e at the end of its 10 years life. In either case the annual income 1.2 million and the annual operating cost would be $300,000. Y % combined income tax and the after-tax minimum attractive ra 10%. Assuming lease payments are due at the end of the year e depreciation over the 10 years life with full first year deprecia | = EUAB-EUAC for each option with MARR = 10%. facility be purchased or leased? even rate of return of purchase versus lease, i.e. ROR at which UAC) purchase = (EUAB – EUAC) lease -
e at the end of its 10 years life. In either case the annual income 1.2 million and the annual operating cost would be $300,000. Y % combined income tax and the after-tax minimum attractive ra 10%. Assuming lease payments are due at the end of the year e depreciation over the 10 years life with full first year deprecia | = EUAB-EUAC for each option with MARR = 10%. facility be purchased or leased? even rate of return of purchase versus lease, i.e. ROR at which UAC) purchase = (EUAB – EUAC) lease -
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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
Transcribed Image Text:### Buy vs. Lease Analysis in Business Expansion
#### Case Study: Decision-Making for Acquiring a Next-Door Manufacturing Facility
**Scenario:**
Your company is planning to expand by taking over the next-door manufacturing facility. You are faced with a buy-versus-lease option. Here are the financial details:
- **Purchase Price:** $1.5 million
- **Lease Cost:** $270,000 per year for 10 years
- **Resale Value (if purchased):** 40% of original purchase price after 10 years
- **Annual Income:** $1.2 million
- **Annual Operating Cost:** $300,000
- **Combined Income Tax Rate:** 38%
- **After-Tax Minimum Attractive Rate of Return (MARR):** 10%
**Assumptions:**
- Lease payments are due at the end of each year.
- Straight-line depreciation is used over the 10-year life with full first-year depreciation.
#### Objectives:
1. **Determine EUAW (Equivalent Uniform Annual Worth)** for each option with a MARR of 10%.
2. **Assess Break-even Rate of Return (ROR)** for purchasing versus leasing.
#### Steps:
1. **Equivalent Uniform Annual Worth (EUAW):**
- EUAW calculation involves converting a series of cash flows (from purchase and lease options) into a uniform annual series of cash flows.
- Formula: \( EUAW = EUAB - EUAC \)
- where EUAB is the Equivalent Uniform Annual Benefit, and EUAC is the Equivalent Uniform Annual Cost.
2. **Break-even Rate of Return (ROR):**
- This is the rate at which the present worth of costs is equivalent for both purchase and lease options.
- Formula: \((EUAB - EUAC)_{\text{purchase}} = (EUAB - EUAC)_{\text{lease}}\)
#### Analysis:
(a) **Calculating EUAW for Each Option:**
- **Purchase Option:**
- Consider depreciation, tax savings, operating costs, annual income, resale value, and MARR.
- **Lease Option:**
- Consider annual lease payments, tax savings, operating costs, annual income, and MARR.
(b) **Determining the Break-even ROR:**
- Find the ROR that makes the net present worth of costs equal for both options.
This analysis will allow you to make an informed decision on
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