MGU Business and Finance Series — Personal Finance and Financial Systems
Part III: Saving, Interest, and Credit
Installment Loans · Revolving Credit · Amortization · Repayment Strategies
Chapter 12 of 28
MGU Business and Finance Series  ·  Personal Finance and Financial Systems  ·  Library Textbook Edition

Chapter 12:
Loans, Debt, and
Repayment Strategies

How borrowing works, what debt really costs, how minimum payments trap borrowers, and how to compare and repay debt strategically

■ Part III: Saving, Interest, and Credit ■

■ 10 Sections  •  Chapter 12 of 28 ■

Follows Chapter 11: Credit Scores, Credit Reports, and Borrowing Basics  ·  Prepares students for Chapter 13: Taxes, Paychecks, and Withholding

Purpose and Overview

Borrowing money is one of the most consequential financial decisions people make. Loans fund education, cars, homes, and emergencies. Used carefully, credit can expand opportunity. Used carelessly, debt can become a serious burden that costs far more than the original purchase and limits future financial choices for years.

This chapter explains how borrowing works, what debt really costs, how lenders structure loans, how minimum payments trap borrowers in long repayment cycles, and how to compare and repay debt strategically. Students will learn to read the true cost of borrowing — not just the monthly payment — and to recognize the warning signs of debt stress before a manageable situation becomes a crisis.

By the end of this chapter, students should be able to distinguish types of debt, calculate total borrowing costs, compare repayment strategies, evaluate the real impact of minimum payments, and identify resources for getting help with debt.

Opening Question

A car dealership advertises "Only $259 per month!" for a new vehicle. Is that a good deal? The answer depends on how long you pay, what interest rate applies, what fees are included, and what the total amount repaid actually is. A $259 monthly payment over 72 months costs more than $18,600 before interest — even if the sticker price was lower. By the end of this chapter, you will know how to read past the monthly payment and evaluate the true cost of any loan.

10Sections
8Objectives
18Key Terms
12+Worked Examples

Learning Objectives

  1. 1Distinguish installment loans from revolving credit and explain how each works.
  2. 2Explain the difference between secured and unsecured debt and why it matters for borrowers.
  3. 3Identify the components of loan cost: principal, interest, fees, and APR.
  4. 4Calculate total repayment cost and total interest paid for a loan given the term and rate.
  5. 5Explain how minimum payments on revolving credit create prolonged, expensive repayment cycles.
  6. 6Describe amortization and interpret a basic amortization table.
  7. 7Calculate and interpret a debt-to-income ratio.
  8. 8Compare the debt avalanche and debt snowball repayment strategies and select an appropriate approach.

Sections at a Glance

Sections 12.1 – 12.4
Why and How People Borrow: Structures and Costs
Why People Borrow · Installment vs. Revolving · Secured vs. Unsecured · Principal, Interest, Fees

Why People Borrow

Most people borrow money at some point in their lives. Understanding why people borrow — and what tradeoffs borrowing involves — is the starting point for responsible debt management.

The reasons people borrow

ReasonExplanationExample
Spreading cost over timePurchase price exceeds what savings can cover in a short period$18,000 car loan repaid over 48 months
Investing in human capitalEducation costs must be paid before future earnings arriveStudent loan repaid from post-graduation income
Covering emergenciesSudden expenses exceed available savingsMedical bill or car repair on a credit card
Building credit historyResponsible repayment creates a credit record for future borrowingA secured credit card used and paid monthly
Purchasing assetsMost people cannot buy a home from savings aloneMortgage with home as collateral
The Fundamental Tradeoff

Borrowing is not free. Every loan involves interest — making the total repaid greater than the amount borrowed. The core question every borrower must ask: Is what I am buying worth the total cost I will pay, including interest?

When someone makes loan payments, those dollars cannot be saved, invested, or spent elsewhere. Monthly debt payments represent an ongoing opportunity cost. A household spending $800 per month on loan payments cannot put that $800 toward retirement contributions, an emergency fund, or other goals during those repayment years.

Key Principle

Borrowing accelerates purchasing power but reduces future financial flexibility. Every loan is a tradeoff between access now and cost over time.

Practice 12.1Concept Check
  1. Name three reasons a person might borrow money and explain the tradeoff in each case.
  2. A household has $400 of loan payments each month. Explain the opportunity cost this creates over one year.
  3. Why might building a credit history through small borrowing be considered a strategic financial move? What risk does it carry?

Installment Loans and Revolving Credit

Debt comes in two fundamental structures. Understanding the difference shapes how borrowers manage repayment.

Installment Loans

An installment loan is a loan for a fixed amount, repaid in regular payments over a set period of time. The loan has a defined end date. When the final payment is made, the debt is retired.

  • Fixed loan amount borrowed at the start
  • Fixed repayment schedule (usually monthly)
  • Fixed number of payments and a clear end date
  • Often used for large purchases: cars, homes, education, personal loans

Revolving Credit

Revolving credit is a credit limit that the borrower can use, repay, and use again — repeatedly, over time. There is no fixed payoff date. The borrower's payment obligation each month depends on how much of the credit limit has been used.

