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OI for a property in the coming year is $578,000. The forward cap rate is at a 3% premium to the risk-free rate, and capital appreciation is 5.5% p.a. What is the current value of the property using direct capitalization? Government bonds are yielding 2.47%. a. $9,347,457 b. $8,791,749 c. $12,344,579 d. $11,147,898 e. $10,566,728

Question

OI for a property in the coming year is $578,000. The forward cap rate is at a 3% premium to the risk-free rate, and capital appreciation is 5.5% p.a. What is the current value of the property using direct capitalization? Government bonds are yielding 2.47%.

a. $9,347,457

b. $8,791,749

c. $12,344,579

d. $11,147,898

e. $10,566,728

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Solution

To calculate the current value of the property using direct capitalization, we first need to determine the capitalization rate (cap rate). The cap rate is given as a 3% premium to the risk-free rate. The risk-free rate is the yield on government bonds, which is 2.47%. Therefore, the cap rate is 2.47% + 3% = 5.47%.

The formula for direct capitalization is:

Value = Net Operating Income / Cap Rate

Substituting the given values into the formula:

Value = $578,000 / 5.47%

Value = $10,566,728

So, the current value of the property using direct capitalization is 10,566,728.Therefore,theansweris(e)10,566,728. Therefore, the answer is (e) 10,566,728.

This problem has been solved

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