Study Case 4.5 Ranking using Profitability indicators, as NPV and PI

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Project Portfolio Ranking Example

Ten investment opportunities are available for the company this year. The budget is limited to 700,00€, though. What could be possible alternatives for the project investment portfolio?

Proposal Nr. PI Initial investment [k€]
1 0.85 224
2 1.04 372
3 0.72 541
4 1.12 441
5 0.91 325
6 1.06 241
7 1.14 552
8 1.16 370
9 0.64 650
10 0.65 710

Proposal Ranking

First step: Eliminate all not profitable proposals and rank them according to the PI:

Proposal Nr.PIInitial Investment [k€]
81.16370
71.14552
41.12441
61.06241
21.04372

Possible Portfolios

  • Combo 1: 8+6
  • Combo 2: 7
  • Combo 3: 4+6
  • Combo 4: 6+2

Most Economic Combination

NPV = (Sum(inflows) – Sum(outflows)) / Discount factor = Sum(IF)/D – Sum(OF)/D
PI = Sum(IF)/D / Sum(OF)/D → Sum(IF)/D = PI * Sum(OF)/D
Therefore:

NPV = PI * Sum(OF)/D – Sum(OF)/D
→ NPV = Sum(OF)/D (PI – 1)
→ For initial investment D = 1 (remember power 0)
→ So, if there is only initial investment → NPV = Initial investment * (PI – 1)

NPV Calculations

  • Combo 1: 8+6: 370 * 0.16 + 241 * 0.06 = 73.7
  • Combo 2: 7: 552 * 0.14 = 77.3
  • Combo 3: 4+6: 441 * 0.12 + 241 * 0.06 = 67.4
  • Combo 4: 6+2: 241 * 0.06 + 372 * 0.04 = 29.3

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