Household Finance & Major Decisions — Chapter Practice, Grade 12

5 focused units, followed by an evidence workshop, chapter review, and chapter quiz.

Problem 1

Why must a budget define its period and categories?
Answer and explanation

Income and commitments can use different timing and definitions. A consistent period prevents misleading subtraction, while categories reveal whether saving, spending, and payments are included once. Planned amounts also need comparison with actual receipts and obligations.

Problem 2

Why can a positive monthly total coexist with an earlier payment problem?
Answer and explanation

The resources arrive after the bill is due. In the supplied example, $50 cannot meet $80 on day ten; the later $100 does not remove that date’s $30 gap. Track balances over time and compare feasible arrangements.

Problem 3

Why should a saving plan not rely on an uncertain return as a guaranteed contribution?
Answer and explanation

The result can differ from the forecast and access may be constrained. Distinguish contributions from returns and compare the goal’s timing with liquidity and risk. State the uncertainty rather than promising a fixed outcome.

Problem 4

What does a stress test add beyond an average budget?
Answer and explanation

It examines whether timing, resources, and obligations remain feasible under specified changes. It identifies gaps and alternatives that an average can hide. The conclusion depends on the scenario and should not be treated as a guaranteed forecast.

Problem 5

Fictional month: take-home income $1,200; spending $900; saving $100. Separately, cash before an early bill is $50 and that bill is $80, before the next receipt. Calculate the unallocated margin and early cash gap.
Answer and explanation

The monthly unallocated margin is $200. At the early date, the $80 bill exceeds $50 available cash by $30. These are different measures: the period’s planned balance and a date-specific cash constraint. The packet does not supply a free borrowing option or every actual payment, so a feasible revision needs further timing and resource information.

Subtract the two stated allocations from income.

Compare available cash with the early obligation.

Keep the measures separate.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 6

Does a budget shortfall prove irresponsible behavior?
Answer and explanation

No. Income, obligations, timing, shocks, and constraints can produce a gap. Analyze the fictional records and feasible alternatives without assigning a moral judgment or requiring personal household disclosure.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 7

Invented monthly take-home income $900, spending $700, saving allocation $100. A $150 unexpected cost then arises with other lines unchanged. Calculate the margin and revised gap.
Answer and explanation

The original unallocated margin is $100. The extra $150 exceeds it by $50 if other commitments remain unchanged. That identifies a revision need, not a moral judgment or proof that a particular borrowing option exists.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 8

A goal requires $300 in ten months. Contributions are $25 monthly with no interest or starting amount. Calculate the gap.
Answer and explanation

Contributions total $250, leaving $50. Compare feasible changes to contributions, date, or goal under stated constraints. Do not fill the gap with a guaranteed market return or assume every household can increase contributions.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 9

Why is a quoted interest rate insufficient for comparing all borrowing costs?
Answer and explanation

Fees, timing, term, principal changes, compounding, and other conditions can differ. Compare the complete schedule and amount received, using the applicable disclosure definitions. A single rate does not establish the entire cost or feasibility.

Problem 10

Why is the lower monthly payment not proof of the lower total cost?
Answer and explanation

Payments can continue longer or include other obligations. In the supplied offers, 24×$50 exceeds 12×$90. Compare total repayment, timing, and conditions alongside the ability to meet each installment.

Problem 11

Why does compounding differ from adding the same interest amount each period?
Answer and explanation

The rate applies to a changing balance including prior accumulated interest under the model. The second month adds $1.01, not $1, to the supplied $101 balance. Payments and contract rules can change the actual process.

Problem 12

Why is a favorable credit score not a guarantee of affordable repayment?
Answer and explanation

A score reflects selected information through a model, not every current budget, obligation, income change, or shock. Affordability needs a dated cash-flow and terms comparison. Future outcomes remain uncertain.

Problem 13

Both supply $1,000 with no extra fees: A is 12×$90; B is 24×$50. Rates and other schedules are not supplied. Calculate total repayments and charges; explain a limit.
Answer and explanation

A repays $1,080 with an $80 simplified charge; B repays $1,200 with a $200 charge. B’s smaller installment does not make it cheaper overall. Payment timing, affordability, and conditions matter, and these totals alone are not formal APR calculations. The packet supports a defined cost comparison rather than a recommendation for a real borrower.

Multiply installment by count.

Subtract $1,000 principal.