  • Credit limit assigned by the lender; borrower chooses how much to use
  • Minimum payment required each month based on the current balance
  • Unused credit stays available; balance can grow if new charges exceed payments
  • No automatic end date
FeatureInstallment LoanRevolving Credit
Loan amountFixed at startVariable, up to credit limit
Payment scheduleFixedVariable (based on balance)
End dateYes, fixedNo fixed end date
Interest chargedOn remaining balanceOn unpaid balance monthly
Common examplesAuto loan, mortgage, student loanCredit card, line of credit
Risk of open-ended debtLowHigh if minimum payments only
Revolving Credit Risk

The flexibility of revolving credit is useful but creates risk: balances that are not paid in full accrue interest, often at high rates. Credit cards carrying balances month to month are one of the most expensive forms of consumer borrowing.

Practice 12.2Classification Practice
  1. Auto loan at 6.9%, 60-month term
  2. Credit card with a $4,000 limit
  3. 30-year home mortgage
  4. Home equity line of credit
  5. Personal loan, 24 payments
  6. Federal student loan, standard repayment

For each: identify whether it is an installment loan or revolving credit, and explain your reasoning.

Secured and Unsecured Debt

Lenders face the risk that borrowers will not repay. To manage that risk, lenders either require collateral or charge higher interest rates — or both.

TypeDefinitionExamplesDefault Consequence
Secured Backed by collateral the lender may seize if the borrower fails to repay Mortgage (home), auto loan (vehicle), secured credit card (cash deposit) Lender can foreclose on home or repossess vehicle
Unsecured Not backed by collateral; lender relies on creditworthiness and legal remedies Most credit cards, personal loans, medical debt, most student loans Credit damage, collections, possible court judgment — no direct asset seizure
Why the Distinction Matters

Because secured loans carry less lender risk, they typically carry lower interest rates. A borrower benefits from lower cost — but risks losing the collateral asset if they cannot repay. Default on a mortgage means potential foreclosure. Default on a credit card means credit damage and collections, but no immediate loss of property. Both outcomes are serious.

Practice 12.3Concept and Application
  1. Why do secured loans typically have lower interest rates than unsecured loans? What does the lender gain from requiring collateral?
  2. A borrower is behind on both a car loan and a credit card bill. Which has the more immediate risk of asset loss? Explain.
  3. Name two situations where someone might have no choice but to use unsecured credit even at a higher rate.

Principal, Interest, and Fees

Understanding how lenders charge for borrowing requires separating the three components of loan cost.

The Three Components

ComponentDefinitionEffect on Borrower
PrincipalThe original amount borrowed — the actual dollars received or purchase price financedEvery payment partially reduces the principal; lower principal = less interest accumulates
InterestThe cost of borrowing, expressed as a percentage of the outstanding balance over timeHigher rate = more of each payment goes to interest instead of reducing the balance
FeesCharges beyond interest: origination, application, annual, late payment, prepayment penalty, balance transfer, cash advanceFees increase the true cost of a loan beyond the stated interest rate

How Interest Accrues Monthly

Example 12.4.1
Calculating the first month's interest on a loan
  • ProblemA borrower takes a $5,000 loan at 8% annual interest with monthly payments of $156.22. How much of the first payment is interest? How much reduces the principal?
  • Monthly Rate Monthly interest rate = 8% ÷ 12 = 0.667% = 0.00667
  • Interest Month 1 interest = $5,000 × 0.00667 = $33.33
  • Principal Principal reduction = $156.22 − $33.33 = $122.89 New balance = $5,000 − $122.89 = $4,877.11
  • InterpretMonth 2 interest will be calculated on $4,877.11 — slightly less than month 1. As the balance falls, the interest portion of each payment shrinks and the principal portion grows.
First month: $33.33 interest, $122.89 principal reduction. New balance: $4,877.11.
Annual Percentage Rate (APR)

APR is a standardized disclosure that captures interest plus certain fees, expressed as a yearly percentage. Lenders are required by law to disclose APR, making loan comparison easier. When comparing loans with the same stated rate but different fees, the loan with the higher APR is more expensive.

Always compare APR — not just the advertised rate — when evaluating borrowing options.

Important distinction: APR measures the cost of borrowing. APY (Annual Percentage Yield) measures the return on saving. These are different calculations used in different contexts.

Practice 12.4Calculation Practice
  1. A borrower takes a $3,000 loan at 10% annual interest. Calculate the monthly interest rate and the first month's interest charge.
  2. Two lenders offer the same 7% stated interest rate, but Lender A charges a $150 origination fee and Lender B charges no fees. Which has the higher APR? Which is more expensive?
  3. A credit card charges a $95 annual fee plus 21% APR on balances. Explain why the true annual cost of carrying a $500 balance exceeds $105.
Sections 12.5 – 12.7
Total Cost, Minimum Payments, and Amortization
Monthly Payment vs. Total Cost · Minimum Payment Traps · How Amortization Works

Monthly Payments and Total Cost

Many borrowers focus on the monthly payment when deciding whether to take a loan. Monthly payment matters — a payment must fit within the budget — but it is only part of the picture. Total cost over the life of the loan is equally important.

Three variables determine the monthly payment and total cost of an installment loan: principal (amount borrowed), interest rate (annual cost of borrowing), and loan term (number of months to repay). Changing any one changes both the monthly payment and the total amount repaid.

