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?

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.