quarterly in a year means 4. Therefore, 14/4 = 3.5.
So it will increase by 3.5%
4% of 2500 = 2500*4/100 = 100 Assuming there is no compounding - The above calculation is appropriate and 100 is the interest earned by Franklin at the end of one year. There are banks that offer quarterly or half yearly compounding wherein, the interest earned in the first quarter would be considered as principal in the second quarter. In that case, the calculation would vary. In the UK the quoted rate must be the annual equivalent rate which takes any compounding into account. So 4 percent annually (as stated in the question), could be 1.98% every six months, or 0.3274% every month. But at the end of one year the compounded interest must be 4%. Other countries will have different regulations.
2
150,000 per year (simple interest, no compounding)
"Continuously" is exactly how this question arrives on WikiAnswers. Someone has distributed an exam or a homework assignment with a poorly written question on it, and a lot of people are coming here to get the answer. WikiAnswers is not here to answer exam or homework questions. But the best response to this one isn't a numerical 'answer'. It's this: There's no such thing as "compounded continously", even if the spelling were corrected. The compounding interval must be specified, no matter how short it may be. Popular compounding intervals include: Annually, semi-annually, quarterly, monthly, weekly, or daily. Technically, it could even be hourly, or minutely, but it has to be specified. Compounding is a discrete process, and can never proceed "continuously".
4795.65 (approx).
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 ?
Interest of r% per quarter is equivalent to {(1+r/100)4 - 1} percent annually.
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 answer, assuming compounding once per year and using generic monetary units (MUs), is MU123. In the first year, MU1,200 earning 5% generates MU60 of interest. The MU60 earned the first year is added to the original MU1,200, allowing us to earn interest on MU1,260 in the second year. MU1,260 earning 5% generates MU63. So, MU60 + MU63 is equal to MU123. The answers will be different assuming different compounding periods as follows: Compounding Period Two Years of Interest No compounding MU120.00 Yearly compounding MU123.00 Six-month compounding MU124.58 Quarterly compounding MU125.38 Monthly compounding MU125.93 Daily compounding MU126.20 Continuous compounding MU126.21
£765.31
Use the formula: P(1+r/n)^tn (P is 4250, r is .045, n is 4, and t is 8) ...and you will get this answer: $6,079.42 If you encounter a problem that says the account is compounding continuously, use the formula P(e)^rt
$530.60
8 percent compounded quarterly is equivalent to approx 36% annually. At that rate, after 3 years the ending balance would be 1762.72 approx.
The "13 percent rate" is the equivalent annual rate. So the interest will be 130.
1000*(1.08)6 = 1586.87.
835.00, 860.05, 885.10, 910.15, 935.20,
4% of 2500 = 2500*4/100 = 100 Assuming there is no compounding - The above calculation is appropriate and 100 is the interest earned by Franklin at the end of one year. There are banks that offer quarterly or half yearly compounding wherein, the interest earned in the first quarter would be considered as principal in the second quarter. In that case, the calculation would vary. In the UK the quoted rate must be the annual equivalent rate which takes any compounding into account. So 4 percent annually (as stated in the question), could be 1.98% every six months, or 0.3274% every month. But at the end of one year the compounded interest must be 4%. Other countries will have different regulations.