APRC provides a standard way to compare the true cost of different housing loans. By including both the interest rate and all upfront and ongoing fees over the loan term, it shows the overall percentage cost, allowing you to compare offers on an apples-to-apples basis. It isn’t meant to hide costs or obscure charges; the idea is transparency so you can see which loan actually costs more in total. It also doesn’t directly tell you your monthly repayments—that depends on the loan amount, term, and nominal rate. And it isn’t about illustrating mortgage interest tax relief. So the primary use is to enable the borrower to compare relative cost of different competing loans.

In a hire purchase, you can use and enjoy the goods during the term, but you don’t own them until you’ve completed all payments. The seller keeps legal title while you’re paying, and at the end you typically gain ownership by exercising the purchase option or paying the final amount specified. This means statements that say ownership passes immediately, or that the hirer bears none of the risks or responsibilities until after ownership, aren’t correct. The only true point is that the hirer has the right to use the goods during the agreement (possession and use), while ownership remains with the seller until final payment.

The Rule of 72 is a quick estimation for how long it takes an investment to double given a steady annual return. The idea is that the approximate number of years to double is found by dividing 72 by the rate (in percent). This works because the exact doubling condition is (1 + r)^t = 2, which leads to t = log(2)/log(1 + r). For small rates, log(1 + r) ≈ r, so t ≈ 0.693/r. Since r is a percent, this becomes about 69.3 divided by the rate, and 72 is used because it gives convenient mental math and reasonable accuracy across common rates. It’s an approximation and assumes discrete annual compounding, not continuous compounding, and it applies to any steady rate, not just inflation. So dividing 72 by the rate is the best description of the rule.

The main idea here is that APR shows the true annual cost of borrowing by combining the interest with most loan-related fees, while the nominal rate is just the stated interest rate before any fees are added. Why this is the best description: APR is designed to reflect what you actually pay each year on a loan, including costs like origination fees, points, and certain closing charges. That means if there are fees, the APR will be higher than the nominal rate, giving you a clearer basis to compare different offers. If there are no fees, the APR and the nominal rate align, which is why the two can coincide in a no-fee scenario. Why the other ideas are less complete: saying APR is the same as the nominal rate only in the absence of fees is technically true but doesn’t capture the purpose of APR as a tool for comparing true borrowing costs. Saying the nominal rate includes all fees is incorrect, since the nominal rate is just the stated interest rate before fees. And stating APR is only used for credit cards ignores that APR is used for many loan products as a standard way to express annual borrowing cost.