(COMPLETE ANSWERS)
2025 (244150) - DUE 21
May 2025
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, Investment and Risk Analysis
Assignment
Question 1 (8 Marks)
To determine whether Mkhize Ltd should invest in South Africa, we calculate the country
risk rating using the provided data.
Step 1: Calculate weighted political risk score
Political Risk Score = ((7 × 0.65) + (3 × 0.55)) / (0.65 + 0.55) = (4.55 + 1.65) / 1.2 = 6..2
= 5.17
Step 2: Calculate weighted financial risk score
Financial Risk Score = ((5 × 0.30) + (6 × 0.20) + (5 × 0.11) + (4 × 0.35) + (7 × 0.30)) / (0.30 +
0.20 + 0.11 + 0.35 + 0.30)
= (1.5 + 1.2 + 0.55 + 1.4 + 2.1) / 1.26 = 6..26 ≈ 5.36
Step 3: Calculate total country risk score
Country Risk Score = (5.17 × 0.85) + (5.36 × 0.35) = 4.3945 + 1.876 = 6.2705
Conclusion: Since 6.27 < 8.5, Mkhize Ltd can invest in South Africa.
Question 2 (15 Marks)
a) Is interest rate parity holding? (3 marks)
Forward Rate = Spot Rate × (1 + i_domestic) / (1 + i_foreign)
= 1.3220 × (1..05) ≈ 1.3220 × 1.0238 ≈ 1.3535
Since actual forward rate (1.1492) ≠ expected (1.3535), IRP does not hold.
b) Is there an arbitrage opportunity? (2 marks)
Yes, since IRP does not hold, an arbitrage opportunity exists.
c) Arbitrage steps and profit calculation (7 marks)
1. Borrow BWP 1,000,000 at 5% interest (repayable = BWP 1,050,000).
2. Convert to ZAR at spot rate: 1,000,000 × 1.3220 = ZAR 1,322,000.
3. Invest ZAR at 7.5% for 1 year = ZAR 1,322,000 × 1.075 = ZAR 1,421,150.
4. Convert ZAR to BWP using forward rate: 1,421,.1492 ≈ BWP 1,237,119.53.