3400*108.9%=3702.603702.60*108.9%=4032.134390.994781.795207.375670.826175.536725.157323.697975.508685.329458.3110300.1011216.8112215.1013302.2514486.1515775.4117179.4318708.39...60. 563,037.12
THe factors are the same
Future value (compounded) = P * (1 + i)^nThe caret symbol (^) means 'raise to the power of n'P is the present value (in this case $70000)n is the number of compounding periods (annual for 3 years, n=3)i is interest rate per period (12% = 0.12)FV = $70000 * (1 + 0.12)3 = $70000 * (1.404928) = $98344.96
It will take 12.75 periods.
To find the equivalent amount 1.5 years from now for $7,000 due in 8 years at a 6% interest rate compounded semiannually, we first calculate the present value of $7,000 at that point in time. The interest rate per period is 3% (6%/2), and there are 16 periods (8 years × 2). Using the present value formula ( PV = FV / (1 + r)^n ), we find the present value of $7,000 in 1.5 years (3 periods), which can be calculated as ( 7000 / (1 + 0.03)^{16} ) to find its value at that time. Finally, we calculate that present value and then determine its future value 1.5 years from now.
There is no such thing as "compounded continuously". No matter how short it may be, the compounding interval is a definite amount of time and no less.
3400*108.9%=3702.603702.60*108.9%=4032.134390.994781.795207.375670.826175.536725.157323.697975.508685.329458.3110300.1011216.8112215.1013302.2514486.1515775.4117179.4318708.39...60. 563,037.12
$5,790
THe factors are the same
Future value (compounded) = P * (1 + i)^nThe caret symbol (^) means 'raise to the power of n'P is the present value (in this case $70000)n is the number of compounding periods (annual for 3 years, n=3)i is interest rate per period (12% = 0.12)FV = $70000 * (1 + 0.12)3 = $70000 * (1.404928) = $98344.96
It will take 12.75 periods.
To find the equivalent amount 1.5 years from now for $7,000 due in 8 years at a 6% interest rate compounded semiannually, we first calculate the present value of $7,000 at that point in time. The interest rate per period is 3% (6%/2), and there are 16 periods (8 years × 2). Using the present value formula ( PV = FV / (1 + r)^n ), we find the present value of $7,000 in 1.5 years (3 periods), which can be calculated as ( 7000 / (1 + 0.03)^{16} ) to find its value at that time. Finally, we calculate that present value and then determine its future value 1.5 years from now.
If it's 12% per year, compounded annually, then it is: 100 * (1 + 0.12)-2 = 79.72
If a sum of money was invested 36 months ago at 8% annual compounded monthly,and it amounts to $2,000 today, thenP x ( 1 + [ 2/3% ] )36 = 2,000P = 2,000 / ( 1 + [ 2/3% ] )36 = 1,574.51
For compound interest F = P*(1 + i)^n. Where P is the Present Value, i is the interest rate per compounding period, and n is the number of periods, and F is the Future Value.F = (9000)*(1 + .08)^5 = 13223.95 and the amount of interest earned is 13223.95 - 9000 = 4223.95
Periods are horizontal rows. 7 periods are present in modern periodic table.
After 1 year, you would have 2,500 * 1.03 = 2,575. After the 2nd year you would have 2,575 * 1.03 = 2,652.25. After the 3rd year you would have 2,652.25 * 1.03 = 2731.8175 or rounded to $2,731.82. The formula for this is FV = PV * (1+i)^n, where FV = future value, PV = present value, i = interest rate per compounding period, and n = number of periods.