Separate total cost from affordability and formal APR.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 14

Does a credit score establish a person’s moral worth?
Answer and explanation

No. It summarizes selected credit information under a model. It is not a measure of character, complete wealth, or every constraint. Evaluate records and terms without stigmatizing people or requiring private disclosures.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 15

Invented $500 loans with no other charges: A ten payments of $55; B twenty of $30. Calculate totals and charges.
Answer and explanation

A repays $550 with a $50 charge; B $600 with a $100 charge. B has a smaller installment and larger total cost. These totals are not formal APR computations; timing, affordability, and conditions remain relevant.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 16

Under a one-percent monthly growth model without payment, calculate two months on $200.
Answer and explanation

After one month the balance is $202; after two it is $204.02. The second growth applies to $202. The model excludes payments, fees, and contract-specific rules, so it does not describe every actual credit account.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 17

Why must an investment’s claim and liquidity be identified?
Answer and explanation

They determine rights, access, and relevant risks. Ownership, debt, and deposits differ, and a resource may lose value or be unavailable when needed. A higher advertised return does not resolve those conditions.

Problem 18

Why does the two-year compounded result exceed the simple-interest result?
Answer and explanation

The second year earns five percent on $1,050 rather than only the original $1,000. That adds $52.50 instead of $50. The $2.50 difference follows the constant-rate, no-cost model, not a promised market outcome.

Problem 19

Why should fee timing and calculation basis be specified?
Answer and explanation

A fixed dollar fee and a percentage charged on different balances can produce different outcomes. Define the balance, date, and excluded effects before calculating net return. Otherwise the comparison can overstate the amount retained.

Problem 20

Why can a portfolio with many holdings remain concentrated?
Answer and explanation

The holdings may share an industry, borrower, region, or common risk. Different names do not guarantee independent exposures. Diversification can reduce certain risks while leaving broad market and other losses possible.

Problem 21

Invented model: $1,000 starting amount; five percent annual compounding for two years; no fees, tax, additions, withdrawals, or loss. Calculate the balance and distinguish it from a forecast.
Answer and explanation

The balance is $1,102.50, including $102.50 modeled growth. Simple interest under the comparison gives $1,100. The $2.50 difference comes from growth on prior growth. The model assumes a constant positive rate and excludes actual risk, costs, tax, and inflation; it is not a promised return or an instruction to choose an investment.

Apply 1.05 twice.

Compare with $1,100 simple-interest total.

State excluded risks and costs.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 22

Does diversification guarantee no loss?
Answer and explanation

No. It can reduce some concentration risks, while common market changes, liquidity, credit, inflation, or fees can still matter. Explain exposures and conditions rather than treating the number of holdings as a guarantee.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 23

Invented $200 grows five percent annually for two years without costs or changes. Calculate the final balance.
Answer and explanation

The balance is $220.50 from $200×1.05×1.05. It follows a constant-rate model, not a guaranteed investment result. Actual losses, fees, tax, inflation, timing, and liquidity are excluded.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 24

Invented one-year $500 investment gains $25 and pays a $5 fee. Calculate the net money return before excluded effects.
Answer and explanation

The ending value is $520 and net gain $20, or four percent of the initial $500 under these dollar-cost assumptions. Inflation and tax are excluded; differently timed or based fees would require another calculation.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 25

Why is the marginal rate different from the average rate in the example?
Answer and explanation

Only the income above $10,000 in the supplied range faces twenty percent, while the first portion faces ten percent. Total tax is $2,000, giving a 13.33 percent average. The next increment’s rate is twenty percent under this invented schedule.

Problem 26

Why is a refund not necessarily free extra income?
Answer and explanation

It can return money already paid beyond the final liability. Compare payments, liability, and other adjustments. The supplied $200 refund is an excess-payment return, not proof of a new $200 gain unrelated to prior withholding.

Problem 27

What assumptions support an $800 insurer payment in the example?
Answer and explanation

The $1,000 loss must be covered, with a $200 deductible and no other limiting provision in the simplified model. The payment is not valid for every contract or event. Premiums are a separate cost.

Problem 28

Why is the smallest premium insufficient to rank insurance options?
Answer and explanation

Coverage, exclusions, deductibles, limits, and the ability to bear remaining loss can differ. The price is one dimension. Compare relevant scenarios and contract terms without assuming every loss is covered.

