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Jake borrows $2,000 from Sally on January 1, 2014 and promises to repay Sally on

ID: 1204617 • Letter: J

Question

Jake borrows $2,000 from Sally on January 1, 2014 and promises to repay Sally on December 31, 2019, a payment that will result in Sally earning an annual interest rate of 8%. Which of the following expressions correctly states the value of Jake's payment on December 31, 2013?

A. ($2,000)(1 + 0.08)5

B.

C. ($2,000) / (1 + 0.08)5

D. ($2,000)(1 + .08)

The concept of present value gives decision makers all of the following advantages EXCEPT to:

A. simplify any cost-benefit analysis by always assuming that any costs associated with a project are incurred before benefits are realized.

B. evaluate a project as if all relevant costs and benefits were occurring today rather than at different times.

C. factor out the complication created by time.

D.

compare the value of a dollar realized today with the value of a dollar realized later

($2,000)(1 + 0.08) + ($2,000)(1 + 0.08)2 + ($2,000)(1 + 0.08)3 + ($2,000)(1 + 0.08)4 + ($2,000)(1 + 0.08)5

Explanation / Answer

Answer 1:

Option C. Present value = Future Value / (1 + discount rate)^ n , here future value = $2000, Interest rate = 8 per cent and n = 65 years.

Answer 2:

Option A. It bassumes the cost incured and benefits realized are at the same time.

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