While she was travelling, Zainab took advantage of the convenience of cash withdrawals on her credit card since her Canadian debit card wasn’t accepted in the country she was in. According to her travel budget she withdrew $175 every day for food, activities and shopping for 21 days.

When she got home, on the 21st day, she checked her credit card bill on-line and it showed that she had been charged interest already even though her payment wasn’t past due. It turns out that interest is compounded daily on cash withdrawals, from the day the cash is withdrawn

If the interest rate on cash withdrawals is 28%, what was her total bill when she got home?

What would be the total interest paid?

A credit card is a payment card that enables the cardholder to make purchases charged to a line of credit instead of the account holder's cash deposits. The credit card account accrues interest periodically (most ideally, daily) and payment may be required each month to offset the balance.

What is Future Value?

The future value is the amount that will be due on an investment or payment after compounding interest for a future date. The future value can be computed with the formula below.

FV = PV(1+r)^n

Where:

FV = future value

PV = present value

r = annual interest rate

n = number of periods interest held

The future value can also be calculated using an online finance calculator as follows:

Data and Calculations:

Annual interest rate = 28%

Daily interest rate = 0.0767 (28%/365)

N (# of periods) = 21 days

I/Y (Interest per year) = 28%

PV (Present Value) = $0

PMT (Periodic Payment) = $175

P/Y (# of periods per year) = 365 days

C/Y (# of times interest compound per year) = 365 days

Results:

FV = $3,703.33

Sum of all periodic payments = $3,675.00 ($175 x 21)

Total Interest = $28.33

Thus, Zainab's total bill is $3,703.33 with an interest of $28.33.

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