Problem 29

Teaching-only brackets: first $10,000 at ten percent; next $10,000 at twenty percent; taxable income $15,000. No other provisions apply. Calculate tax, average rate, and marginal rate.
Answer and explanation

Tax is $2,000. The average rate is about 13.33 percent, and the marginal rate within the supplied second range is twenty percent. Applying twenty percent to all income would incorrectly give $3,000. These are invented teaching brackets, not current tax rates or a filing calculation.

Tax each portion separately.

Divide total by taxable income.

Identify the next increment’s bracket.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 30

Does paying an insurance premium prove every loss is covered?
Answer and explanation

No. The contract defines covered events, eligibility, deductibles, limits, and exclusions. Compare the particular scenario with those terms. Payment of a premium establishes participation in an arrangement, not unlimited reimbursement.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 31

Use the unit’s invented brackets with $12,000 taxable income. Calculate tax and average rate.
Answer and explanation

The first $10,000 yields $1,000 and the next $2,000 at twenty percent yields $400, totaling $1,400. The average is about 11.67 percent. These are teaching-only brackets, not current filing rules.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 32

A fully covered invented $900 loss has a $150 deductible and no other limits or sharing. Premium is separately $80. Calculate claim payment and the insured’s stated costs.
Answer and explanation

The insurer pays $750. The insured bears $150 of the loss plus the separate $80 premium, totaling $230 under the supplied scenario. Coverage assumptions and exclusions are essential; this is not every real contract.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 33

Why does a loan not reduce net price in the same way as a grant?
Answer and explanation

A grant can reduce the amount the student must finance under its conditions, while a loan creates a repayment obligation. Financing $3,000 of a $4,000 net price does not make the education cost $1,000. Distinguish cost from current funding.

Problem 34

Why does the larger remaining weekly amount not settle the work-offer comparison?
Answer and explanation

Hours, commute time, stability, benefits, deductions, and alternatives can differ. The supplied amounts describe one limited measure. A judgment should state priorities and missing information rather than treat a $10 difference as universal superiority.

Problem 35

Why is a deposit relevant even if it may later be returned?
Answer and explanation

It requires resources at entry and may be unavailable during the tenancy. Return depends on terms and conditions. Cash-flow feasibility and ultimate cost are related but different, so label each.

Problem 36

What should a comparison do when key terms are missing?
Answer and explanation

Identify the missing cost, timing, obligation, or uncertainty and explain why it affects feasibility or ranking. Use conditional conclusions and request the relevant written information for a real decision; do not fill gaps with guarantees.

Problem 37

Invented annual education cost $6,000, grant $2,000, loan $3,000; no other resources or charges are supplied. Calculate net price, immediate uncovered amount, and loan obligation.
Answer and explanation

Net price is $4,000. The $3,000 loan finances part of it, leaving $1,000 uncovered under the supplied resources, while creating a $3,000 principal obligation plus any terms not supplied. It does not reduce net price to $1,000. Timing, loan cost, grant conditions, and other expenses remain necessary for a fuller feasibility comparison.

Subtract the grant from cost.

Compare available financing with net price.

Keep borrowed funds separate from price reduction.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 38

Would a program’s average graduate earnings guarantee one student’s earnings?
Answer and explanation

No. Averages and forecasts describe specified groups and conditions. Individual outcomes, completion, location, employment, costs, and timing can differ. Compare definitions and uncertainty without ranking personal worth by a credential.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 39

Invented annual education cost $5,000, grant $1,500, loan $2,000. Calculate net price and uncovered amount.
Answer and explanation

Net price is $3,500; financing covers $2,000 and leaves $1,500 uncovered under the supplied resources. The loan creates an obligation rather than a grant-like price reduction. Other costs, dates, and terms are not supplied.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

Problem 40

Invented rent $600 and entry deposit $900, with no other initial charges. Calculate first-month cash need and distinguish it from later recurring rent.
Answer and explanation

Initial need is $1,500, while later monthly rent is $600 under these assumptions. Deposit return and access depend on terms, so its cash constraint differs from guaranteed permanent spending. Utilities and other costs are excluded.

Response criteria

  • Explain the relevant institution or economic concept accurately; show correct calculations where needed.
  • Connect supplied evidence and stated assumptions to an explained conclusion.
  • Compare feasible options and their effects on different people without stereotypes.
  • Identify a limitation, tradeoff, uncertainty, or condition that qualifies the conclusion.

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