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Think like a real problem solver and explain me logic for: Student Question Copy ID Alpha Manufacturing ( Pty ) Ltd is considering acquiring new specialised equipment to improve its production efficiency. The company can either purchase the equipment or lease it from a reputable supplier. The Purchase Price of R 1 , 2 0 0 , 0 0 0 can be financed over five years by Home Bank with an annual loan repayment of R 3 4 1 , 0 0 0 . The interest payable at the end of each year is as follows: R 1 5 6 , 0 0 0 , R 1 3 1 , 9 5 0 , R 1 0 4 , 7 7 4 , R 7 4 , 0 6 4 , and R 3 9 , 3 6 2 . The annual maintenance and insurance costs are expected to be R 1 9 , 0 0 0 and R 8 0 , 0 0 0 , respectively. The depreciation policy for Alpha is 2 0 % on the reducing balance method. The equipment will be sold at book value at the end of 5 years. The Lease Option offers payments of R 2 8 0 , 0 0 0 ( payable at year - end ) over 5 years. The annual service and insurance costs amount to R 2 0 , 0 0 0 and R 1 0 0 , 0 0 0 respectively. The former is borne by the lessee while the latter, by the lessor. The lessee had an option to purchase the equipment for R 1 2 0 , 0 0 0 at the termination of the lease. Alpha Manufacturing ( Pty ) Ltd enjoys a tax rate of 2 7 % and an after - tax cost of debt of 1 1 % . REQUIRED: 3 . 1 Calculate the after - tax cash outflows and the net present value of cash flows under each option. NB: Show all workings clearly. Round all amounts to the nearest rand and apply the relevant tax and discount factors consistently. ( 2 3 marks ) 3 . 2 Recommend which alternative is more cost - effective and explain your reasoning. ( 2 Your Submission chegg icon Chegg Feedback 1 qc rating badge 1 Accuracy • Completely inaccurate Because: Incorrect Calculation 3 Completeness • Missing: Few required calculation/s Clarity (Not Applicable) Relevancy 5/5 Structure (Not Applicable) Voice (Not Applicable) Are you satisfied with the review? Share feedback within 48 hours of receiving the review. Yes No Sub-Subject financial analysis Topic the use of derivatives to hedge interest rate risk Step-by-step Step 1 of 2 % % 11% % % Explanation: %=0.02) Explanation: % Step 2 of 2 Explanation: % Final solution Final answer

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Think like a real problem solver and explain me logic for: Student Question Copy ID Alpha Manufacturing ( Pty ) Ltd is considering acquiring new specialised equipment to improve its production efficiency. The company can either purchase the equipment or lease it from a reputable supplier. The Purchase Price of R 1 , 2 0 0 , 0 0 0 can be financed over five years by Home Bank with an annual loan repayment of R 3 4 1 , 0 0 0 . The interest payable at the end of each year is as follows: R 1 5 6 , 0 0 0 , R 1 3 1 , 9 5 0 , R 1 0 4 , 7 7 4 , R 7 4 , 0 6 4 , and R 3 9 , 3 6 2 . The annual maintenance and insurance costs are expected to be R 1 9 , 0 0 0 and R 8 0 , 0 0 0 , respectively. The depreciation policy for Alpha is 2 0 % on the reducing balance method. The equipment will be sold at book value at the end of 5 years. The Lease Option offers payments of R 2 8 0 , 0 0 0 ( payable at year - end ) over 5 years. The annual service and insurance costs amount to R 2 0 , 0 0 0 and R 1 0 0 , 0 0 0 respectively. The former is borne by the lessee while the latter, by the lessor. The lessee had an option to purchase the equipment for R 1 2 0 , 0 0 0 at the termination of the lease. Alpha Manufacturing ( Pty ) Ltd enjoys a tax rate of 2 7 % and an after - tax cost of debt of 1 1 % . REQUIRED: 3 . 1 Calculate the after - tax cash outflows and the net present value of cash flows under each option. NB: Show all workings clearly. Round all amounts to the nearest rand and apply the relevant tax and discount factors consistently. ( 2 3 marks ) 3 . 2 Recommend which alternative is more cost - effective and explain your reasoning. ( 2 Your Submission chegg icon Chegg Feedback 1 qc rating badge 1 Accuracy • Completely inaccurate Because: Incorrect Calculation 3 Completeness • Missing: Few required calculation/s Clarity (Not Applicable) Relevancy 5/5 Structure (Not Applicable) Voice (Not Applicable) Are you satisfied with the review? Share feedback within 48 hours of receiving the review. Yes No Sub-Subject financial analysis Topic the use of derivatives to hedge interest rate risk Step-by-step Step 1 of 2 % % 11% % % Explanation: %=0.02) Explanation: % Step 2 of 2 Explanation: % Final solution Final answer

