Interest Rate Formula Math
360 divided by 182 multiplied by 0 0167 from above gives us 0 033 or a 3 3 annual.
Interest rate formula math. The final step is to multiply that result by the 360 divided by the days to maturity 182 in this case. 8 is the interest rate for the whole year or for 4 interest periods. Once you know the basics of this equation the math is easy. Using the simple interest formula for future value.
The interest rate is computed quarterly or four times a year. N number of periods. I prt becomes r i pt remember to use 14 12 for time and move the 12 to the numerator in the formula above. Plug your numbers into the interest formula i p t r displaystyle frac i pt r to get your rate.
A p 1 r t 10 000 1 0 075 8 16 000. This may seem high but remember that in the context of a loan interest is really just a fee for borrowing the money. Since r is the interest rate for 1 interest period r 8 4 0 08 4 0 02. Get your calculator and check to see if you re right.
N is the number of payment periods or total number of times interest is added to the principal. Here is how to find n. Pv fv 1 r n. How quickly depends on the rate and the number of compounding periods.
Finds the present value when you know a future value the interest rate and number of periods. Just fill in the numbers for your loan or savings account after paying receiving interest. When the amount of interest the principal and the time period are known you can use the derived formula from the simple interest formula to determine the rate as follows. The compound interest formula is used when an investment earns interest on the principal and the previously earned interest.
R fv pv 1 n 1. The business will pay back a total of 16 000. Investments like this grow quickly.