Question

In: Finance

(a) Describe using a suitable example the internal rate of return method of investment appraisal. (b)...

(a) Describe using a suitable example the internal rate of return method of investment appraisal.

(b) Many managers focus on designing a new organizational structure when they want to change culture: is this sufficient?

Solutions

Expert Solution

a] IRR is that discounted rate for which NPV = 0. It is to be found out by trial and error.
The discount rate has to be varied suitably till 0 NPV is reached.
Consider the following project with a life of 3 years. The investment at t0 is $200.
PROJECT:
YEAR CASH FLOW
0 $           -200.00
1 $               20.00
2 $             120.00
3 $             170.00
To start with, let us discount the cash flows with 10%.
YEAR CASH FLOW PVIF at 10% PV at 10% PVIF at 15% PV at 15% PVIF at 19% PV at 19% PVIF at 20% PV at 20%
0 $           -200.00 1.00000 $            -200.00 1.00000 $       -200.00 1 $               -200.00 1.00000 $        -200.00
1 $               20.00 0.90909 $                18.18 0.86957 $           17.39 0.84034 $                   16.81 0.83333 $            16.67
2 $             120.00 0.82645 $                99.17 0.75614 $           90.74 0.70616 $                   84.74 0.69444 $            83.33
3 $             170.00 0.75131 $              127.72 0.65752 $         111.78 0.59342 $                100.88 0.57870 $            98.38
NPV $                45.08 $           19.91 $                     2.43 $             -1.62
Discounting with 10% gives a positive NPV of $45.08. To reduce the NPV the discount rate should be increased.
Let us discount with 15%. Now we get a positive NPV of $19.91. So a 5% increase in the discount rate has reduced the NPV by nearly $25. To get to 0 NPV we
have to increase the discount rate by 20/(25/5) = 4%. Let us now discount with 19%. The NPV is marginally positive. Next let us discount with 20%. We then
get a marginally negative NPV. So the discount rate for 0 NPV, that is IRR, lies between 19% and 20%.
By simple interpolation, IRR = 19%+1%*2.43/(2.43+1.62) = 19.60%
b] Changing the organization structure to change the organizational culture is not going to give the desired result.
The steps to a change in culture would be:
*Define mission, vision, values.
*Evolve business practices to support the target culture
*Evolve leadership based on organizational culture
*Educate employees on the target organizational culture
*Have continuous evaluation and improvement activities
Changes in organization structure should be only to the extent it will facilitate the above steps.

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