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Asked by: Kota Swarupa Rani
Created at: 2025-07-17 19:08:46

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Let’s break down the logic you need to solve the problem and approach it like a real problem solver. --- ## **Step 1: Understand the Core Requirement** You are asked to **compare the cost of buying versus leasing equipment** by calculating: - **After-tax cash outflows** for each alternative - **Net Present Value (NPV)** of the cash flows using the after-tax cost of debt (11%) as the discount rate --- ## **Step 2: Identify All Relevant Cash Flows** Let's clearly list out all cash flows for both options: ### **A. Purchase Option** - **Initial Outflow**: Purchase price (R1,200,000) - **Annual Loan Repayments**: R341,000 per year (includes principal and interest) - **Interest Portion**: Given for each year (affects tax deduction) - **Maintenance**: R19,000 per year - **Insurance**: R80,000 per year - **Tax Shield**: Interest and depreciation are tax-deductible - **Depreciation**: 20% reducing balance method - **Resale Value**: Equipment sold at book value at end of year 5 ### **B. Lease Option** - **Annual Lease Payment**: R280,000 per year, end of year - **Maintenance**: R20,000 per year (paid by lessee) - **Insurance**: R100,000 per year (paid by lessor, so not your cost) - **Option to buy at end**: R120,000 (if exercised) - **Tax Shield**: Lease payments and maintenance are tax-deductible --- ## **Step 3: Calculate After-Tax Cash Flows** ### **A. Purchase Option** #### **Year 0:** - No outflow (assuming purchase is financed, so no upfront payment) #### **Year 1-5:** - **Loan Repayment**: R341,000 (but the principal part is not tax-deductible, only interest is) - **Interest**: Given for each year (tax-deductible) - **Maintenance**: R19,000 (tax-deductible) - **Insurance**: R80,000 (tax-deductible) - **Depreciation**: 20% reducing balance (tax-deductible) - **Tax Savings**: 27% of (Interest + Maintenance + Insurance + Depreciation) - **Net Cash Outflow** for year = Loan Repayment + Maintenance + Insurance - Tax Shield #### **Year 5:** - **Add**: Inflow from sale of equipment at book value (tax-neutral if sold at book value) --- ### **B. Lease Option** #### **Year 1-5:** - **Lease Payment**: R280,000 (tax-deductible) - **Maintenance**: R20,000 (tax-deductible) - **Option to Buy**: R120,000 in Year 5 (assume exercised; not tax-deductible) - **Tax Shield**: 27% of (Lease Payment + Maintenance) - **Net Cash Outflow** for year = Lease Payment + Maintenance - Tax Shield #### **Year 5:** - **Add**: R120,000 (option to buy) (no tax shield) --- ## **Step 4: Calculate Book Value for Depreciation** - Year 0: R1,200,000 - Year 1: 1,200,000 × 0.8 = R960,000 - Year 2: 960,000 × 0.8 = R768,000 - Year 3: 768,000 × 0.8 = R614,400 - Year 4: 614,400 × 0.8 = R491,520 - Year 5: 491,520 × 0.8 = R393,216 **Depreciation per year:** - Year 1: 1,200,000 × 0.2 = R240,000 - Year 2: 960,000 × 0.2 = R192,000 - Year 3: 768,000 × 0.2 = R153,600 - Year 4: 614,400 × 0.2 = R122,880 - Year 5: 491,520 × 0.2 = R98,304 **Book value at end of year 5: R393,216** --- ## **Step 5: Discount the Cash Flows (NPV Calculation)** - Use 11% as the discount rate - Discount each year’s net after-tax outflow to present value - Sum up the present values for each option --- ## **Step 6: Recommend** - The option with the **lower NPV of after-tax outflows** is more cost-effective. - Explain your reasoning: “Purchasing/leasing is preferred because it results in a lower present value of cash outflows when tax and time value of money are considered.” --- ## **Summary Table Structure** | Year | Option | Cash Outflow | Tax Shield | Net Outflow | Discount Factor (11%) | PV | |------|--------|--------------|------------|-------------|----------------------|----| | 0 | | | | | 1.000 | | | 1 | | | | | 0.901 | | | ... | | | | | ... | | | 5 | | | | | 0.593 | | --- ## **Key Problem Solving Logic** 1. **List all cash flows for each alternative.** 2. **Adjust for tax shields** (only deductible expenses reduce taxable income). 3. **Calculate depreciation and book value** for the purchase option. 4. **Discount all after-tax outflows (and inflows) to present value** using the appropriate rate. 5. **Sum to find NPV for each option.** 6. **Recommend the cheaper (lower NPV) option, and explain why.** --- ### **If you need a step-by-step calculation with numbers, let me know!** But the **logic above is the real-world process** a financial analyst would follow to compare lease vs. buy decisions in capital budgeting.

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