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Answer: Option 3: 20 annual payments of $13,000, starting immediately.
**Explanation:** - **Option 1** has a present value (PV) of $136,000, as it is a lump sum received today. - **Option 2** is an ordinary annuity with 30 payments of $12,000 each. Using the formula for the PV of an ordinary annuity, the PV is calculated as $135,093. - **Option 3** is an annuity due with 20 payments of $13,000 each. Using the formula for the PV of an annuity due, the PV is calculated as $137,847. Since $137,847 (Option 3) > $136,000 (Option 1) > $135,093 (Option 2), **Option 3** has the highest present value. Incorrect calculations for Option 3 (treating it as an ordinary annuity) or ignoring the discount rate for Option 2 would lead to incorrect conclusions.
Author: LeetQuiz Editorial Team
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An investor is evaluating three payment options from an investment with an annual discount rate of 8%. The options are:
· Option 1: A lump sum of $136,000 today.
· Option 2: 30 annual payments of $12,000, starting one year from today.
· Option 3: 20 annual payments of $13,000, starting immediately.
Which option has the highest present value?
A
Option 1: A lump sum of $136,000 today.
B
Option 2: 30 annual payments of $12,000, starting one year from today.
C
Option 3: 20 annual payments of $13,000, starting immediately.
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