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Reading 73: Alternative Investments - LOSf(part 3)~Q1-7

 

LOS f, (Part 3): Calculate the after-tax cash flows, net present value, and yield of a real estate investment.

Q1. A real estate analysis estimates the market value of an income-producing property at $2,560,000. The annual gross potential rental income is $596,000, the annual property operating expenses and taxes are $178,800, and the annual vacancy and collection losses are $89,400. What capitalization rate was used by the analysis to assess the property at $2,560,000?

A)   0.1275.

B)   0.1290.

C)   0.1280.

 

Q2. An investor made the following purchase:

  • Bought an office building for $500,000 using 90% financing.
  • The borrowing cost was 10%.
  • They received $29,000 at year-end from rentals.
  • They sold the building for $520,000 at the end of the year.

Assuming a flat tax rate on income and capital gains of 25% what was the return on equity?

A)   +6%.

B)   -3%.

C)   +10%.

 

Q3. Ron Biggs is considering a real estate investment. In the first year, the property is expected to generate revenue of $65,000. The expense in the first year is $25,000 and the depreciation allowance will be 2.6 percent of the $350,000 initial investment. Assuming all cash flows occur at the end of the year and Biggs expects to be in a 35 percent marginal tax bracket, the after-tax cash flow in year 1 is closest to:

A)   $30,900.

B)   $29,185.

C)   $20,085.

 

Q4. A real estate speculator is considering an investment in a piece of raw land that will be developed. He expects to invest $150,000 in the land. It will not be developed for three years, but at the end of year 3, he expects a cash flow of $25,000. In years 4 and 5, the cash flow will increase to $35,000, and at the end of year 5 he expects to sell the land for $185,000. Due to the risky nature of the investment, he requires an 18% return.

The net present value of this investment is closest to:

A)   -$32,903.

B)   $30,222.

C)   -$20,568.

 

Q5. The internal rate of return (IRR) is closest to:

A)   14.3%.

B)   12.6%.

C)   18.1%.

 

Q6. An investor purchases a property for $1,000,000, financing 92% of the purchase price. He plans to sell the property four years later for $1,200,000. The expected net cash flows for the investment are as follows:

Year 1   

  $23,450

Year 2   

  $25,312

Year 3   

  $27,879

Year 4 (net of mortgage payoff)   

  $261,450

Assuming a 9% cost of equity, the net present value (NPV) of the cash flows at the time the property is purchased is:

A)   $338,091.

B)   $169,564.

C)   $249,564.

 

Q7. An investor purchases an office building for $2,500,000. He puts 10 percent down and finances the remainder at a 9 percent rate of interest. Calculate the first year’s after-tax cash flow for the investment using the following information:

NOI   

  $243,000

Depreciation   

  $25,000

Annual mortgage payment   

  $218,000

Marginal income tax rate   

  28%

A)   $11,160.

B)   $18,000.

C)   $20,660.

 

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