Consumption and Mortgage Calculations Quiz

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Questions and Answers

Match the investors with their investment strategies:

Investor A = Invest in the real opportunity to maximize t=1 consumption Investor B = Consume the entire income at t=0 Both Investors = Have an income of $200,000 today

Match the terms with their definitions in the context of the consumption model:

NPV Rule = Advice to accept investments that increase wealth t=0 = Current period of consumption t=1 = Future period of consumption Investment Opportunity = Cost of $200,000 with a return of $215,000

Match the loan components with their characteristics:

Down Payment = 20% of the house's value Total House Value = $2 million Annual Interest Rate = 6% with monthly compounding Mortgage Duration = 25 years

Match the concepts with their effects on mortgage principal repayment:

<p>First Year Payment = Percentage of principal repayment is low Subsequent Years Payment = Percentage of principal repayment increases Fixed Monthly Payments = Remain constant throughout the loan duration Interest Payment = Higher in the initial years of the loan</p> Signup and view all the answers

Match the investment characteristics with the corresponding investor preference:

<p>Patient Investor = Prefers to wait for future consumption Impatient Investor = Wants immediate consumption Real Investment Opportunity = Returns $215,000 at t=1 Risk-free Loan Access = Available to both investors</p> Signup and view all the answers

Flashcards

Two-period consumption model

A model that analyzes investment and consumption decisions over two periods (now and next year).

Investor A (patient)

Investor who prefers future consumption and will prioritize investing to maximize future earnings.

Investor B (impatient)

Investor who prefers current consumption and will prioritize maximizing current earnings.

Investment opportunity (real)

A project that requires an upfront cost but yields a potentially greater profit.

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Risk-free borrowing/lending

Loans or investments with no risk of default.

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Net Present Value (NPV)

The difference between the present value of future cash inflows and the present value of future cash outflows.

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Mortgage

A loan used to finance the purchase of a house or other real estate, repaid through regular payments.

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Down payment

The initial payment made to purchase an asset, often a portion of the total cost.

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Monthly compounding

Calculating interest on a loan or investment by multiplying the principal (balance) periodically, at the end of each month.

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Loan principal repayment

The portion of each mortgage payment that goes toward reducing the total amount of the loan (the debt).

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Study Notes

Consumption Model

  • Two-period model: now (t=0) and next year (t=1)
  • Two investors:
    • Investor A: patient, wants to consume max at t=1
    • Investor B: impatient, wants to consume max now
  • Both have $200,000 income today, no income next year
  • Access to investment opportunity: $200,000 now, returns $215,000 at t=1
  • Risk-free borrowing/lending at 10% annual rate
  • Investment and consumption decisions, cash flows, and NPV rule explained for each investor

Mortgage Calculation

  • Sydney house purchased for $2 million
  • 20% down payment, $400,000
  • 25-year mortgage for remaining $1.6 million
  • Fixed monthly payments, first payment due next month
  • 6% annual interest rate, monthly compounding
  • Calculate principal repayment in the first year as a percentage of total annual mortgage payment
  • Determine whether this percentage will increase, decrease, or remain constant in subsequent years and explain why.

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