Assignment 2 Semester 2 2025
2 2025
Unique Number:
Due date: 12 September 2025
QUESTION 1
A. NET PRESENT VALUE OF THE PROJECT
Cash Flow Analysis
Year 0 Year 1 Year 2 Year 3 Year 4 Year 5
Units sold 14,600,000 14,600,000 14,600,000 14,600,000 14,600,000
Price per unit R180.00 R185.40 R191.16 R196.89 R202.80
Total Revenue 2,628,000,000 2,706,840,000 2,788,046,000 2,871,687,000 2,957,838,000
Variable Costs (65%) -1,708,200,000 -1,759,446,000 -1,812,230,000 -1,866,597,000 -1,922,595,000
Contribution (35%) 919,800,000 947,394,000 975,816,000 1,005,090,000 1,035,243,000
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, For additional support +27 81 278 3372
QUESTION 1
A. NET PRESENT VALUE OF THE PROJECT
Cash Flow Analysis
Year 0 Year 1 Year 2 Year 3 Year 4 Year 5
Units sold 14,600,000 14,600,000 14,600,000 14,600,000 14,600,000
Price per unit R180.00 R185.40 R191.16 R196.89 R202.80
Total Revenue 2,628,000,000 2,706,840,000 2,788,046,000 2,871,687,000 2,957,838,000
Variable Costs (65%) -1,708,200,000 -1,759,446,000 -1,812,230,000 -1,866,597,000 -1,922,595,000
Contribution (35%) 919,800,000 947,394,000 975,816,000 1,005,090,000 1,035,243,000
Fixed Costs -414,000,000 -414,000,000 -414,000,000 -414,000,000 -414,000,000
Depreciation -138,000,000 -138,000,000 -138,000,000 -138,000,000 -138,000,000
EBIT 367,800,000 395,394,000 423,816,000 453,090,000 483,243,000
Tax (27%) -99,306,000 -106,756,380 -114,430,320 -122,334,300 -130,475,610
NOPAT 268,494,000 288,637,620 309,385,680 330,755,700 352,767,390
Add: Depreciation 138,000,000 138,000,000 138,000,000 138,000,000 138,000,000
Capital Allowances 46,575,000 34,931,250 26,198,438 19,648,828 14,736,621
Tax Shield
Initial Investment -690,000,000
Working Capital -115,000,000
Scrap Value 92,000,000
57,500,000
Net Cash Flow -805,000,000 453,069,000 461,568,870 473,584,118 488,404,528 655,003,011
, For additional support +27 81 278 3372
NPV Calculation at 16%
Year Cash Flow (R) PV Factor @ 16% Present Value (R)
0 (805,000,000) 1.0000 (805,000,000)
1 453,069,000 0.8621 390,576,724
2 461,568,870 0.7432 343,009,341
3 473,584,118 0.6407 303,410,946
4 488,404,528 0.5523 269,671,699
5 655,003,011 0.4761 311,849,033
NPV = R813,517,743
The project is acceptable because the NPV is positive at R813,517,743.
CALCULATIONS
Capital Allowances Calculation
Year Basis × 25% Allowance Tax Tax Shield (R)
(R) rate
1 R690,000,000 × 25% 172,500,000 27% 46,575,000
2 R517,500,000 × 25% 129,375,000 27% 34,931,250
3 R388,125,000 × 25% 97,031,000 27% 26,198,438
4 R291,094,000 × 25% 72,774,000 27% 19,649,000 ≈ 19,649,000 (shown as
19,648,828)
5 R218,320,000 × 25% 54,580,000 27% 14,737,000 ≈ 14,736,621