PGMP · Question #267
An organization is considering a new program. The business analyst believes that the benefits to the organization would equate to $1,550,000 in five years. If the rate of return for this program is si
The correct answer is A. $1,158,250. To find the maximum investment (present value), use the Present Value formula: PV = FV ÷ (1 + r)^n, where FV = $1,550,000, r = 6% (0.06), and n = 5 years. PV = $1,550,000 ÷ (1.06)^5 = $1,550,000 ÷ 1.3382 ≈ $1,158,250. The organization should invest no more than $1,158,250 today t
Question
An organization is considering a new program. The business analyst believes that the benefits to the organization would equate to $1,550,000 in five years. If the rate of return for this program is six percent what is the maximum amount the organization should invest in this program?
Options
- A$1,158,250
- BIt depends on the internal decision making process.
- C$1,550,000
- D$2,074,249
How the community answered
(24 responses)- A79% (19)
- B4% (1)
- C13% (3)
- D4% (1)
Explanation
To find the maximum investment (present value), use the Present Value formula: PV = FV ÷ (1 + r)^n, where FV = $1,550,000, r = 6% (0.06), and n = 5 years. PV = $1,550,000 ÷ (1.06)^5 = $1,550,000 ÷ 1.3382 ≈ $1,158,250. The organization should invest no more than $1,158,250 today to break even on a $1,550,000 benefit in five years at a 6% rate of return. Investing more than this would yield a negative net present value (NPV), meaning the program would not be financially justified.
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