No. The more often it's compounded, the more interest you receive,and the faster your investment grows.
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.
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
Divide by the number of hours per year that you claim to work for.
It depends on the number of hours worked in a year!
The compound interest formula is FV = P(1+i)^n where FV = Future Value P = Principal i = interest rate per compounding period n = number of compounding periods. Here you will need to calculate i by dividing the nominal annual interest rate by the number of compounding periods per year (that is, i = 4%/12). Also, if the money is invested for 8 years and compounds each month, there will be 8*12 compounding periods. Just plug the numbers into the formula. You can do it!
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
No. The more often it's compounded, the more interest you receive,and the faster your investment grows.
To transform a nominal risk-free rate into a periodic rate, you would first need to determine the compounding frequency (e.g., annual, semi-annual). Then, you can divide the nominal rate by the number of compounding periods per year to calculate the periodic rate. For example, if the nominal rate is 5% annually and compounding is semi-annually, the periodic rate would be 2.5% (5% / 2).
150,000 per year (simple interest, no compounding)
Rate per period
This depends on if the interest is compounding every year or not.
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.
Future Value = (Present Value)*(1 + i)^n {i is interest rate per compounding period, and n is the number of compounding periods} Memorize this.So if you want to double, then (Future Value)/(Present Value) = 2, and n = 16.2 = (1 + i)^16 --> 2^(1/16) = 1 + i --> i = 2^(1/16) - 1 = 0.044274 = 4.4274 %
Simple interest (compounded once) Initial amount(1+interest rate) Compound Interest Initial amount(1+interest rate/number of times compounding)^number of times compounding per yr
Formula for future value is F = P*(1 + r)^n, Where:F is Future valueP is Present valuer is the rate per unit time (so 6% per year is 0.06)n is the number of compounding time periods (annually, so n=5 for 5 years)F = 200*(1+.06)^5 = 267.65
Paid once a month (12 pay periods per year)