Compounding describes how often the interest is added to the principal (the amount that is multiplied by the interest rate to determine the interest charged).
to make it easier to see i will use an extremely large annual interest rate of 365% and $1,000,000 principal.
if compounded every 4 days, after 4 days the new principal would be $1,040,000
but if compounded daily it adds 1% every day so first day would add $10,000 for $1,010,000 then the second day would add an additional $10,100 for $1,020,100 the 3rd day would add $10,201 totaling $1,030,301
the 4th day would add $10,303.01 total $1,040,604.01
so as you see in this simple example the daily compound gives more than 604 extra.
and while in reality the interest would be closer to 3.65% that would be $6 and 4 cents extra for the four days. (on a million dollar loan)
It all depends with the amount of the annual or daily compounding. In most cases it is however the daily compounding that pays more than the annual compounding.
Investors can receive compounding returns by reinvesting their earnings or dividends back into their investments. This allows their returns to compound over time, as the reinvested earnings generate more earnings on top of the original investment. Compounding returns can greatly enhance long-term investment growth.
It all depends with the amount of the annual or daily compounding. In most cases it is however the daily compounding that pays more than the annual compounding.
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%
The greater the number of compounding periods, the larger the future value. The investor should choose daily compounding over monthly or quarterly.
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The more often it is compounded the better. So daily is the best, next is weekly, monthly etc. The greater the number of compounding periods, the better it is for your bottom line.
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
Interest rate and time
4.0730% compounded daily3.1172% compounded monthly2.0365% compounded daily