Valuation 7
Valuation 7
Introduction
   Valuation is the technique of estimating or determining the fair price or value of a property
    such as building, factory, other engineering structures of various types land etc. Hence, by
    valuation, the present price or value of a property is determined.
   In other words, valuation is an art of judgment based on experience and relevant statistical
    data to forecast the value of a property at present.
   The present value of a property may decide by its selling price or income or rent it may
    fetch. The value of the property depends on its structure, life, maintenance, location, bank
    interest, legal control, etc. The value also depends on supply or demand and the purpose
    for which valuation is required, and continually varies with age, physical state and
    characteristics of the property itself.
   Cost means original cost of construction while value means the present value (saleable
    value) which may be higher or lower than the cost.
Purpose of Valuation:
Principle of valuation:
 When resorting to valuation of any property a valuator thrust is expert in the trade. He
      must have scored knowledge of planning designing & construction of the property. He
      should be aware of administrative laws wire town planning laws, rent, restrictor acts,
      local taxes etc.
 Following principles should be observed at the time of evaluating fair & reasonable value of
    a property.
    1. Cost depends upon the supply & demand of property.
    2. Cost depends upon its design, specification of the materials used and location of the
          property.
    3. Cost varies with the purpose for which valuation is made.
    4. Cost is affected by the age of the property and its physical conditions.
    5. In valuation, a vender must be willing to sell and the purchaser willing to buy.
    6. Present & future use of any property should be given due weight age in valuation.
    7. Cost analysis must be based on statistical data as it may sometime require evidence
          in the court.
   Num – 1:
   Find the capitalized value of a property fetching a net annual rent of Rs. 1500/- when the
   highest rate of interest prevalent is 6%.
   Solution,
       Net income = Rs. 1500.00 per Annum
       Highest rate of interest = 6%
       Let, capitalized value = x
Num – 2
   A building in a 'A' class city is let at rent @ Rs. 5000 per month. The outgoing of the property
   is estimate to 15% of the gross income. Calculate the capitalized value of the property if the
   present rate of interest is 6% and life of the property is 50 yrs.
    Solution:
    Net income = Gross income – outgoings
    Here,
    Gross income = 5000 x 12 = Rs 60000.00
    Outgoing = 15% of gross income = 15% x 60000
                                     = Rs 9000.00
Net income =Rs 60000 – 9000 = Rs 51000
Further,
                                      100          100
       Year's purchase (Y.P.) =                  =
                                Rate of interest    6
   Then,
      Capitalized value = Net income x Y.P.
                                100
                     = 51000x
                                 6
                     = 850000/- Answer
       Now,
       Sinking fund at the end of 1st yr, S1 = S
       Accumulation of sinking fund at the end of 2nd yr., S2 = S + S (1+R)
       Accumulation of sinking fund at the end of 3rd yr., S3 = S + S(1+R) + S(1+R)2
       Accumulation of sinking fund at the end of nth yr.,
              Sn = S + S(1+R)+S(1+R)2+S(1+R)3 + ……………+ S(1+R) n-1 …………………(1)
Num – 3
   The sinking fund amount of a property is estimated to Rs. 50000 whose future life is 20
   years. Find the year's installment of sinking fund which should be set aside @ 5% interest
   rate.
Solution:
   Here, Life of the property (n) = 20 yrs.
   Accumulated sinking fund (Sn) = 50000
   Rate of interest (R) = 5% = 0.05
   We have,
     S = Sn x S C
                 R 0.05
   Where, SC =      =    = 0.03024
                 ¿¿   ¿¿
   Then,
      Yearly installment of sinking fund (S) = 50000 x 0.03024
                                             = Rs 1512 per year Answer
   Num – 4
   A property has been purchased by a person at a cost of Rs. 40,000 excluding the cost of
   land. Determine the amount of sinking fund annually deposited at the rate of 5% compound
   interest. Assume the future life of the property as 30 years and the scrap value as the 10%
   of the cost of purchase.
   Solution,
      Here, cost of purchase = 40,000
      Future life of the property (n) = 30yrs
      Rate of interest (R) = 5% = 0.05
      Scrap value = 10% of the cost of purchase
    Now,
       Total amount of sinking fund to be accumulated at the end of 30 yrs is,
              Sn       = 90% of 40,000
                       = 36,000.00
    Then, annual installment of sinking fund is given by,
                                                R
                   S = S n x Sc       Sc =        n
                                            (1+ R) −1
                                R
                    = Sn x        n
                           (1+ R) −1
                                    0.05
                    = 36,000 x           30
                               (1+0.05) −1
                    = 544.35 Answer
19)    Depreciation
        Depreciation may be defined as the gradual decrease or loss in the value of a
           property because of constant structural deterioration, use, wear & tear, decay etc.
