The image above represents present worth. To calculate present worth, three essential parameters are needed and these parameters are Gradient Amount (G), Interest Rate (i) and Number of Years (N).
The formula for calculating present worth:
P = G[((1 + i)N) – iN – 1] / [i²((1 + i)N)]
Where:
G = Gradient Amount
P = Present Amount or Worth
i = Interest Rate
N – Number of Years
Let’s solve an example;
Find the present worth when the gradient amount is 22, the interest rate is 0.2 and the number of years is 2.
This implies that;
G = Gradient Amount = 22
i = Interest Rate = 0.2
N – Number of Years = 2
P = G[((1 + i)N) – iN – 1] / [i²((1 + i)N)]
P = 22[((1 + 0.2)2) – 0.2(2) – 1] / [0.2²((1 + 0.2)2)]
So, P = 22[((1.2)2) – 0.4 – 1] / [0.0400000000000001((1.2)2)]
P = 22[1.44 – 0.4 – 1] / [0.04000000000000001 x 1.44]
P = 22[0.040000000000000036] / [0.05760000000000001]
That is, P = 22 x 0.6944444444444449
P = 15.27
Therefore, the present worth is ₦15.27.
Read more:Â How to Calculate and Solve for Present Worth | Geometric Gradient | Economic Equivalence
How to Calculate Present Worth | Gradient Series Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the present worth.
To get the answer and workings of the present worth using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
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Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe for NGN 1,500 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Economics under Engineering.
Now, Click on Economic Equivalence under Economics
Now, Click on Present Worth under Economic Equivalence
The screenshot below displays the page or activity to enter your values, to get the answer for the present worth according to the respective parameters which are the Gradient Amount (G), Interest Rate (i) and Number of Years (N).
Now, enter the values appropriately and accordingly for the parameters as required by the Gradient Amount (G) is 22, Interest Rate (i) is 0.2 and Number of Years (N) is 2.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the present worth and presents the formula, workings and steps too.
