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Mariulka [41]
3 years ago
5

An apartment building produces $4,000 per quarter in gross rents. The maintenance expenses run $350 per month. Property taxes ar

e $1,750 per year. The mortgage payments are $650 per month. If the building is worth $83,750 what is the cap rate?
Mathematics
1 answer:
erica [24]3 years ago
6 0

Answer:

0.16%

Step-by-step explanation:

Cost of rent per quarter = $4000

Cost of rent per year = 4×$4000

= $16,000

This means that the apartment building produces $12,000 per year in gross rents.

Yearly Expenses are as follows;

Maintenance expenses per year = 12×$350 = $4200

Property taxes per year = $1,750

Mortgage payment per year = 12×$650 = $7800

Total expenses per year = sum of all the yearly expenses

= $4200+$1,750+$7800

= $13750

Yearly revenue generated = Cost of rent per year - total yearly expenses

= $16,000-$13750

= $2250 (net operating income)

Capitalization rate is given as the ratio of the net operating income to the market value of the building.

Capitalization rate = net operating income/market value of building

Since the building with $83750, that will be its market value

Cap rate = $13750/$83750

Cap rate = 0.16%

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SIZIF [17.4K]

<u>Answer:</u>

y = 2 5 0 ( 0 . 8 9 ) ^ x

Initial value: 250

Decay

Decay rate: 11%

y = 4 0 ( 1.11 ) ^ x

Initial value: 40

Growth

Growth rate: 11%

<u>Step-by-step explanation:</u>

The function we have on the left of the table is:

y = 2 5 0 ( 0 . 8 9 ) ^ x

<u>Initial value</u> (when x = 0): y = 2 5 0 ( 0 . 8 9 ) ^ 0

y = 250 (initial value)

Growth or Decay: 0.89 < 1 so decay

Decay rate: (1 - 0.89) * 100 = 11%

Function on right side:

y = 4 0 ( 1.11 ) ^ x

<u>Initial value</u> (when x = 0): y = 4 0 ( 1 . 1 1 ) ^ 0

y = 40 (initial value)

Growth or decay: 1.11 > 1 so growth

Growth rate: (1.11 - 1) * 100 = 11%

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Step-by-step explanation:

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