Zenith Investment Company is considering the purchase of an office property. It has done an extensive market analysis and has estimated that based on current market supply or demand relationships, rents, and its estimate of operating expenses, annual NOI will be as follows: Year NOI 1 $ 1,240,000 2 1,240,000 3 1,240,000 4 1,280,000 5 1,330,000 6 1,380,000 7 1,419,000 8 1,459,170 A market that is currently oversupplied is expected to result in cash flows remaining flat for the next three years at $1,240,000. During years 4, 5, and 6, market rents are expected to be higher. It is further expected that beginning in year 7 and every year thereafter, NOI will tend to reflect a stable, balanced market and should grow at 3 percent per year indefinitely. Zenith believes that investors should earn a 12 percent return (r) on an investment of this kind. Required: a. Assuming that the investment is expected to produce NOI in years 1 to 8 and is expected to be owned for seven years and then sold, what would be the value for this property today

Respuesta :

Based on the NOIs from Year 1 to 8, the value of the property today to Zenith Investment Company will be $13,221,383.94.

What is the value of the investment today?

Because the investment will be sold in 7 years, we need to find the terminal value from year 8 and above considering the indefinite growth rate of 3%.

Terminal value:

= Year 8 cashflow / (Return rate - Growth rate)

= 1,459,170 / (12% - 3%)

= $16,213,000

This amount should be added to the Year 7 cashflow to get:

= 16,213,000 + 1,419,000

= $17,632,000

The value today can be found by taking all the cashflows to their present value and summing them:

= 1,240,000/ 1.12 +  1,240,000 / 1.12² +  1,240,000 / 1.12³ + 1,280,000 / 1.12⁴ +  1,330,000 / 1.12⁵ +  1,380,000/ 1.12⁶ +  17,632,000⁷

= $13,221,383.94

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