Worked Example: A $15,000 Auto Loan

Loan Term Interest Rate Monthly Payment Total Paid Total Interest Paid
36 months5.5%$453.48$16,325.28$1,325.28
48 months5.5%$347.79$16,694.12$1,694.12
60 months5.5%$286.96$17,217.38$2,217.38
60 months9.0%$311.38$18,682.80$3,682.80
72 months9.0%$269.62$19,412.64$4,412.64

What this table reveals:

  • Extending from 36 to 60 months at the same rate reduces the monthly payment by $167 but costs an additional $892 in interest.
  • Increasing the rate from 5.5% to 9.0% on a 60-month loan costs an additional $1,465 in interest — even though the monthly payment increases by only $24.
  • The longest, highest-rate option costs $4,412 in interest — more than 29% of the original loan amount paid in interest alone.
The Monthly Payment Illusion

A lower monthly payment achieved by extending the loan term nearly always means paying more in total. Borrowers should weigh the budget benefit of smaller payments against the higher total cost. The question is not only "Can I afford this payment?" but also "Can I afford what this loan actually costs?"

Comparison-Shopping for Loans

Before accepting any loan, compare: APR (not just the advertised rate), loan term, total amount to be repaid, all fees, prepayment flexibility, and lender reputation. Getting quotes from multiple lenders — banks, credit unions, and online lenders — gives borrowers the information to negotiate or choose the best option.

Calculating Total Cost and Total Interest
Total Cost = Monthly Payment × Number of Payments Total Interest Paid = Total Cost − Original Principal
Example: $286.96 × 60 = $17,217.60 total paid. $17,217.60 − $15,000 = $2,217.60 in interest.
Practice 12.5Calculation Practice
  1. A borrower takes a $9,000 personal loan at 7% APR for 36 months. The monthly payment is approximately $277.87.
    a. Calculate the total repayment.
    b. Calculate the total interest paid.
  2. A lender offers two options on a $10,000 loan: (A) 5% APR, 24 months, $438.71/month; or (B) 5% APR, 48 months, $230.29/month. Calculate total interest for each. Which is less expensive overall? Which has the lower monthly payment?
  3. A student says, "The 72-month loan is smarter because I save $183 every month." Using the $15,000 auto loan table above, write a response that corrects this reasoning with specific numbers.

Minimum Payments

For revolving credit — especially credit cards — the minimum payment is the smallest payment the lender will accept each billing cycle without penalizing the account. Paying only the minimum is legal and keeps the account in good standing, but it creates a prolonged and expensive repayment cycle.

Credit card companies typically calculate minimum payments as: a flat dollar amount (e.g., $25 or $35), a percentage of the outstanding balance (e.g., 1%–3%), or the greater of a flat amount or a percentage. When the balance is small, the minimum might be $25. As the balance grows, the minimum rises somewhat — but often not proportionally.

Worked Example: A $3,000 Credit Card Balance at 21% APR

Minimum payment = 2% of balance, $25 floor. No new purchases.

Payment StrategyMonthly PaymentTime to Pay OffTotal Interest Paid
Minimum only (declining)~$60 at start, decreasingOver 17 years~$4,200
Fixed $100/month$100~4 years~$1,500
Fixed $200/month$200~18 months~$630
Fixed $500/month$500~7 months~$210

Paying only the minimum on a $3,000 balance at 21% interest can take more than seventeen years to repay and cost more in interest than the original balance. A borrower who charges $3,000 and pays only minimums may ultimately pay more than $7,000 total.

Why Minimum Payments Create Such Long Cycles

High interest rates eat most of each payment. The principal falls very slowly. On the large remaining balance, interest continues to compound. As the balance barely shrinks, the minimum payment also barely shrinks. The cycle repeats for years or decades.

What to Do Instead

Always pay more than the minimum on credit cards. Paying the full balance each month eliminates interest entirely. If the full balance is not possible, pay as much above the minimum as the budget allows. Even an extra $25 or $50 per month can save hundreds of dollars in interest and shave years off repayment.

Practice 12.6Minimum Payment Analysis
  1. A credit card balance is $1,800 at 19.5% APR. The minimum payment is 2% of the balance = $36. The monthly interest rate is 19.5% ÷ 12 = 1.625%.
    a. Calculate the first month's interest charge.
    b. Calculate the principal reduction from the $36 minimum payment.
    c. Explain in plain language why making only minimums leads to such slow repayment.
  2. A borrower has a $2,200 credit card balance and is choosing between paying $44/month (minimum) or $150/month. Explain qualitatively what happens to total interest cost and repayment timeline under each strategy.

Amortization at an Introductory Level

Amortization is the process by which a loan is gradually repaid through regular payments that cover both interest and principal over a fixed schedule. Each payment is split between two components: the interest payment (calculated on the current remaining balance) and the principal payment (the remainder, which reduces what is owed).

At the start of the loan, the balance is large, so interest is large. Most of the early payment goes to interest, and relatively little reduces the principal. Over time, as the principal declines, the interest portion shrinks and the principal portion grows — even though the total payment stays the same each month. This structure is sometimes called front-loaded interest.

