§-Quick questions
NSWMaths Standard 2Year 12: Financial Mathematics
Quick questions on Credit card interest, daily compounding and the cost of revolving debt for HSC Maths Standard 2
5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is effective annual rate?Show answer
A daily-compounded rate has a slightly higher effective annual rate than the nominal rate, because the interest itself earns interest through the year:
What is minimum monthly repayment?Show answer
Cards usually require a minimum monthly repayment of about - of the closing balance (or a small fixed amount such as $25, whichever is greater). The trap is just arithmetic. The monthly interest on a typical card is itself close to that same percentage. So the minimum payment barely clears more than the interest, and the balance falls at a crawl.
What is statement period?Show answer
A typical statement period is one month. Interest is worked out daily on the balance and added to the account at the end of the statement period. That added interest then earns interest itself the next period. This is what makes it compounding rather than simple.
What are wrong number of days?Show answer
Count actual calendar days, not weeks or months. February has days, not .
What is annual rate substituted directly?Show answer
Use the daily rate for daily compounding, then raise to the number of days.
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