           Thus, the value of a building or structure will be gradually reduced due to its use,
           constant wear & tear, and a certain percentage of the total cost may be allowed as
           depreciation to determine its present value.
   Types of Depreciation:
    Two types of depreciation
      A) Physical deprecation
               - Due to wear and tear
              - Action of time & natural forces (atmospheric)
       B) Functional depreciation
               -Due to inadequacy (space limit)
      Obsolescence
       The value of the property or structures become less by it's becoming out dated in
         style in structure in less by etc. because of change in design pattern, fashions living
         habits of its inhabitants and thus it losses it functional utility and this is termed as
         obsolescence Hence even the property is physically sound it may become
         functionally inadequate and its economical return becomes less.
       It is very difficult task to predict obsolescence.
       Loss due to calamities like earthquakes, floods etc are also included in the
         obsolescence.
                                         c−v
                                    D=
                                          n
      Where
              D = Annual depreciation
              C = Original cost
              V = Scrap ( or salvage ) Value
              n = utility period or life of the property (yrs)
       Now,
       At the end of use year the value of property= c(1-D)
       2nd yrs ,,      ,,       ,,      c(1-D)(1-D)=c(1-D)2
        rd
       3 yrs ,,        ,,       ,,      c(1-D)3
         th
       n Yrs ,,        ,,       ,,      (v) =c(1-D)n
                                               V
                               or,   1−D=[ ]1/n
                                               c
                                                  V
                                         D=1+[ ]1/n
                                                  c
       c) Sinking fund methods
       In this method the depreciation of property is assured to be equal to the annual sinking
       fund there on up to that date, which is supposed to be invested on interest bearing
       investment. If A is the annual sinking fund and b, c, d etc are interest on the sinking fund
       for subsequent years and
               C = total original cost, then
       At the end of Depreciation Total Depreciation                Book value
                          for the year
         st
       1 year                   A                A                    C-A
         nd
       2 year                   A+B              2A + b              C – (2A + B)
         rd
       3 year                   A+C              3A + B + C          C – (3A + B + C)
         th
       4 year                   A+D              4A + B + C + D      C – (4A + B + C + D)
                                                                             And so on….
      Methods of valuation
      The following are the different methods of valuation.
      1, Rental method
      2, Profit based method
      3, Cost based method
      4, Development based method
      5, Depreciation method
      6, Plinth area method
      7, Capital value comparison method
      1)      Rental Method
               In this method the rental income is calculated after deducting all outgoing
                 from the gross rent, Years purchase is calculated after adopting the current
                 bank interest and then capitalized value of the property is worked out.
               To work the capitalized value by rent return method, the following
                 information is required to be collected.
                  Land & Its tenure. Area of land & whether it is a free hold or on lease.
                  Cubic contents of the building. Length width & height of the constructed
                     area.
                  Future life of the building: Expected future life to account for singling
                     fund.
                  Gross rent: Real rent it the property is let out otherwise it is calculated
                     from cubical contents.
   Expenses:
   Insurance premium – Rs. 900.00 per annum
   Management & collection tax – 8% of gross rent
   Municipal tax – 30% of gross rent
   Repair – 5% of gross rent
   Assume that the future life is 60yrs.
   Rate of interest is 8% & redemption of capital is 5%.
   Solution,
   Here,
      Gross annual rent = 1400.00 x 12 = 168000.00
      Outgoings
      i) Insurance premium                                              = 900.00
      ii) Management & collection tax             = 8% x 168000.00      = 13440.00
      iii) Municipal tax                          = 30% x 168000.00 = 50400.00
      iv) Repair                                 = 5% x 168000.00       = 8400.00
                                                        Total outgoings = 73140.00
   Net rental income        = Gross rent – outgoings
                            = 168000.00 – 73140.00
                            =Rs 94860.00
                     1                  1
   Then, Y.P. =            ,   =                    = 12.077
                  I P+ I c         0.08+0.0028
   Now, 60% (50 – 70%) of the value of property can be recommended for advance loan
   against the mortgage of the property i.e.