Amortization Table: $10,000 Loan, 8% Annual Interest, 12 Months

Monthly payment: approximately $869.88

Month Starting Balance Payment Interest Principal Ending Balance
1$10,000.00$869.88$66.67$803.21$9,196.79
2$9,196.79$869.88$61.31$808.57$8,388.22
3$8,388.22$869.88$55.92$813.96$7,574.26
4$7,574.26$869.88$50.49$819.39$6,754.87
5$6,754.87$869.88$45.03$824.85$5,930.02
6$5,930.02$869.88$39.53$830.35$5,099.67
7$5,099.67$869.88$34.00$835.88$4,263.79
8$4,263.79$869.88$28.43$841.45$3,422.34
9$3,422.34$869.88$22.82$847.06$2,575.28
10$2,575.28$869.88$17.17$852.71$1,722.57
11$1,722.57$869.88$11.48$858.40$864.17
12$864.17$869.93*$5.76$864.17$0.00

*Slight adjustment for rounding in final payment.

In month 1, $66.67 of the $869.88 payment goes to interest — about 7.7%. By month 12, only $5.76 goes to interest. The payment stays the same every month, but its composition shifts significantly.

Why Amortization Matters for Borrowers

Early payoff saves money. If a borrower makes extra principal payments early, they reduce the balance sooner. The next month's interest is calculated on a lower balance, so less goes to interest and more goes to principal — accelerating payoff further. Longer loans cost more in total because the balance remains larger for longer, accumulating interest throughout.

Practice 12.7Amortization Practice
  1. Using the amortization table above: how much total interest is paid over the full 12 months? (Add all interest column values.)
  2. Complete one amortization step: Remaining balance = $3,500. Annual rate = 12%. Monthly payment = $165.00.
    a. Monthly interest rate?
    b. Interest portion of this payment?
    c. Principal portion?
    d. New remaining balance?
  3. Explain in your own words why paying extra toward the principal early in a loan saves more money than making the same extra payment later in the loan's life.
Sections 12.8 – 12.10
Debt-to-Income Ratio, Repayment Strategies, and Getting Help
DTI Calculation · Debt Avalanche vs. Snowball · Debt Stress and Resources

Debt-to-Income Ratio

Lenders and financial planners use the debt-to-income ratio (DTI) to measure how much of a borrower's gross monthly income is committed to debt payments. DTI helps assess whether a borrower can afford additional debt.

Debt-to-Income Ratio Formula
DTI = (Total Monthly Debt Payments ÷ Gross Monthly Income) × 100
Monthly debt payments include: mortgage or rent, car loan, student loan, credit card minimums, and other regular loan payments.
Example 12.8.1
Calculating a debt-to-income ratio
  • ProblemMaria earns $4,800 per month (gross). Monthly debt payments: Rent $1,100 · Car loan $285 · Student loan $175 · Credit card minimum $45. Calculate her DTI.
  • Total $1,100 + $285 + $175 + $45 = $1,605 total monthly debt payments
  • DTI DTI = ($1,605 ÷ $4,800) × 100 = 33.4%
  • InterpretMaria's DTI of 33.4% is within the manageable range. She has some borrowing capacity remaining but should be cautious about taking on additional large obligations.
Maria's debt-to-income ratio is 33.4%.
DTI RangeGeneral Meaning
Below 20%Strong — low debt burden relative to income
20%–35%Manageable — within acceptable range for most lenders
36%–49%Elevated — lenders may be cautious; borrower has limited flexibility
50% or aboveHigh — significant financial stress; many lenders will decline new credit
Limitations of DTI

DTI is useful but incomplete. Two borrowers with identical DTI ratios may have very different financial situations if their incomes, expense levels, savings, and risk exposure differ. DTI does not account for emergency savings, irregular income, family obligations, or cost of living variations.

Practice 12.8DTI Calculation
  1. A household has gross monthly income of $5,600 and the following monthly debts: mortgage $1,440, car loan $340, student loan $225, credit card minimum $60. Calculate their DTI. Does this suggest they have significant borrowing capacity or are they approaching their limit?
  2. If Maria (from Example 12.8.1) pays off her student loan, what would her new DTI be?
  3. A lender's maximum DTI for a mortgage is 43%. A borrower earns $3,800/month gross and currently pays $200/month on a car loan and $85/month in credit card minimums. What is the maximum additional monthly mortgage payment the lender would approve?

Debt Repayment Strategies

When a borrower carries multiple debts — several credit cards, a car loan, a student loan — they must decide which debt to prioritize. Two well-known strategies offer different advantages.

The Debt Avalanche (Highest-Interest-First)

The debt avalanche directs extra payments to the debt with the highest interest rate first, while making minimum payments on all other debts. Once the highest-rate debt is paid off, those freed funds move to the next-highest-rate debt.

Why it works: High-interest debt costs the most over time. Eliminating the highest-rate debt first minimizes total interest paid. The avalanche is the mathematically optimal strategy.

The Debt Snowball (Lowest-Balance-First)

The debt snowball directs extra payments to the debt with the smallest balance first, regardless of interest rate. Once the smallest debt is eliminated, those freed funds roll to the next-smallest debt.

