You have three debts: $500 at 8% APR, $2,000 at 22% APR, and $800 at 12% APR. You have $200/month extra beyond minimum payments. Under the avalanche method, which debt receives your extra payments first?
AThe $500 debt — it is the smallest balance and can be eliminated the fastest
BThe $2,000 debt — it has the highest interest rate and is costing you the most each month
CThe $800 debt — targeting the middle debt first balances speed and interest savings
DDivide the $200 equally among all three debts to reduce all balances simultaneously
The avalanche method directs extra payments to the debt with the highest interest rate, regardless of balance size. The 22% APR debt is accruing interest at the fastest rate, so eliminating it first minimizes the total interest paid over the entire payoff period. Option A describes the snowball method — targeting smallest balance first for psychological momentum. Option D (splitting extra payments) is the least mathematically efficient approach because it dilutes the attack on the most expensive debt.
Question 2 Multiple Choice
Someone consolidates three high-interest credit cards into a single personal loan at a lower rate. They continue spending at the same level as before. What is the most likely outcome over the next two years?
ATheir total debt decreases because the lower interest rate reduces how fast balances compound
BThey achieve debt freedom faster because managing one payment is easier than three
CThey rebuild similar balances on the now-paid-off credit cards while also repaying the consolidation loan, ending up with more total debt
DTheir credit score permanently improves because consolidation signals financial responsibility to lenders
Debt consolidation addresses the interest rate, not the spending behavior that created the debt. If spending habits remain unchanged, the paid-off credit cards quickly accumulate new balances — and the person now has both the consolidation loan and rebuilt card debt. Research consistently shows this pattern: consolidation without behavioral change often increases total debt within two to three years. The lower interest rate only helps if the root cause (overspending relative to income) is fixed. Option A is partially true in isolation, but misses the behavioral reality.
Question 3 True / False
Under the avalanche method, you will always pay less total interest than under the snowball method.
TTrue
FFalse
Answer: True
True — mathematically, targeting the highest-interest debt first minimizes total interest paid, because you reduce the most expensive borrowing as quickly as possible. Every month a high-interest balance persists, it accrues more interest than a low-interest balance of the same size would. The snowball method (targeting smallest balance first) sacrifices some mathematical efficiency for psychological benefit — quick wins from eliminating small debts help sustain motivation. The snowball method is not irrational, but it is more expensive in pure interest terms.
Question 4 True / False
Carrying a low-interest mortgage while investing surplus income in higher-returning assets can sometimes be a financially rational decision.
TTrue
FFalse
Answer: True
True. The common misconception 'all debt is bad' ignores the concept of interest rate arbitrage. If your mortgage rate is 4% and your investments earn 8% on average, you are effectively earning a 4% spread by investing rather than paying down the mortgage. This logic applies when the debt has a low, fixed rate and the asset is appreciating — a mortgage on a home or a low-rate student loan for a high-earning career. It does NOT apply to high-interest consumer debt (credit cards at 20%+ APR), where no reliable investment reliably beats that rate. Context and rate comparison are essential.
Question 5 Short Answer
Explain why two people with identical debts, identical incomes, and identical extra monthly cash might rationally choose different debt payoff strategies.
Think about your answer, then reveal below.
Model answer: The mathematically optimal choice (avalanche method) and the psychologically sustainable choice (snowball method) may differ for different people. A person who finds debt management highly motivating and can sustain a long-term attack on a large high-interest debt will benefit most from the avalanche. A person who struggles with motivation and risks abandoning the payoff plan entirely may do better with the snowball — the early wins from eliminating small debts create momentum that keeps them in the game. A plan that is mathematically suboptimal but actually followed beats an optimal plan that is abandoned. Rational choice includes realistic assessment of one's own behavioral patterns, not just interest rate calculations.
This is why financial advisors often recommend the snowball to clients who have tried and failed to stick with plans before. The 'best' strategy is the one you execute consistently — behavioral economics shows that motivation and completion are real constraints that pure financial math ignores.