An investment opportunity having a market price of $1,000,000 is available. You could obtain a $750,000, 25-year mortgage loan requiring equal monthly payments with interest at 7.0 percent. The following operating results are expected during the first year.

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An investment opportunity having a market price of $1,000,000 is available. You could obtain a $750,000, 25-year mortgage loan requiring equal monthly payments with interest at 7.0 percent. The following operating results are expected during the first year.

 

Effective gross income                       $200,000

Less operating expenses and CAPX   $100,000

Net operating income                          $100,000

 

For the first year only, determine the:

 

  1. Gross income multiplier
  2. Operating expense ratio (including CAPX
  3. Monthly and annual payment
  4. Debt coverage ratio
  5. Overall capitalization rate
  6. Equity dividend rate
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  1. Gross income multiplier

 

Solution:  Market price / Effective gross income = $1,000,000 / $200,000 = 5.0

 

  1. Operating expense ratio (including CAPX)

 

Solution: Operating expenses / Effective gross income = $100,000 / $200,000 = 0.50 or 50 percent.

 

  1. Monthly and annual payment

 

Solution: Monthly payment is $5,300.84. Annual payment is $63,610.13

 

  1. Debt coverage ratio

 

Solution:  NOI / Annual debt service = $100,000 / $63,610 = 1.57

 

  1. Overall capitalization rate

 

Solution:  NOI / Market price = $100,000 / $1,000,000 = 10 percent

 

  1. Equity dividend rate

 

Solution:  Before-tax cash flow / Equity = $36,390 / $250,000 = 14.6 percent

 

Note: Equity investment = Acquisition price – loan amount

= $1,000,000 – $750,000

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