Why it works: Paying off a debt completely — even a small one — creates a sense of progress and momentum. Research suggests that psychological wins help many people stay committed to long repayment plans.

Side-by-Side Comparison

Example setup: borrower has $200/month extra to put toward debt.

DebtBalanceRateMin. PaymentAvalanche OrderSnowball Order
Credit Card A$2,40023%$481st2nd
Credit Card B$1,10018%$222nd1st
Personal Loan$5,00011%$1153rd3rd
Auto Loan$8,2006%$1904th4th
FactorDebt AvalancheDebt Snowball
Total interest paidLessMore
Speed of first payoffSlower (largest balance first)Faster (smallest balance first)
Psychological motivationRequires discipline without early winsProvides early wins and momentum
Best forBorrowers motivated by math and savingsBorrowers who need early wins to stay on track
The Honest Answer: Which Is Better?

The best strategy is the one the borrower will actually follow. A mathematically superior plan abandoned after three months produces worse outcomes than a slightly less efficient plan sustained for three years. Both strategies produce dramatically better results than paying only minimums.

Once a debt is paid off, do not increase spending by the freed amount. Roll the payment toward the next target. This is what gives both strategies their power.

Practice 12.9Repayment Strategy Practice
  1. A borrower has three debts: (A) $600 balance at 15%, (B) $1,800 balance at 22%, (C) $3,500 balance at 8%. They have $75/month extra to put toward debt. List the repayment order under (a) the avalanche, and (b) the snowball.
  2. Using the debt list from problem 1: A borrower chooses the snowball and pays off Debt A first. Describe what happens to the freed-up payment after Debt A is retired.
  3. A friend tells you, "I'm going to pay off the credit card with the highest balance first, because it seems the biggest problem." Which strategy (if any) does this match? Would you recommend a different approach? Explain.

Debt Stress and Getting Help

Debt becomes a problem when the burden exceeds what a household can reasonably manage. Recognizing debt stress early — before it becomes a crisis — gives borrowers more options and more time to act.

Warning Signs of Debt Stress

Warning SignWhat It Signals
Carrying a credit card balance every month; paying only minimumsRevolving debt is accumulating; interest costs are compounding
Using credit cards to pay for recurring expenses (groceries, utilities)Income is insufficient to cover basic costs without borrowing
Missing or delaying payments on one debt to cover anotherCash flow is failing; debt is becoming unmanageable
Receiving collection calls or noticesAccounts are seriously delinquent
DTI above 40%–45%Large share of income committed to debt, leaving little flexibility
No emergency fund; all income consumed by debt paymentsAny income disruption will trigger immediate default
Using payday loans to cover obligationsShort-term, extremely high-cost borrowing — often a debt trap
Recognizing the Signs Is Not Failure

Debt stress affects millions of households and can result from job loss, medical emergencies, family changes, and economic conditions — not only poor decisions. Early recognition opens more options. Waiting until a crisis point closes many of them.

Options When Debt Becomes Unmanageable

OptionWhat It IsBest For
Contact lenders proactively Lenders often have hardship programs — temporary payment reductions, deferred payments, or interest rate reductions for borrowers who reach out before missing payments Early-stage financial difficulty; before missing any payments
Nonprofit credit counseling Free or low-cost budget review, debt counseling, and Debt Management Plans (DMPs); look for NFCC- or FCAA-affiliated agencies Borrowers with significant unsecured debt at high interest rates
Debt consolidation loan Combines multiple debts into one new loan at a lower interest rate; only beneficial if the rate is genuinely lower and the borrower avoids new debt Borrowers with good enough credit to qualify for a meaningfully lower rate
Bankruptcy (Chapter 7 or 13) Legal process that provides relief from overwhelming debt; Chapter 7 discharges most unsecured debt; Chapter 13 restructures repayment; serious long-term credit consequences Borrowers with genuinely unmanageable debt and no realistic repayment path
What to Avoid

For-profit debt settlement companies (high fees, may leave borrowers worse off), payday loans to cover existing debt (extremely high APRs; create new more expensive debt), "guaranteed debt elimination" claims (no legitimate service can guarantee elimination of valid debts), and credit repair companies that charge fees for services borrowers can do themselves. Legitimate help is available without paying large upfront fees to commercial services.

Practice 12.10Scenario Analysis
  1. A borrower has missed two credit card payments and is now using cash advances to cover rent. Identify at least three warning signs of debt stress present in this situation.
  2. Why is it better to contact a lender before missing a payment rather than after?
  3. A friend says, "I'm going to use a for-profit debt settlement company. They guarantee they can cut my debt in half." What concerns should you raise?
  4. What is the difference between a Debt Management Plan (DMP) arranged through a nonprofit credit counselor and a debt consolidation loan?

