How to Calculate the Implied Interest Rate

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How to Calculate the Implied Interest Rate
How to Calculate the Implied Interest Rate
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An implied interest rate represents the nominal interest rate that is implied when you borrow a fixed amount of money and return a different amount of money in the future. For example, if you borrow $ 100,000 from your brother and promise him to pay him back the same amount plus an extra $ 25,000 over 5 years, you are paying an implicit interest rate. Here's how it's calculated.

Steps

Calculate Implicit Interest Rate Step 1
Calculate Implicit Interest Rate Step 1

Step 1. Divide the total loan to be repaid by the amount of money borrowed

Using the same example, you borrowed $ 100,000 and you have to pay back a total of $ 125,000, so divide $ 125,000 by $ 100,000 and the result will be 1.25.

Calculate Implicit Interest Rate Step 2
Calculate Implicit Interest Rate Step 2

Step 2. Raise the result of the first pass to the power of 1 / n, where n is the duration of the time period for which you pay interest

For simplicity, we can use n = 5 to denote 5 years, to calculate the annual implicit interest rate. So 1, 25 ^ (1/5) = 1, 25 ^ 0.2 = 1.0456.

Calculate Implicit Interest Rate Step 3
Calculate Implicit Interest Rate Step 3

Step 3. Subtract 1 from the previous result

So 1, 0456 - 1 = 0, 0456.

Calculate Implicit Interest Rate Step 4
Calculate Implicit Interest Rate Step 4

Step 4. Multiply the previous result by 100% and you will arrive at 4.56%

Here is the implied annual interest rate.

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