalent rate of 8% (that is 1.94% per quarter), ?the total is 938.66 approx.?
Approx 44.225 % The exact value is 100*[3^(1/3) - 1] %
Since the annual interest rate is given, the fact that the interest is calculated and compounded quarterly is not relevant. The interest is 750000*2.5/100 = 18750 pesos.
y = ln(3)/ln(1.0575) = 19.65 years, approx.
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
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.
Compounded annually: 2552.56 Compounded monthly: 2566.72
The definition of periodic interest rate is an interest rate figured over a specific time frame. Compound interest is also figured on a specific time frame. For instance, some interest is compounded quarterly, some is compounded annually or semi-annually, or even monthly.