Ans:
a. Cash flows diagram for the given alternatives are as follows:
Cash Outflow each year | Alt. Sun | Alt. Dell |
Initial Outflow | $50,000 | $65,000 |
Year 1 | $6,600 | Nil |
Year 2 | $6,600 | Nil |
Year 3 | $6,600 | Nil |
Year 4 | Nil | Nil |
Total Cash Outflow | $69,800 | $65,000 |
b. Calculation of Differential Cash flow:
Cash Outflow each year | Alt. Sun | Alt. Dell | Differential Cash outflow (Sun-Dell) |
Initial Outflow | $50,000 | $65,000 | ($15,000) |
Year 1 | $6,600 | Nil | $6,600 |
Year 2 | $6,600 | Nil | $6,600 |
Year 3 | $6,600 | Nil | $6,600 |
Year 4 | Nil | Nil | Nil |
c. Differential cash flow diagram:
Cash Outflow each year | Differential Cash outflow |
Initial Outflow | ($15,000) |
Year 1 | $6,600 |
Year 2 | $6,600 |
Year 3 | $6,600 |
Year 4 | Nil |
Net additional outflow for Alt. Sun | $4,800 |
d. Working for calculation of present value of net outflow for each project based on given Marginal ROR (10%):
Cash Outflow each year | Alt. Sun | Present Value at 10% (Alt. Sun) | Alt. Dell | Present Value at 10% (Alt. Dell) |
Initial Outflow | $50,000 | $50,000 | $65,000 | $65,000 |
Year 1 | $6,600 | $6,000 [(1/1.10)*6600] | Nil | Nil |
Year 2 | $6,600 | $5,455 [(1/1.102)*6600] | Nil | Nil |
Year 3 | $6,600 | $4,859 [(1/1.103)*6600] | Nil | Nil |
Year 4 | Nil | Nil | Nil | Nil |
Present value of Total Cash Outflow | $66,314 | $65,000 |
e. Based on above we can decide that project Dell is more beneficial for the project at 10% marginal Rate of Return.
f. Alt. Dell is chosen.
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