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Humaira Qureshi

Department of Agriculture and
 Agribusiness Management

       B.S Third year
Discounting and internal
     rate of return
Discounting
   It is the conversion of future values into present
    values called discounting and requires a rate know
    as discounting rate .

   Basic principle is that US $ or other currency now is
    worth more than a dollar to be received sometime
    in future because that present US $ received can be
    invested at interest to accumulate more than its
    original value
PV =Xi/(i+r)  t




PV= present value
Xi= amount of money in year T
r=rate of discount expressed as a
proportion
T= number of years from the
present data
Example :

Receiving US $ 100,000 now is better
than receiving US$ 100,000 in a year's
time, reason is , it would not be
worthful in future.
To compare costs and benefits that
occure in different years it is necessary
to convert their value into present value
.It can be done with the help of
discounting.
 When all cost and benefits are
converted to present value it is possible
to compare them.
 This is done by using three decision
making criteria .
Net present value


Internal rate of return


Benefit cost ratio
NET PRESENT VALUE
   It is diffrence between sum of the present value
    of the benefits and the sum of the present value
    of the cost.

NPV= Ƹ Bt/(1+r)t – Ƹ Ct/(1+r)t

   If NPV is negative the investment is not worth
    while , while a positive NPV indicates only that
    the investment might be considered.
Internal rate of return
In simpler term the IRR is the interest rate
that will make the investment just break even.

NPV= Ƹ Bt/(1+r)t – Ƹ Ct/(1+r)t=0
If IRR exceeds the minimum acceptable
discount rate is the opportunity cost of
money the project is worth for future
consideration.
Benefit cost ratio
 It is calculated by dividingthe sum of the
  present value of benefits by sum of the
  present value of cost.

                   /
BCR=Ƹ Bt/(1+r)t Ƹ Ct/(1+r)t
An investment is worth
 considering if the BCR is greater
 than 1.
Conclusion
Carrying of cost benefit analysis of
investment in any project requires a
process by which analyst examine where to
invest.
Bca presentation

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Bca presentation

  • 1.
  • 2. Humaira Qureshi Department of Agriculture and Agribusiness Management B.S Third year
  • 3. Discounting and internal rate of return
  • 4. Discounting  It is the conversion of future values into present values called discounting and requires a rate know as discounting rate .  Basic principle is that US $ or other currency now is worth more than a dollar to be received sometime in future because that present US $ received can be invested at interest to accumulate more than its original value
  • 5. PV =Xi/(i+r) t PV= present value Xi= amount of money in year T r=rate of discount expressed as a proportion T= number of years from the present data
  • 6. Example : Receiving US $ 100,000 now is better than receiving US$ 100,000 in a year's time, reason is , it would not be worthful in future.
  • 7. To compare costs and benefits that occure in different years it is necessary to convert their value into present value .It can be done with the help of discounting. When all cost and benefits are converted to present value it is possible to compare them. This is done by using three decision making criteria .
  • 8. Net present value Internal rate of return Benefit cost ratio
  • 9. NET PRESENT VALUE  It is diffrence between sum of the present value of the benefits and the sum of the present value of the cost. NPV= Ƹ Bt/(1+r)t – Ƹ Ct/(1+r)t  If NPV is negative the investment is not worth while , while a positive NPV indicates only that the investment might be considered.
  • 10. Internal rate of return In simpler term the IRR is the interest rate that will make the investment just break even. NPV= Ƹ Bt/(1+r)t – Ƹ Ct/(1+r)t=0 If IRR exceeds the minimum acceptable discount rate is the opportunity cost of money the project is worth for future consideration.
  • 11. Benefit cost ratio  It is calculated by dividingthe sum of the present value of benefits by sum of the present value of cost. / BCR=Ƹ Bt/(1+r)t Ƹ Ct/(1+r)t An investment is worth considering if the BCR is greater than 1.
  • 12. Conclusion Carrying of cost benefit analysis of investment in any project requires a process by which analyst examine where to invest.