Medium2 marksMultiple Choice
Investment AppraisalSection AInvestment AppraisalCapital RationingProfitability Index

ACCA · Question 11 · Investment Appraisal

Section A

BioGenix is facing single-period capital rationing. It has $5m available to invest and is considering four divisible projects.
Project A: Outlay $2m, NPV $0.6m
Project B: Outlay $3m, NPV $1.2m
Project C: Outlay $1.5m, NPV $0.5m
Project D: Outlay $2.5m, NPV $0.8m

In what order should the projects be ranked to maximize NPV?

Answer options:

A.

B, D, A, C

B.

B, C, D, A

C.

A, C, D, B

D.

C, A, D, B

How to approach this question

Calculate the Profitability Index (PI) for each project. PI = NPV / Initial Outlay. Rank the projects from highest PI to lowest PI.

Full Answer

B.B, C, D, A✓ Correct
Under single-period capital rationing with divisible projects, we rank projects using the Profitability Index (PI) to maximize return per dollar of scarce capital. PI = NPV / Outlay. Project A: 0.6 / 2.0 = 0.30 Project B: 1.2 / 3.0 = 0.40 Project C: 0.5 / 1.5 = 0.33 Project D: 0.8 / 2.5 = 0.32 Ranking from highest to lowest: B, C, D, A.

Common mistakes

Ranking by absolute NPV (which is only appropriate for indivisible projects).

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