Assignment 1 Semester 2 2025
2 2025
Unique Number:
Due date: 21 August 2025
QUESTION 1
Project A – Certainty Equivalent Method (Discount rate = 8%)
Year Nominal Cash Certainty Risk-Adjusted Discount Present Value
Flow (R) Equivalent Cash Flow (R) Factor @8% (R)
0 -500,000 1.00 -500,000 1.0000 -500,000.00
1 250,000 0.80 200,000 0.9259 185,185.19
2 160,000 0.70 112,000 0.8573 95,999.99
3 120,000 0.60 72,000 0.7938 57,151.76
4 100,000 0.50 50,000 0.7350 36,764.71
5 90,000 0.40 36,000 0.6806 24,514.86
NET PRESENT VALUE -100,384.46
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QUESTION 1
Project A – Certainty Equivalent Method (Discount rate = 8%)
Year Nominal Cash Certainty Risk-Adjusted Discount Present Value
Flow (R) Equivalent Cash Flow (R) Factor @8% (R)
0 -500,000 1.00 -500,000 1.0000 -500,000.00
1 250,000 0.80 200,000 0.9259 185,185.19
2 160,000 0.70 112,000 0.8573 95,999.99
3 120,000 0.60 72,000 0.7938 57,151.76
4 100,000 0.50 50,000 0.7350 36,764.71
5 90,000 0.40 36,000 0.6806 24,514.86
NET PRESENT VALUE -100,384.46
IRR (A) ≈ –2.78%
Project B – Risk-Adjusted Discount Rate (Discount rate = 10%)
Year Risk-Adjusted Cash Flow (R) Discount Factor @10% Present Value (R)
0 -850,000 1.0000 -850,000.00
1 350,000 0.9091 318,181.82
2 300,000 0.8264 247,933.88
3 250,000 0.7513 187,819.53
4 210,000 0.6830 143,426.01
5 150,000 0.6209 93,154.40
NET PRESENT VALUE 140,515.43
IRR (B) ≈ 17.29%