Chapter Summary

Key Terms Review

Amortization
Gradual loan repayment through regular payments split between interest and principal reduction; early payments are interest-heavy, later payments reduce principal faster.
Annual Percentage Rate (APR)
The yearly cost of borrowing including interest and certain fees, standardized for loan comparison. Always compare APR, not just the stated rate.
Collateral
An asset pledged by a borrower to secure a loan; the lender may seize the collateral if the borrower defaults.
Debt Avalanche
Repayment strategy directing extra payments to the highest-interest-rate debt first. Minimizes total interest paid — the mathematically optimal method.
Debt-to-Income Ratio (DTI)
Total monthly debt payments divided by gross monthly income, expressed as a percentage. Used to assess borrowing capacity and financial health.
Debt Management Plan (DMP)
A structured repayment arrangement negotiated by a nonprofit credit counselor, often reducing interest rates and consolidating payments into one monthly amount.
Debt Snowball
Repayment strategy directing extra payments to the smallest balance first. Provides early psychological wins to support long-term commitment.
Default
Failure to repay a loan per agreed terms. Can trigger collection, credit damage, and asset seizure for secured debt.
Front-Loaded Interest
The amortization structure in which early loan payments are heavily weighted toward interest, with principal reduction accelerating over time.
Installment Loan
A loan for a fixed amount repaid in regular payments over a set number of months, with a defined payoff date. Examples: auto loan, mortgage, student loan.
Minimum Payment
The smallest payment a lender will accept on a revolving account in a billing cycle. Paying only the minimum leads to prolonged repayment and high total interest cost.
Origination Fee
A fee charged at loan opening, often a percentage of the loan amount, that increases the effective cost of borrowing beyond the stated interest rate.
Principal
The original amount borrowed. Each loan payment reduces principal; a lower principal means less interest accumulates in future periods.
Revolving Credit
A credit arrangement with a set limit that can be used, repaid, and reused over time. Includes credit cards and lines of credit. No fixed payoff date.
Secured Debt
Debt backed by collateral; lenders may seize the asset upon default. Lower interest rates than unsecured debt because of reduced lender risk.
Total Cost of Borrowing
The sum of all payments over the life of a loan, including principal, interest, and fees. Contrasted with the face amount originally borrowed.
Unsecured Debt
Debt not backed by collateral. Includes most credit cards and personal loans. Typically carries higher interest rates than secured debt.

Calculation Review

Formula Reference — Chapter 12
Monthly Interest = Current Balance × (Annual Rate ÷ 12) Total Cost = Monthly Payment × Number of Payments Total Interest = Total Cost − Original Principal DTI = (Total Monthly Debt Payments ÷ Gross Monthly Income) × 100
Simple interest reference: I = P × r × t (where t = time in years)
CalculationPractice Problems
Calculation Practice
Apply formulas to realistic loan scenarios
Problem 1 — Personal Loan Total Cost

Jordan takes a $6,000 personal loan at 9% annual interest for 24 months. Monthly payments are approximately $274.32.

  1. What is Jordan's total repayment?
  2. How much interest will Jordan pay over the life of the loan?
  3. In the first month, what portion of the payment is interest? What portion is principal? (Monthly rate = 9% ÷ 12)
Problem 2 — Amortization Step

Remaining balance: $3,500. Annual interest rate: 12%. Monthly payment: $165.00.

  1. What is the monthly interest rate?
  2. What is the interest portion of this month's payment?
  3. What is the principal portion of this month's payment?
  4. What is the new remaining balance after this payment?
Problem 3 — Debt-to-Income Ratio

Kezia's gross monthly income is $4,200. Monthly obligations: apartment rent $950, car loan $320, student loan $210, credit card minimum $35.

  1. Calculate Kezia's debt-to-income ratio.
  2. A lender considers applicants with DTI above 40% to be elevated risk. Does Kezia exceed this threshold?
  3. If Kezia's student loan is paid off, what would her new DTI become?
Problem 4 — Comparing Two Loan Offers

Two loan offers on a $9,000 car loan: (A) 4.9% APR, 36 months, ~$269.20/month · (B) 6.5% APR, 60 months, ~$175.68/month.

  1. Calculate the total repayment for each option.
  2. Calculate the total interest paid for each option.
  3. Which option is less expensive overall? Which has the lower monthly payment?
  4. A borrower says, "Option B is clearly better because I pay $94 less per month." What is wrong with this reasoning?
Problem 5 — Minimum Payment Reality

Marcus has a $2,500 credit card balance at 22% annual interest. He makes only the minimum payment of $50/month. Monthly rate = 22% ÷ 12.

  1. Calculate the interest portion of his first payment.
  2. Calculate the principal portion of his first payment.
  3. How much does his balance decrease after the first payment?
  4. In your own words, explain why minimum payments create such slow repayment.