      Recommended advance loan = 60% of 1695624.22
                                   = 1017374.53 Answer
       Solution,
       Gross income = 750000.00
        Outgoing:
        i) To run cinema hall                                 30% x 750000.00 = 225000.00
        ii) Repair & maintenance of machinery plant & equip. 5% of 950000.00 = 47500.00
                                                       R
        iii) sinking fund for machineries (s) = Sn ×
                                                       ¿¿
                        Where Sn = 90% = 850000.00
                                           0.04
                        S = 855000.00 x                                 = 20530.23
                                            ¿¿
   iv) Insurance premium = 10000.00
   v) Annual repair of hall = 2% x 750000.00                                         = 15000.00
                                                  Total outgoing                     = 318030.23
   Net profit (i.e. net income)            = Gross income – Total outgoings
                                   = 750000.00 – 318030.23
                                   = 431969.77
   Now,
                                          R
   Coefficient of sinking fund (Ic) = ; n = 60 years.
                                          ¿¿
                                 0.04
                          (Ic) =
                                  ¿¿
                          = 0.0042
                1             1
   Y.P. =            =                = 11.88
            I p + I C 0.08+0.0042
Then,
Capitalized value = Net profit x Y.P.
                   = 431969.77 x 11.88
                   = 5131800.90
Value of land             = 120000.00
∴ Total value of the property              = 5131800.90 + 120000.00
                                   = 5251800.90 Answer
3) Cost based
    In this method, the actual cost incurred in incurred in constructing the building or in
      possessing the property is taken as basis to determine the value of property. In such
      cases, necessary depreciation should be allowed and the points of obsolescence should
      also be considered.
Num – 7
  A city corporation has to acquire an area of 350000 m2 for the development of a new
  colony. After developing the area, it is proposed to be sold at Rs. 45.00/m 2. Worked out the
  maximum compensation which can be given to the owners whose land is to be acquired for
  developing the colony, assuming,
     I. The corporation establishment charge 15% of the sake price.
    II.   40% area to be provided for roads, parks etc.
   III.   Colony improvement expenditure Rs. 7.00/m2
   IV. Engineer's & Architects' fee 4% of the sale price.
Solution,
    Here, the total area to be acquired                           = 350000 m2
Area to be provided for road/parks = 40% x 350000          = 140000 m2
Net area available for making plots for sale = 350000 – 140000    = 210000.00 m2
Proposed rate of selling       = Rs. 45.00/m2
Gross income from plots selling = 210000.00 x 45.00
                               = Rs. 9450000.00
Outgoings,
   I. Establishment charges = 15% x 9450000.00             = 1417500.00
  II.    Colony improvement expenditure = 350000.00 x 7.00        = 2450000.00
 III.    Engineers & Architect's fee = 4% x 9450000.00            = 378000.00
                               Total outgoings                    = 4245500.00
      Then,
         Maximum price of the undeveloped land = 9450000.00 – 4245500.00
                                              = 5204500.00
                                                                                    5204500.00
       Maximum possible compensation which can be given to the land owners =
                                                                                     350000.00
                    [          ]
                                   n
                    100−r d
               I =P
                      100
       Where ,
       D=¿depreciated value of a building structure after 'n' years.
       P = cost of the building at present market rate if new
       Rd = fixed percentage of depreciation (rate of depreciation)
                      (r = rate, d = depreciation)
       The no. of years the building has been constructed.
       Calculated,
       By depreciation method of valuation, the value of a building structure only may be
       determined.
Num – 8
  What is the present value of the property having area of land 270 m 2 with 25 yrs. Old, first
  class building with a plinth area of 100 m2 . The building is provided with water supply and
  electric filtering. Assume life of the building as 100 yrs., r d = 1. Also assume cost of land is
  1500.00/m2. Take present value of the some building is Rs. 8000.00/m 2.
