The difference in returns between an investment compounded daily versus compounded monthly is that compounding daily results in slightly higher returns due to more frequent compounding periods, which allows for faster growth of the investment.
The main difference between daily and monthly compounding for an investment with a fixed interest rate is the frequency at which the interest is calculated and added to the investment. Daily compounding results in slightly higher returns compared to monthly compounding because interest is calculated more frequently, allowing for the compounding effect to occur more often.
If the interest is simple interest, then the value at the end of 5 years is 1.3 times the initial investment. If the interest is compounded annually, then the value at the end of 5 years is 1.3382 times the initial investment. If the interest is compounded monthly, then the value at the end of 5 years is 1.3489 times the initial investment.
The difference in coupon frequency between a monthly CD and a CD that reaches maturity is that a monthly CD pays interest monthly, while a CD that reaches maturity pays interest only when it matures.
To calculate the monthly interest rate on a loan or investment, divide the annual interest rate by 12. This will give you the monthly interest rate that is applied to the loan or investment.
The difference in frequency between monthly and semi-annual CD coupon payments is that monthly payments occur once a month, while semi-annual payments occur twice a year.
At 8% per month, compounded, it will take just 1.2 years. However, with monthly interest such that its annual compounded equivalent is 8% (roughly 0.64% each month), it will take 14.27 years.
It doesn't matter how much the original investment is. If it triples in 5 yearswith monthly compounding, then the interest rate is 22.175% (rounded)
If you need a monthly income then obviously a monthly income is better. If the monthly interest is not withdrawn then it makes no difference because the annual interest rate is usually equal to the compounded monthly rate.
8% compounded monthly is equivalent to an annual rate of approx 152% . 8.5% compounded six monthly is equivalent to "only" 17.72% so the first is clearly larger.
The main difference between daily and monthly compounding for an investment with a fixed interest rate is the frequency at which the interest is calculated and added to the investment. Daily compounding results in slightly higher returns compared to monthly compounding because interest is calculated more frequently, allowing for the compounding effect to occur more often.
Answer: 9.1% At 8.5% principal grows by (1+(.085/12))^12 = 1.0884 times in one year which is less than investing at 9.1%.
It is 0.833... recurring % if the interest is simple, or compounded annually. If compounded monthly, it is approx 0.797 %
compounded annually--$43,219 compounded quarterly--$44,402 compounded monthly-- $44,677 compounded daily--$44,812
If the interest is simple interest, then the value at the end of 5 years is 1.3 times the initial investment. If the interest is compounded annually, then the value at the end of 5 years is 1.3382 times the initial investment. If the interest is compounded monthly, then the value at the end of 5 years is 1.3489 times the initial investment.
On monthly compounding, the monthly rate is one twelfth of the annual rate. Example if it is 6% annual, compounded monthly, that is 0.5% per month.
1000 x (1.01)12 = $1126.83
14.651