Decision Scenario Practice

Scenario A
Two Borrowing Options
Elena needs $4,500 to cover a car repair and other unexpected expenses. She has two options:
Bank personal loan: 10.5% APR, 36-month term, approximately $146.25/month
Online lender: 24.9% APR, 24-month term, approximately $234.50/month
Elena's current net income is $2,100/month and she has $1,650 in existing monthly expenses.
  1. Calculate the total repayment for each option.
  2. Calculate the total interest paid for each option.
  3. Which option costs less in total? Which has the lower monthly payment?
  4. Does either payment fit within Elena's budget? Show your reasoning.
  5. What additional information would you want before advising Elena?
Scenario B
Repayment Strategy Choice
Devon has two remaining debts: Credit Card — $2,200 balance at 21%, $44 minimum. Medical bill — $800 balance at 0% (interest-free payment plan), $50 minimum. Devon has $150/month extra for repayment.
  1. Using the debt avalanche, which debt receives extra payments first? Why?
  2. Using the debt snowball, which debt receives extra payments first? Why?
  3. The medical bill charges 0% interest. How does this change the avalanche recommendation?
  4. Which strategy would you recommend for Devon, and why?
  5. If Devon pays $150 extra toward the credit card ($194 total), approximately how many months to pay off $2,200? (Estimate: monthly interest ≈ balance × 0.0175.)
Scenario C
Evaluating a Consolidation Loan
Priya carries: Credit Card A — $3,100 at 24%; Credit Card B — $1,400 at 19%; Personal Loan — $2,000 at 14%. Total: $6,500, total minimums: $145/month. A lender offers consolidation: $6,500 at 11% APR, 48 months, ~$168/month.
  1. Compare Priya's current total minimum payment to the consolidation loan payment.
  2. What interest rate benefit does the consolidation loan offer?
  3. Calculate total interest on the consolidation loan (total cost − $6,500).
  4. What is the risk if Priya takes the consolidation loan but then uses her credit cards again?
  5. Under what conditions is this a good decision? Under what conditions does it make things worse?

Financial Systems Connection

Debt is not simply a private transaction between a borrower and a lender. It flows through interconnected financial systems.

Lenders and underwriting. When a borrower applies for a loan, the lender evaluates credit reports, credit scores, income, existing debt, collateral, and other factors to decide whether to lend and at what rate. This process is called underwriting. The lender draws on data supplied by credit bureaus (covered in Chapter 11) and makes decisions within regulatory boundaries.

The secondary market. Many loans — especially mortgages and student loans — are sold by the originating lender to investors through a secondary market. A bank may originate a mortgage, then sell it to investors, freeing capital to make new loans. The borrower typically continues making payments to a loan servicer, which may or may not be the original lender.

Interest rates and monetary policy. The interest rates borrowers face are influenced by decisions made by the Federal Reserve. When the Federal Reserve raises the benchmark interest rate, borrowing costs throughout the economy tend to rise — including rates on credit cards, auto loans, and mortgages. This connection is covered further in Chapter 26.

Credit bureaus and reporting. Every payment on a loan — on time or late — is reported to one or more of the major credit bureaus (Experian, Equifax, TransUnion). This data shapes the borrower's credit report and score, affecting future access to credit and the rates charged. Debt management is therefore not just a current financial concern — it affects future financial options for years.

Debt collection systems. When loans default, they enter collection systems. Borrowers have rights under the Fair Debt Collection Practices Act (FDCPA), including the right to request written verification of debt, the right to dispute the debt, and limitations on when and how collectors may contact them.

Error Analysis

Each statement contains a financial error or misconception. Identify the error and explain the correct understanding.

Statement 1
"A longer loan term always saves me money because my monthly payment is lower."

What is wrong? A longer term reduces the monthly payment but increases total interest paid. Lower monthly payments achieved by extending the term cost more overall — not less.

Statement 2
"As long as I make the minimum payment every month, I'm handling my credit card responsibly."

What is wrong? Minimum payments keep accounts current but allow high-interest balances to persist for years. A $3,000 balance at 21% paid by minimums only can take 17+ years and cost more than $4,200 in interest alone.

Statement 3
"The monthly payment is the most important number to compare when choosing between two loans."

What is wrong? APR and total cost are more important. A lower monthly payment often reflects a longer term, which means more total interest paid. Compare APR, total repayment, and all fees.

Statement 4
"Using the debt snowball means I will definitely pay less interest than the debt avalanche."

What is wrong? The opposite is true. The debt snowball costs more in total interest because it does not prioritize the highest-rate balances first. Its advantage is psychological, not mathematical.

Statement 5
"If I consolidate all my debts into one loan, my debt problem is solved."

What is wrong? Consolidation restructures debt — it does not reduce the principal owed. If the borrower accumulates new debt after consolidating, they now have both the consolidation loan and new balances. Consolidation only helps if the rate is genuinely lower and new debt is avoided.

Common Misconceptions

Misconception 1

"I can't afford to pay more than the minimum, so minimum payments are fine." Minimum payments keep an account current, but they do not represent responsible debt management for high-interest revolving balances. Even a small amount above the minimum accelerates repayment significantly. The goal should be to increase payments whenever possible.

Misconception 2

"Paying off a loan early will hurt my credit score." Paying off an installment loan early may cause a slight, temporary reduction in score due to reduced account diversity. However, the long-term financial benefit of eliminating interest charges almost always outweighs any minor, temporary score effect.

Misconception 3

"If I ignore collection notices, the debt will disappear after a while." Unpaid debts can remain on a credit report for up to seven years. The statute of limitations on collecting a debt varies by type and state. Ignoring debt does not eliminate it — it can resurface, affect credit, and lead to legal judgment. Addressing debt through legitimate channels is nearly always better than avoidance.

