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BRILLIANT’S                       Capital Budgeting                               433

                      The IRR can also be ascertained by starting from higher rate. In such case, the IRR is

                                             B                     ( )100
                                 IRR =  H +      (H L)   = 13% +            (13 12)   = 12.98%
                                           A B               5, 550 ( 100) 
                      It should be noted that the interpolation   `h Ü`mZ XoZo `mo½` h¡ {H$ BÝQ>anmoboeZ _oWS> go
                  method gives an approximation of the IRR. If  IRR nyU©V… ewÕ Z hmoVo hþE Hw$N> g§^m{dV hmoVr h¡Ÿ& `{X Xmo
                  there is greater difference between the two
                  discount rates, the IRR will be less accurate. So  {S>ñH$mCÝQ> aoQ²>g Ho$ ~rM A{YH$ A§Va h¡ Vmo IRR H$_ ewÕ
                  the interpolation should be made between the  hmoJmŸ& Bg{bE B§Q>anmoboeZ Xmo {ZH$Q>V_ {S>ñH$mCÝQ> aoQ>,
                  two closest discount rates, preferably two  _w»`V: Xmo H«${_H$ {S>ñH$mCÝQ> aoQ> {OZHo$ NPV nm°{O{Q>d
                  consecutive discount rates having positive and
                  a negative NPV.                             d ZoJo{Q>d hmo, Ho$ ~rM H$aZm Mm{hEŸ&
                  2. When Future Cash Inflows are Not Equal   2. O~ â`yMa H¡$e BZâbmoO ~am~a Zht hmo
                      If the project is expected to generate an   `{X àmoOoŠQ> go AcJ-AcJ dfm] _| AcJ-AcJ
                  uneven  cash  flow  in  different  years,  the  H¡$e âcmo CËnÞ H$aZo H$s Cå_rX H$s OmVr h¡ Vmo IRR H$s
                  calculation of IRR is somewhat complicated.
                  We can calculate the IRR in either of the two  JUZm Hw$N> O{Q>c hmo OmVr h¡Ÿ& h_ IRR H$s JUZm Xmo _| go
                  ways:               NPP                     {H$gr EH$ {d{Y Ûmam H$a gH$Vo h¢:
                   (i) If the cash flows are approximate, calculate  (i) `{X H¡$e âbmoO AZw_m{ZV h¢ Vmo EH$ H$mën{ZH$
                      the average  annual cash  inflow to  get a  EÝ`yQ>r àmá H$aZo Ho$ {cE Am¡gV dm{f©H$ H¡$e BZâbmoO
                      fake  annuity. After  that,  the  technique  H$s JUZm H$a|Ÿ& BgHo$ níMmV² D$na g_Pm`r JB©
                      explained as above can be applied.
                                                                  VH$ZrH$ H$m Cn`moJ {H$`m Om gH$Vm h¡Ÿ&
                  (ii) If there is no apparent pattern of annuity  (ii) `{X H¡$e âbmoO _| EÝ`yQ>r H$m H$moB© ñnï> noQ>Z© Zht h¡
                      in the cash flows, the weighted average of  Vmo H¡$e BZâbmoO Ho$ doQ>oS> EdaoO H$m Cn`moJ H$a|Ÿ&
                      cash inflows can be used as follows:

                  Evaluation of IRR                           IRR H$m _yë`m§H$Z
                      The  IRR  technique  is  also  an  important  B§Q>Z©c aoQ> Am°\$ [aQ>Z© _oWS>, H¡${nQ>b ~OqQ>J H$s
                  discounted cash flow technique to evaluate capi-  EH$ _hËdnyU© VH$ZrH$ h¡& BgHo$ à_wI JwU {ZåZ{b{IV h¢…
                  tal expenditure proposals. The merits of the IRR
                  technique can be summarized as follows:
                   1. The IRR technique takes into account the  1. IRR _oWS> _| _Zr H$s Q>mB_ d¡ë`y H$mo Ü`mZ _| aIm
                      time value of money and the cash flows      OmVm h¡Ÿ& AbJ-AbJ g_` na àmßV hmoZo dmbo H¡$e
                      occurring at  different point  of time  are
                                                                  âcmoO H$mo AbJ-AbJ \¡$ŠQ>a go ES>OñQ> {H$`m
                      adjusted to make them comparable.
                                                                  OmVm h¡ Vm{H$ CZ_| VwbZm H$s Om gHo$&
                   2. It helps in selecting those proposals which  2. `h _oWS> CZ àmoOoŠQ²>g H$m M`Z H$aZo _| ghm`H$
                      are  expected  to  earn  more  than  the    hmoVr h¡ {OZ_| {_{Z__ aoQ> Am°\$ [aQ>Z© go A{YH$
                      minimum required rate of return.            Am` H$s Anojm hmoŸ&
                   3. Since the IRR is expressed as a percentage,  3. My§{H$ B§Q>Z©c aoQ> Am°\$ [aQ>Z© à{VeV Ho$ ê$n _| kmV
                      it  is convenient  for  those  who  want  to  H$s OmVr h¡ Bg{bE {H$gr ànmoOb H$mo EZmbmBO
                      analyze a proposal in terms of its percen-
                                                                  H$aZm AmgmZ hmoVm h¡Ÿ&
                      tage return.
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