Correct Answer - Option 4 : Rs. 1,00,000
Concept:
Capitalized value:
It is the amount of money whose annual interest at the highest prevailing rate of interest will be equal to the net income from the property.
To determine the capitalized value of a property, it is required to know the net income from the property and the highest prevailing rate of interest.
Capitalized value (V) of the property is given by:
V = Net annual income × Year purchase
Year’s purchase is defined as the capital sum required to be invested in order to receive an annuity of Rs. 1.00 at a certain rate of interest.
\({\rm{Yea}}{{\rm{r}}^{\rm{'}}}{\rm{s\;purchase}} = \frac{1}{{i \;+ \;s}}\)
1i+s
(Put i and S in decimals)
Where,
i = rate of interest
S = Sinking fund coefficient
Calculation:
Given: Net annual income = 10000, i = 5% = 0.05, s =0.05
\({\rm{Yea}}{{\rm{r}}^{\rm{'}}}{\rm{s\;purchase}} = \frac{1}{{0.05 \;+ \;0.05}}\)
⇒ Year's purchase = 10
V = 10000 × 10 = 100000