Answer:
0.0471 or 4.71%.
Step-by-step explanation:
We have been given that a building valued at $245,000 contains four apartments that each rent for $370 per month.
Let us find monthly income from 4 apartments by multiplying 370 by 4 as:
[tex]\$370\times 4=\$1480[/tex]
Let us find annual gross income by multiplying monthly income by 12:
[tex]\$1480\times 12=\$17,760[/tex]
Now, we will find net operating income by finding 65% of gross annual rentals as:
[tex]\$17,760\times \frac{65}{100}=\$17,760\times 0.65=\$11,544[/tex]
We know that the capitalization rate is the ratio between the net income of the property and its original price or capital cost.
So, we can find capitalization rate by dividing $11,544 by $245,000.
[tex]\text{Capitalization rate}=\frac{\$11,544}{\$245,000}\times 100\%[/tex]
[tex]\text{Capitalization rate}=0.0471183673469388\times 100\%[/tex]
[tex]\text{Capitalization rate}=4.71183673469388\%\approx 4.71\%[/tex]
Therefore, the capitalization rate is approximately 0.0471 or 4.71%.