In: Finance
(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?
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. |