A. Why the 20% Discount Rate?
I arrived at a 20% Discount Rate by analyzing the client’s Opportunity Cost of Capital.
- The Evidence: Historical data showed the client generates a 25% Return on Investment (ROI) when deploying cash into inventory.
- The Logic: By choosing to buy the van, the client "sacrifices" this profit. I used a conservative 20% as the hurdle. If the lease costs less than what the cash could earn elsewhere, leasing is the winner.
B. The Net Present Value (NPV) Model
|
0 (Deposit) | ₦900,000 | 1.000 | ₦900,000 |
Year 1 | ₦5,400,000 | 0.833 | ₦4,498,200 |
Year 2 | ₦5,400,000 | 0.694 | ₦3,747,600 |
Year 3 | ₦5,400,000 | 0.578 | ₦3,121,200 |
Year 4 | ₦5,400,000 | 0.482 | ₦2,602,800 |
Year 5 | ₦5,400,000 | 0.402 | ₦2,170,800 |
TOTAL
| ₦27,900,000 | NPV of Lease | ₦17,040,600 |
The Result: The "Real Economic Cost" of the lease (₦17,040,600) is ₦959,400 cheaper than the cash purchase price of ₦18,000,000.