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In: Finance

Q1/ A project has the following cash flows for years 0 through 3, respectively: -34,416, 15,926,...

Q1/ A project has the following cash flows for years 0 through 3, respectively: -34,416, 15,926, 21,329, 38,250. If the required return is 10.6 percent, what is the net present value of the project?

Q2/ A project has the following cash flows for years 0 through 2, respectively: -11,062, 8,666, 8,313. What is the internal rate of return on this project?

Q3/ A project has the following cash flows, for years 0 through 3 respectively: -27,084, 11,112, 8,232, 9,204. If the required return is 11.8 percent, what is the profitability index?

Q4/A project has the following cash flows for years 1 through 3 respectively: 1,754, 1,176, 1,776. Using a discount rate of 11.8 percent, it has been determined that the profitability index is 0.88. What must the project's initial cost be? (Enter absolute value of the initial cost.)

Solutions

Expert Solution

Q1
Year Cashflows PVf @ 10.60 Present values
0 -34416 1 -34416
1 15926 0.904159 14399.64
2 21329 0.817504 17436.54
3 38250 0.739153 28272.62
Net present values 25693
Q2.
Year Cashflows PVF @34.25% Present value
0 -11062 1 -11062
1 8666 0.744879 6455.121
2 8313 0.554845 4612.424
Net present value 5.54
IRR = 34.25%
Q3.
Year Cashflows PVf @ 11.80% Present values
1 15926 0.894454 14245.08
2 21329 0.800049 17064.24
3 38250 0.715607 27371.97
Present value f inflows 58681
Protibality index = Present value of inflows/ Outflows
58681 /27084= 2.167
Q4.
Year Cashflows PVf @ 11.80% Present values
1 1754 0.894454 1568.873
2 1176 0.800049 940.8572
3 1776 0.715607 1270.918
Present value f inflows 3781
PI = Present Value of inflows/ Initial Investment
0.88 = 3781 / Initial investment
Initial investment = $ 3327

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