Final answer:
To calculate the expected sale price of the office building, we need to determine the net operating income (NOI), which is the revenue from the rental minus the operating expenses. The NOI is then divided by the cap rate to determine the expected sale price. The expected rate of return on the investment can be calculated by dividing the NOI by the purchase price. If office rents grow by 1% per year, the expected rate of return is adjusted according to the growth rate. If improvements worth $2,000,000 are made to raise the rent by 10%, the new NOI is calculated to determine the new sale price.
Step-by-step explanation:
To calculate the expected sale price of the office building, we need to determine the net operating income (NOI), which is the revenue from the rental minus the operating expenses. The NOI is then divided by the cap rate to determine the expected sale price. In this case, the NOI is calculated as follows:
Rental revenue: $50,000/month x 12 months = $600,000
Operating expenses: 40% of revenue = 0.4 x $600,000 = $240,000
NOI: $600,000 - $240,000 = $360,000
Expected sale price: $360,000 / 0.06 (6%) = $6,000,000
Next, we can calculate the expected rate of return on the investment. If office rents remain flat, the rate of return can be calculated by dividing the NOI by the purchase price:
Rate of return: $360,000 / $6,000,000 = 0.06 or 6%
If office rents grow by 1% per year, we need to account for the expected increase in revenue. The NOI would be adjusted by multiplying it by the growth rate:
Adjusted NOI: $360,000 x (1 + 0.01) = $364,000
The adjusted rate of return can then be calculated:
Adjusted rate of return: $364,000 / $6,000,000 = 0.0607 or 6.07%
Lastly, if $2,000,000 worth of improvements are made to raise the rent by 10% (with zero growth), the new NOI would be:
New rental revenue: $50,000 + (0.10 x $50,000) = $55,000
New NOI: $55,000 - $240,000 = $315,000
New sale price: $315,000 / 0.06 = $5,250,000