On-Site Testing Service has received four investment proposals for consideration
ID: 1190258 • Letter: O
Question
On-Site Testing Service has received four investment proposals for consideration. Two of the proposals, X1 and X2 are mutually exclusive. The other two proposals, Y1 and Y2 are also mutually exclusive. Proposal Y1 is contingent on X1, and Y2 is contingent on X2. Other than these restrictions, any combination of proposals (including null) is feasible. MARR is 10.00 %/year. The expected cash flows for the proposals are shown below. A present worth analysis is to be conducted.
a. How many alternatives are possible (feasible and non-feasible)?
b. Use present worth analysis to determine which (if any) proposals On-Site Testing should accept
c. From computation in part b., what is the present worth of the accepted proposal?
End of Year X1 X2 Y1 Y2 0 -$11,000 -$17,000 -$4,000 -$9,000 1 through 8 $1,600 $3,000 $1,900 $3,100Explanation / Answer
(a) Possible alternatives are 5 as shown below.
1. (0, 0, 0, 0) [Null]
2. X1, Y1
3. Only X1
4. X2, Y2
5. Only X2
(b)
(a) Present Worth if X1 & Y1 are chosen:
PW ($) = - (11,000 + 4,000) + [(1,600 + 1,900) x Present Value interest factor of annuity (10%, 8 years)]
= - 15,000 + [3,500 x 5.3349 (From PVIFA Table)]
= - 15,000 + 18,672.15
= 3,672.15
(b) PW if only X1 is selected:
PW ($) = - 11,000 + [1,600 x Present Value interest factor of annuity (10%, 8 years)]
= - 15,000 + [1,600 x 5.3349 (From PVIFA Table)]
= - 15,000 + 8,535.84
= - 6,464.16
(c) Present Worth if X2 & Y2 are chosen:
PW ($) = - (17,000 + 9,000) + [(3,000 + 3,100) x Present Value interest factor of annuity (10%, 8 years)]
= - 26,000 + [6,100 x 5.3349 (From PVIFA Table)]
= - 26,000 + 32,542.89
= 6,542.89
(d) PW if only X2 is selected:
PW ($) = - 9,000 + [3,100 x Present Value interest factor of annuity (10%, 8 years)]
= - 9,000 + [3,100 x 5.3349 (From PVIFA Table)]
= - 9,000 + 16,538.19
= 7,538.19
Out of the 4 non-null choices, Only choosing X2 gives the highest PW, so X2 should be chosen.
(c) PW of investment X2 = $7,538.19
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