This document discusses and compares three capital budgeting techniques: internal rate of return (IRR), modified internal rate of return (MIRR), and profitability index (PI). It defines each technique, provides their formulas, and lists their advantages and disadvantages. IRR is the discount rate that sets the net present value equal to zero. MIRR accounts for the practical reinvestment rate. PI is the ratio of a project's present value of cash flows to initial investment. Each technique considers the time value of money but they differ in their calculations and how they evaluate projects.
IRR,MIRR AND PI
GROUPNO. 13
Presented by-
Joel Abraham Easo 18
Vishal Mishra 47
Abhilash Prakash 62
Ravi kumar 108
Roshan kumar 111
2.
CONTENTS
INTERNAL RATEOF RETURN (IRR)
FORMULA
ADVANTAGES OF IRR
DISADVANTAGES OF IRR
MODIFIED INTERNAL RATES OF RETURN(MIRR)
ADVANTAGES OF MIRR
DISADVANTAGES OF MIRR
PROFITABILITY INDEX (PI)
ADVANTAGES OF PI
DISADVANTAGES OF PI
3.
INTERNAL RATE OF
RETURN(IRR)
Internal rate of returns is that rate at which the sum of discounted
cash inflow equals the sum of discounted cash outflow. In
other words it is the rate which discounts the cash flow to
zero.
IRR is the discount rate (or rate of return) at which the net present
value is zero.
The IRR is compared to the required rate of
return (k).
If IRR > k, the project should be accepted
4.
Cont..
Evaluation ofIRR Method.
I. Time value.
II. Profitability measure.
III. Acceptance rule.
IV. Shareholder value.
5.
INTERNAL RATE OF
RETURN(IRR)
11
0
n
t
t
t
C
k
C
0
where:
= initial cash outlay on project
= net cash flow generated by project at time t
= life of the project
= internal rate of return
t
C
C
n
r
6.
ADVANTAGES OF IRR
This method considers all the cash flows over the
entire life of the project.
Cost of capital need not be calculated.
Projects having different degrees of risk can easily
be compared.
It takes into account the time value of money.
7.
DISADVANTAGES OF IRR
It is difficult to understand and use in practice because
it involves tedious and complicated calculation.
Sometimes it may yield negative rate or multiple rates
which is rather confusing.
It is applicable mainly in large projects.
8.
MODIFIED INTERNAL RATESOF
RETURN(MIRR)
The discount rate at which the Present value of a
projects cost is equal to the present value of its
terminal value, where the terminal value is found
as the sum of the future values of the cash
inflows compounded at the firms cost of capital.
9.
ADVANTAGES
I. MIRR isa better and improved for project evaluation.
II. As it obviates all the shortcomings of normal IRR and
NPV methods.
III. It take into consideration the practically possible
reinvestment rate.
10.
DISADVANTAGES
MIRR isthat it asks for two additional decisions i.e.
determination of financial rate cost of capital.
11.
PROFITABILITY INDEX (PI)
Profitabilityindex (PI) is an investment appraisal
technique calculated by dividing the present value of
future cash flows of a project by the initial investment
required for the project.
Evaluation of PI Method:-
I. Time value.
II. Value maximization.
III. Relative profitability.
12.
Cont..
.
PV of netcash flows
Benefit Cost Ratio
Initial cash outlay
Decision rule:
Accept if benefit–Cost Ratio > 1
Reject if benefit–Cost Ratio < 1
13.
ADVANTAGES OF PI
It consider time value of money.
It take into account the cash flow inflows and outflows
throughout the economic life of the project.
PI ascertains the exact rate of the project.
14.
DISADVANTAGES OF PI
It is difficult to understand interest rate or discount
rate.
It is difficult to calculate profitability index if two
projects having different useful life.