Final answer:
The estimated value for the property is $22,222,222.22. The going-in cap rate indicated from recently sold properties is approximately 9%. If the required return changes to 12%, the value of the property would be $25,000,000. The increased price of comparable sales may be due to market forces such as increased demand or decreased supply.
Step-by-step explanation:
To calculate the estimated value for the property, we need to determine the present value of the expected NOI (Net Operating Income) and cash flow. Since NOI is expected to increase at a constant rate of 4% each year, we can use the formula for the present value of a growing perpetuity to calculate the estimated value:
Estimated value = NOI / (required return - growth rate)
Plugging in the values, we get: Estimated value = $2,000,000 / (0.13 - 0.04) = $2,000,000 / 0.09 = $22,222,222.22
Therefore, the estimated value for the property now is $22,222,222.22.
To determine the going-in cap rates indicated from recently sold properties that are comparable to Apartment Arms, we need to divide the NOI by the property value. Since we now know the property value ($22,222,222.22), we can calculate the going-in cap rate:
Going-in cap rate = NOI / Property value
Plugging in the values, we get: Going-in cap rate = $2,000,000 / $22,222,222.22 ≈ 0.09 or 9%.
Therefore, the going-in cap rate indicated from recently sold properties that are comparable to Apartment Arms is approximately 9%.
If the required return changes to 12%, we can use the same formula to calculate the new value:
New value = NOI / (required return - growth rate)
Plugging in the values, we get: New value = $2,000,000 / (0.12 - 0.04) = $2,000,000 / 0.08 = $25,000,000.
Therefore, if the required return changes to 12%, the value of the property now would be $25,000,000.
If we compare the value in part (a) ($22,222,222.22) with the value in part (c) ($25,000,000), we can observe that the price of comparable sales has increased. This indicates that market forces, such as increased demand or decreased supply, may be accounting for the differences in value between (a) and (c).