Podcast
Questions and Answers
Match the investors with their investment strategies:
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:
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:
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:
Match the concepts with their effects on mortgage principal repayment:
Match the investment characteristics with the corresponding investor preference:
Match the investment characteristics with the corresponding investor preference:
Flashcards
Two-period consumption model
Two-period consumption model
A model that analyzes investment and consumption decisions over two periods (now and next year).
Investor A (patient)
Investor A (patient)
Investor who prefers future consumption and will prioritize investing to maximize future earnings.
Investor B (impatient)
Investor B (impatient)
Investor who prefers current consumption and will prioritize maximizing current earnings.
Investment opportunity (real)
Investment opportunity (real)
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Risk-free borrowing/lending
Risk-free borrowing/lending
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Net Present Value (NPV)
Net Present Value (NPV)
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Mortgage
Mortgage
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Down payment
Down payment
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Monthly compounding
Monthly compounding
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Loan principal repayment
Loan principal repayment
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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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