Questions
Questions

CO.BU.Quantitative_Business_Prep Module 5 Quiz

Single choice

You want to withdraw $10,000 from an account in 4 years and $8,000 from the same account in 8 years, leaving a balance of $0. If you will earn 8% on your investment, how much must you deposit today to satisfy these future withdrawals?

Options
A.$11,672.45
B.$13,272.38
C.$12,689.39
D.$14,425.52
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Step-by-Step Analysis
To find how much must be deposited today, we should compute the present value of each future withdrawal at an 8% annual return and sum them. First, evaluate the present value of $10,000 to be withdrawn in 4 years. The discount factor for 4 years at 8% is (1.08)^4 ≈ 1.36049. So PV1 = 10,000 / 1.36049 ≈ 7,350 (approximate......Login to view full explanation

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