I'm thinking of bonds when answering this question. The more frequent the compounding the better it will be for the lender. The less frequent the compounding the better it will be for the borrower. Lets use this example: Interest = 10% Principle = $1000 Compounding A = Annually Compounding B = Quarterly Time period = 2 years A) At the end of the first year $100 in interest would have been made making the balance $1100. At the end of the second year $110 would be earned because of compounding and the balance would be $1210. B) At the end of the first year $103.81 in interest would have been earned with a ending balance of $1103.81. At the end of the second year the interest earned would be $114.59 and the ending balance would be $1218.40. What I showed here is that if you are the one receiving the interest you would prefer daily compounding. When you're paying out interest you would prefer simple interest.
compounding, repetition, reproduction, recurrence, repeating,
At the end of the second period
It is 8.16%
compounding
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.
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.
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
4.0730% compounded daily3.1172% compounded monthly2.0365% compounded daily
mechanics and compounding
If the rate is 6 percent per year, then compounding daily will make no difference. If the rate is 6% per day, then 2000 dollars will be worth approx 1.0042*10^68 dollars. That is approx one hundred million trillion trillion trillion trillion trillion dollars.
I'm thinking of bonds when answering this question. The more frequent the compounding the better it will be for the lender. The less frequent the compounding the better it will be for the borrower. Lets use this example: Interest = 10% Principle = $1000 Compounding A = Annually Compounding B = Quarterly Time period = 2 years A) At the end of the first year $100 in interest would have been made making the balance $1100. At the end of the second year $110 would be earned because of compounding and the balance would be $1210. B) At the end of the first year $103.81 in interest would have been earned with a ending balance of $1103.81. At the end of the second year the interest earned would be $114.59 and the ending balance would be $1218.40. What I showed here is that if you are the one receiving the interest you would prefer daily compounding. When you're paying out interest you would prefer simple interest.
compounding of turbines is necessary to make the turbines practically controllable.If compounding is not done the size of the turbine will be huge.Hence by pressure &velocity compounding the turbine becomes small in size &its velocity is also becomes controllable.