Answer:
The periodic interest rate from June 3 to July 2 will be 2.08%
Explanation:
Given:
Annual percentage rate = 25%
Time period = June 3 to July 2
To Find:
Periodic interest rate =?
Solution:
The periodic interest rate r is calculated using the following formula:
![r = (1 + (i)/(m))^{(m)/(n)} - 1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i1lg908cui62ctvcgo3izbg4n7iu5qr1rk.png)
Where,
i = nominal annual rate
n = number of payments per year i.e., 12 for monthly payment, 1 for yearly payment and so on.
m = number of compounding periods per year
The period interest rate per payment is integral to the calculation of annuity instruments including loans and investments.
Now substituting the values we get
![r = (1 + (25)/(12))^{(12)/(12)} - 1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yod729oeoqm24tp6btt8lm7yksptnal4r1.png)
![r = (1 + (25)/(12))^1 - 1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/x35i6dr3ql9q7ajx5v45q1b8wdgs56bsug.png)
![r = (1 +2.083 ) - 1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/afpes2u3q7fu7u7fttwb4fwdbcwbm67ixr.png)
![r = (3.083 ) - 1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mzhuq039hmebdn5j7bg7kzivt3i368xv71.png)
![r = 2.083 \%](https://img.qammunity.org/2020/formulas/mathematics/middle-school/q7t9o4oc6183yo1v8gej8b9tlb33ppevtx.png)