Solution
    Value of the building at present (P)     = 8000.00 x 100.00
                                      = 800000.00
Num – 7
   A city corporation has to acquire an area of 350000 m2 for the development of a new
   colony. After developing the area, it is proposed to be sold at Rs. 45.00/m 2. Work out the
   maximum compensation which can be given to the owners whose land is to be acquired for
   developing the colony, assuming,
      I. The corporation establishment charge = 15% of the sake price.
     II.   40% area to be provided for roads, parks etc.
    III.   Colony improvement expenditure = Rs. 7.00/m2
    IV. Engineer's & Architects' fee = 4% of the sale price.
Solution
The total area to be acquired = 350000 m2
Area to be provided for roads / parks = 40% x 350000
                               = 140000m2
Net area available for making plots for sale = 350000 – 140000
                                       = 210000.00m2
Proposed rate of selling = Rs. 45.00/m2
Gross income from plots selling = 210000.00 x 45.00
                               = Rs.9450000.00
Outgoings
   I. Establishment charges = 15% x 9450000.00             = 1417500.00
  II.    Colony improvement expenditure = 350000.00 x 7.00        = 2450000.00
 III.    Engineers & Architect's fee = 4% x 9450000.00            = 378000.00
                               Total outgoings                    = 4245500.00
      Then,
         Maximum price of the undeveloped land = 9450000.00 – 4245500.00
                                              = 5204500.00
                                                                                   5204500.00
       Maximum possible compensation which can be given to the land owners =
                                                                                    350000.00
Num – 9
  A free hold residential property having plinth area of 100m 2 constructed 20 years ago on a
  plot of land measuring 500m2 is proposed to be purchased by 'A' for his use. The present
  rate of construction of the similar building is Rs. 9000.00/m 2 of the plinth area and cost of
  land is Rs. 2000.00/m2. Advice 'A' at what cost he should purchase the property.
Solution,
Here, cost of land = 500.00 x 2000.00 = 1000000.00
Cost of building = 100.00 x 9000 = 900000.00
Num 10
   An owner has decided to sell his vacant property of 30 years old. Single storied building
   having a total plinth area of 110m2. The cost of land is 300000.00 compared with adjoining
   areas. There is no comparable instance of lathing value available in the locality but the
   present plinth area rate to constant such a new building has been determined from current
   sale price which is Rs. 5500.00 per m2. What should be the sale price of the property having
   total life of 80 years and annual sinking fund interest is 5%.
Solution,
     Cost of building = 110.00 x 5500.00 = 605000.00
     Sinking fund coefficient for 80 yrs. is
                                      R
                                Sc = ; n = 80 years.
                                     ¿¿
                                   0.05
                                =
                                    ¿¿
                                = 0.001
We know,
                   R
         S = Sn x
                   ¿¿
Where, s = yearly installment of the sinking fund
Sn = sinking fund to be accumulated in 'n' years.
If s = Rs. 1.00 per Annam then,
     Sn for 30 yrs. = ¿ ¿ x s
                  = ¿¿ x 1
                  = 66.44
∴ Rate of depreciation in 30 yrs. = 0.001 x 66.44 = 0.06644
Totaldepreciation in 30 years = 605000.00 x 0.06644
                                = 40196.20
Then,
     Depreciated value of the building = 605000.00 – 40196.20
                                        = 564803.80
 Also,
     Value of land = 300000.00
Hence,
     Sale price of the property = Depreciated value of building + value of land
                                = 564803.80 + 300000.00
                                = 864803.8 Answer
   The total cost of a new building is Rs. 1500000.00. Work out the depreciated cost of the
   building after 20 yrs. by straight line method if the scrap value is Rs. 250000.00. Assume the
   life of the building is 80 yrs.
   Solution,
   Here,
   Original cost (c)         = 1500000.00
   Scrap value (v)           = 250000.00
   Life of the building (n)  = 80 yrs.
   Using straight line method        =
                               original cost−scpra alue c−v
   Annual depreciation       =                         =
                                       life∈ yrs .       n
                                 1500000.00−250000.00
                             =
                                           80
                               = 15625.00 per annum
Total depreciation in 20 yrs = 15625.00 x 20 = 312500.00
∴ Depreciated cost of the building after 20 yrs = 1500000.00 – 312500.00
                               = 1187500.00 Answer
Solution,
    Original cost (c) = 30000.00
    Scrap value (v) = 2500.00
    Life of the machine (n) = 10 yrs.
    By using constant percentage method of depreciation
                                                  ()
                                                       1
                                                     v n
    Percentage rate of annual depreciation (D) = 1 -
                                                     c
                                     =1–(
                                           30000 )
                                                       1
                                          2500.00     10
                                   = 0.22
   ∴value of property at the end of 6 yrs. = C [1 – D]6
                                   = 6755.98 Answer
    The cost of construction of a new building according to present market rate is Rs.
    2500000.00 having life of 80 yrs. If the bldg. is 15 yrs. Old, determine the depreciation
    amount which should be deducted from the cost of the new building @ 10% compounded
    interest.
