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Suppose that during the rent of a property the owner earns the income of 60000 on a quarterly basis.
Set the value of this liability at the current moment;
in other words, determine the price of this property, if it was sold at the present moment at the interest rate:
1) of 8% converted on a quarterly basis?
2) of 8% converted on an annual basis?
We have that
1) R = 60000;
i = 0.02;
A = 60000 / 0.02
= 3000000:
Thus, the market value of this property is 3000000.
2) In the case we have a complex annuity,
thus: R = 60000, i = 0.08, c = 0.25 Then
p = 1.08^0.25 - 1 = 0.0194265
A = 60000/0.0194265 = 3088557
In this case the value of this property is 3088557.
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The device, the cost of which is 120000, must be replaced after six years.
It is known that after six years the used equipment could be sold for 20000.
Set the value of the property at the present moment (capitalize the costs) if the interest rate is 10%, which is converted once a year?
We have that OV = 120000, the replacement costs R = 120000 - 20000 = 100000,
In addition,
i = 0.15;
c = 1/(1/6) = 6 and
p = 1.1^6 - 1 = 0.7716
Then
K = 120000 + (100000/0.7716)
= 249607.4
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A.B. purchased a license to engage in the transportation services for which he paid 6000.
Moreover, he paid 30000 for the purchased car.
He hopes to replace a car with a new one every three years, hoping to allocate 30000 for a new car.
In addition, he can sell the car for 10000.
Determine the costs of this business, if the interest rate is 12%.
We have that the initial business costs are 35000,
the replacement costs are R = 30000 - 10000 = 20000,
In addition, i = 0.12; c = 3; p = 0.404928: Then
K = 35000 + (20000/0:404928)
= 84391.5
Thus, the capitalized general business costs will be 84391.5
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