(COMPLETE ANSWERS)
2025 - DUE 8 August 2025
For assistance contact
Email:
, 1. Mapex Ltd. – Project Evaluation
(a) Relevant Cash Flows (Adjusting for Inflation)
Initial Costs (Year 0):
Machinery: R800,000
Installation: R200,000
Total initial investment = R1,000,000 (already in nominal terms)
Annual Sales (in real terms): R1,500,000
Convert to nominal:
Nominal Sales = 1,500,000 × (1.04)^t for t = 1 to 4
Variable Costs: 60% of sales → adjust with same inflation
Fixed Costs: R200,000 real → adjust with inflation
Sales Var. Tax Net Add
Yea Fixed Depreciatio Net Cash
(Nominal Costs EBIT (27% Incom Depreciatio
r Costs n Flow
) (60%) ) e n
208,00 166,00 44,82 121,18
1 1,560,000 936,000 250,000 250,000 371,180
0 0 0 0
216,32 182,64 49,30 133,33
2 1,622,400 973,440 250,000 250,000 383,337
0 0 3 7
1,012,37 224,97 199,94 53,98 145,95
3 1,687,296 250,000 250,000 395,959
8 3 5 6 9
1,052,87 234,00 217,91 58,83 159,07 1,609,075
4 1,754,788 250,000 250,000
3 5 0 5 5 *
*Year 4 includes R1,200,000 salvage value (already nominal) added to NCF after tax (no tax on
gain assumed for simplicity).
(b) Discount Rate (Nominal)
Risk-Free Rate (rₓ) = 10%
Market Premium (RP) = 5%
Beta (β) = 1.5
CAPM:
Nominal Cost of Equity = 10% + 1.5 × 5% = 17.5%
Use 17.5% as the discount rate (nominal cash flows need nominal rate).