For the four revenue alternatives below, use the ROR method results to answer the question below
Alternative | Initial Investment, $ | Overall ROR, i*% | Δi*% When Compared with Alternative | ||
A | B | C | |||
A | −60,000 | 11.7 | - | - | - |
B | −90,000 | 22.2 | 43.3 | - | - |
C | −140,000 | 17.9 | 22.5 | 10.0 | - |
D | −190,000 | 15.8 | 17.8 | 10.0 | 10.0 |
Problem 08.034.c- Choose from more than two alternatives based on incremental ROR analysis
Which one should be selected if the MARR is 10% per year and the alternatives are mutually exclusive?
First we need to arrange the data in the increasing order of initial investment as below,
Alternative | Initial Investment, $ | Overall ROR, i*% |
A | -60,000 | 11.7 |
B | -90,000 | 22.2 |
C | -1,40,000 | 17.9 |
D | -1,90,000 | 15.8 |
1. Alt A becomes base to compare with Alt B and find the
difference of ROR, =(22.2-11.7)=10.5
2. Since 10.5 is greater than MARR of 10%, Alt A needs to be
dropped and Alt B become base to compare
3. Find difference between Alt C-Alt B = (17.9-22.2) = 4.3 which is
less than 10 hence reject Alt C
4. Find difference between Alt D-Alt B = (15.8-22.2) = 6.4 which is
less than 10 hence reject Alt D
Hence select Alternative B based onn ROR
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