In: Finance
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.)
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 |