University of Free Knowledge
HG 179 · fol. 12

What Borrowed Money Really Costs

The true cost of borrowing is the interest and fees you pay on top of the amount received, so a loan's real price is the total you hand back minus the amount you got — a figure the monthly payment alone hides. · 11 min

Borrowing feels free at the moment you do it: the money is in your hands and the cost is somewhere in the future. But every loan has a price, and the price is interest plus fees — the extra you repay beyond what you received. Lenders advertise the monthly payment, because a small monthly number hides a large total. The honest question is not "can I make the payment?" It is "how much more than I borrowed will I hand back before this is done?"

Guess before you learn

You borrow $1,000 and repay it in fixed monthly amounts over 3 years at a 20 percent yearly rate. Guess the total number of dollars you hand back over the three years.

$
THE DEPTH DIAL — the same idea, younger or deeper
9–12

9–12

The cost of credit is total repayments minus principal received. APR standardizes comparison by expressing interest and required fees as an annualized rate, but two loans with the same APR can differ in total cost if their terms differ, because cost accrues over time. Lengthening the term lowers each payment while raising the number of payments — and usually the total interest — so payment size and loan cost move in opposite directions.

This is compound interest from folio eleven, viewed from the borrower's side: the lender's balance grows on you. The practical reading is to compare loans on APR and on total repaid, never on the monthly payment alone, and to treat a longer term as a decision to pay more for smaller installments — sometimes worth it, but always a real cost you should see plainly.

APR

Annual percentage rate — interest plus many required fees expressed as one yearly rate, so loans can be compared. Higher APR and longer terms both raise what you repay.

Why is this true?

Why is a lower monthly payment not the same as a cheaper loan?

Because a smaller payment usually comes from stretching the loan over more months, and interest keeps accruing every one of those months. You pay less each time but many more times, so the total handed back — the real cost — is typically higher, not lower.

Ink That Thinks — guess first; the answer draws itself.
You borrow $1,000 at a 20 percent yearly rate. Sketch how the TOTAL you repay changes as you stretch the loan from 12 months out to 60 months. Draw your line in pencil first.

20304050601000120014001600loan length (months)total repaid ($)
Drag across the axes to sketch.
PLATE I Total repaid against loan length on the same $1,000 — longer costs more. Guess in graphite, truth in ink.
Retrieval Gate — answer before you continue 0 / 4

1.You borrow $500 and repay $50 a month for 12 months. What is the cost of the loan, in dollars?

$

2.Two loans for the same $1,000 have the same APR. Loan A runs 24 months; Loan B runs 48 months. Which usually costs more in total?

3.What does the APR let you do?

4.In one sentence, explain how to find the true cost of a loan from its numbers.

Find the cost of a $1,200 loan — the steps fade as you master them

1
The loan is repaid at $115 a month for 12 months. Total the payments
115 × 12 = 1,380
2
Subtract the amount you actually borrowed
1,380 − 1,200 = 180
3
State the cost of borrowing
Cost = $180 in interest and fees
4
As a share of the loan, roughly what did it cost?
180 ÷ 1,200 = 0.15, about 15%
12 months1,110 $ total repaid on a $1,000 loan24 months1,220 $ total repaid on a $1,000 loan36 months1,340 $ total repaid on a $1,000 loan48 months1,460 $ total repaid on a $1,000 loan60 months1,590 $ total repaid on a $1,000 loan
PLATE II The same $1,000 borrowed: each longer term hands back more. The bar above $1,000 is pure cost.

Not all borrowing is a mistake — a mortgage or a modest, cheap loan can be worth its cost. What matters is seeing the price clearly and choosing on the total, not the payment. Some products, though, are engineered so the price is nearly impossible to see, and the curve runs hard against you on purpose. The next folio names those traps and the warning signs that mark them.

Note

Only ever shown the monthly payment? The Atelier of Mind has a habit for salespeople's numbers: always ask for the APR and the total repaid before you decide.

Practice — new ink and old, interleaved

1.A salesperson says, 'It's only $60 a month.' What should you ask before agreeing?

2.From folio three: borrowing for which of these is easiest to justify as a genuine need?

3.From folio four, without looking back: why is the tracked month the right source for a category's starting amount?

4.Without looking back: what two things make up the cost of borrowing, and how do you find the total cost of a loan?

5.Which of these is a deduction — money taken out before you are paid?

6.From the last folio: which expense is fixed rather than variable?

7.From folio eleven: how is a high-interest debt related to compound interest?

8.You borrow $2,000 and repay a total of $2,480. What did the loan cost, in dollars?

$

9.In one sentence, explain how the same item can be a need for one person and a want for another. Use a car as your example.

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