Continuously compounded interest is interest that is constantly being calculated and added to a balance. It can be calculated using the formula, A=Pe Rt. A stands for the total amount, P stands for the original investment, E stands for the constant 2.7183, R stands for the interest rate as a decimal, and T stands for the number of years.
A= Principle amount(1+ (rate/# of compounded periods))(#of compounding periods x # of years)
The "13 percent rate" is the equivalent annual rate. So the interest will be 130.
compounding
Banks that offer more frequent compounding usually lower the rate so that the annual equivalent rate remains the same. So the probable answer is no difference at all. Also, for the amount of money most people have in their bank accounts, the difference would, at best, be negligible. It would, quite likely, be less than the value that they attach to the time required to calculate the difference.
it deals with bank accounts and interest (compounding interest)
Continuous compounding is the process of calculating interest and adding it to existing principal and interest at infinitely short time intervals. When interest is added to the principal, compound interest arise.
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I think most banks use daily compounding, but you could use the continuous compounding to approximate daily compounding and be off by less than 0.2%
I think most banks use daily compounding, but you could use the continuous compounding to approximate daily compounding and be off by less than 0.2%
Another answer from Apex is... compounding frequency
Nine years at 8%
Interest paid on interest previously received is the best definition of compounding interest.
To calculate annual percentage yield (APY), you need to consider the interest rate and the frequency of compounding. The formula is: APY (1 (interest rate / number of compounding periods)) number of compounding periods - 1. This formula takes into account how often the interest is compounded within a year to give a more accurate representation of the annual return on an investment.
Interest paid on interest previously received is the best definition of compounding interest.
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
The difference in the total amount of interest earned on a 1000 investment after 5 years with quarterly compounding interest versus monthly compounding interest in Activity 10.5 is due to the frequency of compounding. Quarterly compounding results in interest being calculated and added to the principal 4 times a year, while monthly compounding does so 12 times a year. This difference in compounding frequency affects the total interest earned over the 5-year period.
A= Principle amount(1+ (rate/# of compounded periods))(#of compounding periods x # of years)