    Solution,
    Cost of building at present = 2500000.00
    To determine the depreciation by sinking fund method
    Sinking fund coefficient for 80 yrs.
         R
    Sc =
         ¿¿
     0.10
    =     =0.000049
      ¿¿
    We know,
           R
S = Sn x
          ¿¿
Where, s = yearly installment of the sinking fund
Sn = sinking fund to be accumulated in 'n' years.
If s = Rs. 1.00 per Annam then,
     Sn for 15 yrs. = ¿ ¿ x s
                 = ¿¿ x 1
                 = 31.77
    Solution
    Here, rate of interest on capital (Ip) = 7% = 0.07
    Rate of interest from sinking fund (R) = 4% = 0.04
    Now,
                                     R
   Sinking fund coefficient (Ic) =      ; n = 15 years
                                     ¿¿
                          0.04
                       =
                           ¿¿
                        = 0.0499
                 1            1
Then, Y.P. =          =             = 8.34 Answer
             I p + I C 0.07+0.00499
Repair:
    The repairs are required to be carried out every year to maintain a property in fit
        condition.
    The amount to be spent on repairs depends on the age, contraction materials used in
        the building etc.
         Usually 10 to 15% of the gross income or
         1 to 1.5% of the total cost of construction.
   Mortgage
    The owner if a property can borrow money (loan) against the security of his property.
     Such advancement of money against any form of security is called mortgage.
    The person who takes the loan is known as 'mortgage'
    The person who advances the loan is known as 'mortgage'
Freehold property
A freehold property mean that the owner is in absolute possession of the property and he/she
     can utilize the same in any manner under the prevailing riles & regulations for eg. he can
     use the property by himself he can grant on lease or he can sell etc.
Leasehold property
It indicates the physical possession of the property and the use of it may be allowed by the
     original owner (lesser) as per lease document the owner of a freehold property may give
     permission to any other person to use his freehold which is known as giving property on
     lease.
Valuation Report
The valuation report is divided into 3 parts
Part-1 Derails about the property
Part-2 Valuation calculation
Part-3 valuation declaration
Possible questions
1. You have been asked to prepare a valuation report of a property (land &building). Meenlion
   various dates which you will collect as valuator.
Solution
   As a valuator we will consider the following things and valuate the given land & building. For
   this we will first take the introductory details as.
   1. Location (street, ward no, town etc)
   2. Plot no of land
   3. Area of plot (According to land registration office)
   4. Owner of the property this includes
       a) owner's name
       b) Father's name
       c) Grand father's name
   5. Age of owner
   6. Current address of owner (tel. no it available)
   7. Details of surrounding properties
       a) North
       b) South
       c) East
       d)West
   8. Details of access road
       a) Type
       b) width
   9. Distance of property from nearest commercial? Busy built-up are.
   10. Site details
       a) shape
       b) Top graph
       c) width of frontage
       d) Depth
   11. Site services
       a) water supply
       b) Electricity
       c)Sewerage
   12. Site constraints
       a) Surcharge overhead
       b) High lesion line
       c) Noise
       d) Pollution
   Additional data
   1. Purpose for which valuation is made
   2. Bret description of the property
   3. Is the property situated in residential commercial mixed industrial area?
   4. Classification of the locality high class, middle class, poor class or mixed.
   5. Is it freehold or leasehold land?
   6. Are there any agreement of easement?
   7. Is the building owner occupied / tenanted/ both?
   8. Details of water supply & electricity charges are any to be borne by owner?
   9. Has the tenant to bear the whole or part of the cost of repairs and maintop Nance?
   10. What is the amount of property tax? Who is bearing it? Details with document proof.
   11. Is the building insured? It so give amount for which it is insured and annuls & premium.
   12. What was the method of construction?
   13. Has the hole or a party of the land been notified for acquisition by government? It so
       give date of notification rent.
   14. Me of tenants? Lessee
       Monthly or annual rent
   15. Gross amount received for the whole property
   16. Is any dispute between landlord and tenant regarding rent pending in a court of law.
   17. Has any standard rent been fixed for the premises under any law relating to the control
       of rent?
   18. sales:
       Give instantaneous sales of property in the locality on separate sheets indicating the
       name & address of the property, registration number, sales price and area of land sold.
   2. Distinguish clearly between
       a) sinking fund & depreciation
       b) Salvage value & scrap value
       c) Capitalized value & year's purchase
       d) Rental method of valuation &development method of valuating