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 -

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### 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
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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