How much is 30000 worth after 72 Quarterlys using an annual interest r

How much is 30000 worth after 72 Quarterlys using an annual interest r Image to Crop

How much is 30000 worth after
72 quarters
using an annual interest rate of 4.5%
compounded quarterly?

Calculate effective interest rate

There are 4 quarters in a year
Convert interest rate to quarterly

Quarterly Interest =	Annual Interest Rate
	Compounding Periods

Quarterly Interest =	0.045
	4

Quarterly Interest = 0.01125

Calculate Accumulated Balance

A = B(1 + i)ⁿ where A = accumulated balance B = opening balance i = Quarterly interest rate and n = number of periods

Plugging in our values

A = 30000(1 + 0.01125)⁷²
A = 30000(1.01125)⁷²
A = 30000(2.2377650810351)
A = 67,132.95

How much interest was earned?

Interest Earned = Accum. Value - Start Balance

Plug in our values

Interest Earned = 67,132.95 - 30,000.00
Interest Earned = 37,132.95

A = 67,132.95
Interest Earned = 37,132.95

You have 1 free calculations remaining

What is the Answer?

A = 67,132.95
Interest Earned = 37,132.95

How does the Compound Interest Accumulated Balance Calculator work?

Free Compound Interest Accumulated Balance Calculator - Given an interest rate per annum compounded annually (i), semi-annually, quarterly, monthly, semi-monthly, weekly, and daily, this calculates the accumulated balance after (n) periods
This calculator has 3 inputs.

What 1 formula is used for the Compound Interest Accumulated Balance Calculator?

What 5 concepts are covered in the Compound Interest Accumulated Balance Calculator?

compound interest: the interest you earn on principal and interest
A = (1 + r/n)^nt
compound interest accumulated balance
interest rate: the proportion of a loan that is charged as interest to the borrower or proportion of principal credit given to a depositor
principal: The amount borrowed on a loan, before interest is charged
yield: How much an investment returns in terms of interest rate