How to Calculate Discrete Returns

Calculating implicit of return takes only a few steps, but you must be methodical.
••• calculation image by Alexey Klementiev from

Discrete numbers and investments have a distinct set of possible values rather than a continuous set. In other words, the number can only be an integer or some predefined value. The normal number line of investment returns is continuous with infinite number of values (1, 1.1, 1.01 etc.). Calculating a discrete return makes the number much more concrete. A common discrete return is a compound interest rate.

    Find the amount of principal that you will form as the base point for your investment returns. If it is a loan, the principal is the total loan amount minus any down payment. For example, a $60,000 loan that was initially paid down with $10,000 will yield a $50,000 principal.

    Use the rate of interest to help calculate discrete returns. Based on the level of risk of the borrow and the type of loan, the interest rate will vary substantially. Assume a 12 percent risk for this example.

    Use the formula for discrete returns to find the annual rate of compounding. The formula is 1 plus the interest rate divided by the number of times compounded annually raised to the power of the number of annual compounds. If the loan is compounded twice per year the equation would be:

    Discrete return = (1+.12/2)^2 = (1+.06)^2 = 1.1236

    Determine the total discrete return by multiplying the principal by the result from Step 3. So, $50,000 X 1.1236 = $56,180.

Related Articles

How to Calculate Sharpe Ratio
How to Graph a Security Market Line
How to Calculate Percent of Return
How to Calculate Yearly Averages
How to Find Simple Interest
How to Calculate Levered Beta
How to Find the Midpoint of the Interval
How to Use Algebra 2 in Real Life
How to Calculate NAIRU
How to Calculate Daily Compounding Interest
How to Subtract 20% on a Calculator
How to Calculate Percentage Points
How to Calculate Price Per Share of Common Stock
How to Add Percentage to a Price
What is the Simple Interest Formula?
How to Write in Exponential Form
How to Calculate Percentage Reduction
What Does Decompose Mean in Math?
How to Calculate a Passing Rate
How to Make a Relative Frequency Table