A public private initiative in Texas will significatly expand the wind generated
ID: 1194568 • Letter: A
Question
A public private initiative in Texas will significatly expand the wind generated energy through out the state. The cash flow for one phase of the project involving Centrasl point Energy, a transmission utility company, is shown. Given reinvestment rate of 14% per year for excess funds and 10% per year for borrowing rate for extra funds, determine: given MARR= 12%
Year Net Cash Flow
0 -50000
1 +22000
2 +38000
3 -2000
4 -1000
5 +5000
a) How many number of ROR values is expected and why?
b) Calculate the external rate of return.
c) Is the project economically viable?
Explanation / Answer
1.
There can be two types of ROR is possible, one is external rate of return and other is internal rate of return. External rte of return will include the cost of borrowing additional money for transaction.
2.
Year
Net Cash Flow
Reinvestment
Cost of investment
Net cash Flow
PW
0
-50000
0
-5000
-55000
-55000
1
22000
3080
0
18920
16892.86
2
38000
5320
0
32680
26052.3
3
-2000
0
-200
-2200
-1565.92
4
-1000
0
-100
-1100
-699.07
5
5000
700
0
4300
2439.935
NET Income
45385.09
NET PW
-11879.9
Net Cost
-55699.1
ERR
13%
If cashflow is positive, Reinvestment amount= Cashflow*14/100
If cashflow is negative, Cost of investment=Cashflow*10/10
PW= net cash flow/(1+i)^t where i=.12
ERR is the value of I for which net PW is zero.
3.
No the project is not economically viable, as the net income from the project is negative.
Year
Net Cash Flow
Reinvestment
Cost of investment
Net cash Flow
PW
0
-50000
0
-5000
-55000
-55000
1
22000
3080
0
18920
16892.86
2
38000
5320
0
32680
26052.3
3
-2000
0
-200
-2200
-1565.92
4
-1000
0
-100
-1100
-699.07
5
5000
700
0
4300
2439.935
NET Income
45385.09
NET PW
-11879.9
Net Cost
-55699.1
ERR
13%
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