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Example of Calculating Present Value
This node provides an example of discounting a future payment to its present value. Based on a 2% annual discount rate, a $1 payment that will be received in 10 years has a present value of $0.82. Such calculations are often organized into tables to display the present value of $1 across different discount rates and time periods.
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CORE Econ
Economics
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Economy
Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.9 Lenders and borrowers and differences in wealth - The Economy 2.0 Microeconomics @ CORE Econ
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Formula for the Discount Rate (ρ)
Intergenerational Discounting in Environmental Economics
Example of Calculating Present Value
Optimality Condition for Intertemporal Choice: MRS = MRT
Two individuals, Sam and Maria, are each offered a choice between receiving $500 today or a guaranteed payment of $550 in one year. Sam chooses to receive the $500 today, while Maria chooses to wait for the $550 in one year. Based solely on this information, what can be inferred about their individual valuations of present versus future consumption?
A person's 'subjective discount rate' reflects how much they value having something now compared to having it in the future. A high discount rate indicates a strong preference for present benefits over future ones. Which of the following individuals is demonstrating behavior consistent with a high discount rate?
Financial Decision-Making and Personal Valuation
An individual's 'discount rate' reflects how much they value receiving something now compared to receiving it in the future. A high rate indicates a strong preference for the present, while a low rate indicates a willingness to wait for a future benefit. Match each behavior to the discount rate it most likely represents.
In the context of intertemporal choice, a person with a high subjective discount rate is necessarily making an irrational or poor financial decision.
Explaining Divergent Choices
Evaluating Personal Financial Philosophies
The economic term for the measure of an individual's impatience, which quantifies their preference for receiving a good or service now rather than later, is known as the ____.
An individual's personal valuation of receiving a benefit now versus in the future can be described by their subjective discount rate. A lower rate indicates more 'patience,' or a greater willingness to wait for a future reward. Which of the following individuals is demonstrating behavior consistent with the lowest subjective discount rate?
An individual with a subjective discount rate of zero would be indifferent between receiving a specific sum of money today and receiving the exact same sum of money one year from now, assuming no risk or changes in purchasing power.
Learn After
Activity: Evaluating Statements on Present Value
Analyze each scenario and match it to the institutional concept it best exemplifies. Note that some concepts may be used more than once.
A recent graduate is offered a signing bonus for a new job with two payment options. Option A is to receive $5,000 immediately. Option B is to receive $5,500 in exactly two years. If the graduate's personal annual discount rate is 8%, which option has a higher present value and is therefore the financially superior choice?
Calculating the Present Value of a Future Prize
An investment promises a guaranteed payout of $10,000 in exactly five years. Four different investors are evaluating this opportunity, each with a different personal annual discount rate reflecting their individual valuation of future money. Which investor will calculate the lowest present value for this future payout?
An investment promises a guaranteed payout of $10,000 in exactly five years. Four different investors are evaluating this opportunity, each with a different personal annual discount rate reflecting their individual valuation of future money. Which investor will calculate the lowest present value for this future payout?
Holding the annual discount rate constant, the present value of a $1,000 payment to be received in 5 years is greater than the present value of the same $1,000 payment to be received in 10 years.
Investment Decision for a Small Business
A student is calculating the present value of a $1,000 payment they will receive in 5 years, using a 10% annual discount rate. They perform the following calculation: $1,000 x (1.10)^5 = $1,610.51, and conclude the money is worth more today than in the future. What is the primary conceptual error in the student's approach?
A company is evaluating two potential investments. Investment A will yield a guaranteed return of $50,000 in 3 years. Investment B will yield the same guaranteed return of $50,000, but in 7 years. How will an increase in the annual discount rate affect the calculated present value of these two investments?
To find the present value of a future sum of money, you must apply a series of calculations using the future value, the number of time periods, and the discount rate. Arrange the following mathematical operations in the correct sequence.