Review Questions

Chapter 12 Review
Covers all major concepts, calculations, and applications from Chapter 12
Conceptual Questions
  1. What is the difference between an installment loan and revolving credit? Give two examples of each.
  2. Explain why secured loans typically carry lower interest rates than unsecured loans. What does the lender gain from requiring collateral?
  3. What does APR measure, and why is it more useful than the stated interest rate when comparing loan offers?
  4. Define amortization and explain why early loan payments are more heavily weighted toward interest than later payments.
  5. What is the debt-to-income ratio? How do lenders typically interpret different DTI levels?
  6. Describe the debt avalanche and debt snowball strategies. What does each optimize for, and when might each be preferable?
  7. What are three warning signs that suggest a borrower is experiencing debt stress?
  8. What is a Debt Management Plan, and what type of organization typically offers them?
Application Questions
  1. A borrower is offered two loans for $7,500:
    Option A: 7% APR, 36 months, ~$231.55/month
    Option B: 11% APR, 60 months, ~$163.14/month
    Calculate total interest paid under each. Which is more expensive overall? Which has the lower monthly payment?
  2. A credit card balance of $1,800 accrues interest at 19.5% APR. Calculate the interest portion of next month's payment (monthly rate = 19.5% ÷ 12). If the minimum payment is $36 (2% of balance), how much of that payment actually reduces the balance?
  3. Describe how making extra principal payments early in an amortizing loan reduces total interest cost. Use the concept of amortization in your explanation.
  4. A household has gross monthly income of $5,600 and the following monthly debts: mortgage $1,440, car loan $340, student loan $225, credit card minimum $60. Calculate their DTI. Does this suggest significant additional borrowing capacity, or are they approaching their limit?

Mixed Review

These questions review material from earlier chapters.

  1. Explain the difference between gross income and net income. Why does this distinction matter when calculating a debt-to-income ratio? (Chapters 3 and 13)
  2. A savings account offers 4.2% APY. A credit card charges 22% APR. A borrower carries a $500 credit card balance and also has $500 in a savings account. What would happen to their net financial position if they used the savings to pay off the credit card? (Chapter 10)
  3. What is a credit utilization ratio, and how does carrying high credit card balances affect a borrower's credit score? (Chapter 11)
  4. A borrower is one month behind on both a car loan (secured) and a credit card (unsecured). Which should they prioritize paying? What are the immediate consequences of default for each? (Chapters 11–12)
  5. Compound interest works in favor of savers. Explain how that same mathematical principle works against a borrower who carries a credit card balance and makes only minimum payments. (Chapter 10)

Real-World Applications

  1. Sticker price versus total cost. A car dealership advertises "Only $259/month!" The loan term is 72 months. Calculate the total amount paid. Is monthly payment a good way to evaluate a car purchase? What additional information does a careful buyer need?
  2. The cost of cash advances. Credit cards typically charge a higher rate on cash advances (often 25%–30% APR) than on purchases, with no grace period. Calculate the first month's interest on a $500 cash advance at 28% APR. Compare this to the first month's interest on a $500 purchase balance at 22% APR.
  3. Student loan reality check. A student borrows $27,000 in federal student loans at an average rate of 5.5% and repays on a 10-year standard plan. Monthly payments are approximately $293. Calculate total repayment and total interest paid. How does this change on a 20-year repayment (monthly payment ≈ $186)?
  4. Emergency borrowing tradeoffs. A household faces a $1,200 emergency car repair. Options: (a) credit card at 21% APR; (b) credit union personal loan at 9% APR, 12 months; (c) payday loan with $15 fee per $100 borrowed, repaid in two weeks. Calculate the effective cost of option (c) for two weeks. Convert to an approximate annual rate (multiply the two-week rate by 26). Compare all three options.
  5. Evaluating "0% financing." A furniture store advertises "0% financing for 12 months." Fine print: if the balance is not paid in full by month 12, the regular APR of 29.99% applies retroactively from the date of purchase. A customer buys $1,600 of furniture. Calculate the retroactive interest charge if they carry a $300 balance at month 12. What is the real cost of this deal?
Looking Ahead
Chapter 13: Taxes, Paychecks, and Withholding

Chapter 12 covered the borrower's side of the financial relationship: how debt is structured, what it costs, and how to repay it efficiently. Chapter 13 turns to the tax side of income. Before borrowers and savers can act on any financial plan, they need to understand how much of their earnings they actually keep after taxes. Chapter 13 introduces taxes through the paycheck — gross pay, net pay, income tax withholding, payroll taxes, Social Security, Medicare, pre-tax deductions, and take-home pay. Understanding the distance between gross income and spendable income is foundational to every budgeting, saving, and debt repayment calculation a person will ever make.

MGU Library Connection
  • Chapter 10: Interest, Compound Growth, and Time Value of Money — the mathematics behind interest accumulation
  • Chapter 11: Credit Scores, Credit Reports, and Borrowing Basics — how debt behavior shapes credit history
  • Chapter 13: Taxes, Paychecks, and Withholding — the gap between gross and net income affects every repayment calculation
  • Chapter 22: Housing, Renting, Mortgages, and Homeownership — mortgage as the largest installment loan most households carry
  • Chapter 26: Economic Conditions, Inflation, Interest Rates, and Personal Finance — how Federal Reserve policy affects borrowing costs
  • Appendix D: Credit and Debt Reference — quick reference for key terms and formulas
  • Appendix E: Interest and Time Value Reference — APR, APY, simple and compound interest formulas