The formula to calculate the present amount including compound interest is A = P(1 + r/n)nt where P is the principal amount, r is the annual rate expressed as a decimal , t is the number of years, and n is number of times per year that interest is compounded.
In the question, P = 5000, r = 0.07, t = 4, and n = 1
A = 5000(1 + 0.07)4 = 5000 x 1.074 = 5000 x 1.310796 = 6553.98
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
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
still 3 present
Assuming interest is compounded annually, the present value is 5,000 divided by 1.072 .07 is the intererst rate. The exponent is the number of years (2). So the answer is 4,367.20. After the first year, the value is 4367.20 x 1.07 = 4,672.90 Then, at the end of the second year: 4,672.90 x 1.07 = 5,000
Present value of streams can be found by dividing the streams with 4 percent interest rate for example if stream is 100 then present value will be present value = 100 / .04
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
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
40 percent
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
still 3 present
Assuming interest is compounded annually, the present value is 5,000 divided by 1.072 .07 is the intererst rate. The exponent is the number of years (2). So the answer is 4,367.20. After the first year, the value is 4367.20 x 1.07 = 4,672.90 Then, at the end of the second year: 4,672.90 x 1.07 = 5,000
Present value is the result of discounting future amounts to the present. For example, a cash amount of $10,000 received at the end of 5 years will have a present value of $6,210 if the future amount is discounted at 10% compounded annually.Net present value is the present value of the cash inflows minus the present value of the cash outflows. For example, let's assume that an investment of $5,000 today will result in one cash receipt of $10,000 at the end of 5 years. If the investor requires a 10% annual return compounded annually, the net present value of the investment is $1,210. This is the result of the present value of the cash inflow $6,210 (from above) minus the present value of the $5,000 cash outflow. (Since the $5,000 cash outflow occurred at the present time, its present value is $5,000.)
Present value of streams can be found by dividing the streams with 4 percent interest rate for example if stream is 100 then present value will be present value = 100 / .04
The basic equation for compounded interest is: FV=PV(1+i)^nt FV=future value PV=present value i=interest compounded per term n=number of times compounded per year t=number of years For this situation: FV=? PV=8000 i=.08 n=1 t=7 Plugging the numbers into the equations gives you FV=8000(1+.08)^7 Solving gives you the amount of 13710.59 A way to roughly check your answer is to use the rule of 72. The rule of 72 is a method of seeing how long it would take to double ones money at a certain interest percent. The interest is 8% so divide 72 by 8 and you get 9. So at 8 percent it would take about 9 years to double your money. Since we only had 7 years, it makes sense that we did not double our money, but we fairly close to doing so, meaning that our answer is viable. This is only a way to roughly check the answer.