Question
Project A Pay back period (A)= 1+(90000/170000)= 1.53 years Note--Initial investment, 280000-CF1, 190000=90000 balance IRR(A)--- equating the CFs to 0 0=-280000+(190000/(1+r)^1)+(170000/(1+r)^2) IRR,r= 18.91% NPV (A)
Project A |
Pay back period (A)= 1+(90000/170000)= |
1.53 |
years |
Note--Initial investment, 280000-CF1, 190000=90000 balance |
IRR(A)--- |
equating the CFs to 0 |
0=-280000+(190000/(1+r)^1)+(170000/(1+r)^2) |
IRR,r= 18.91% |
NPV (A) at 10% =-280000+(190000/1.10^1)+(170000/1.10^2)= |
33223.1405 |
PI (A )=1+(NPV/Initial Investment) |
ie.1+(33223.14/280000)= |
1.12 |
Project B |
Pay back period (B)=1+(120000/240000)= |
1.50 |
years |
Note--Initial investment, 390000-CF1, 270000=120000 balance |
IRR(B)--- |
equating the CFs to 0 |
0=-390000+(270000/(1+r)^1)+(240000/(1+r)^2) |
IRR,r= 20.36% |
NPV (B) at 20% =-390000+(270000/1.20^1)+(240000/1.20^2)= |
1666.67 |
PI ( B) =1+(NPV/Initial Investment) |
ie.1+(1666.67/390000)= |
1.00 |
Project C |
Pay back period (C)=1+(70000/190000)= |
1.37 |
years |
Note--Initial investment, 230000-CF1, 160000=70000 balance |
IRR(C)--- |
equating the CFs to 0 |
0=-230000+(160000/(1+r)^1)+(190000/(1+r)^2) |
IRR,r= 32.10% |
NPV (C) at 15% =-230000+(160000/1.15^1)+(190000/1.15^2)= |
52797.73 |
PI (C )=1+(NPV/Initial Investment) |
ie.1+(52797.73/230000)= |
1.23 |
Project | A | B | C | Ranking |
PBP(in yrs.) | 1.53 | 1.5 | 1.37 | C |
IRR | 18.91% | 20.36% | 32.10% | C |
NPV | 33223.14 | 1666.67 | 52797.73 | C |
PI | 1.12 | 1.00 | 1.23 | C |
Initial Investment Reqd. | 280000 | 390000 | 230000 | |
Capital available | 400000 | 400000 | 400000 |
When A & B are combined, total initial investment , 280000+390000= 670000 > 400000 (funds authorised) |
When B & C are combined, total initial investment , 390000+230000= 620000 > 400000 (funds authorised) |
When A & C are combined, total initial investment , 280000+230000= 510000 > 400000 (funds authorised) |
so, projects need to be taken up individually only. |
That said, |
Based on the above workings & summary of results |
Project C is recommended based on the following : |
1.NPV, $ 52797.73 is POSITIVE & also will bring the highest value to the company. |
2.IRR, 32.10 % is the highest & also > 20% , the project's COC |
3.PI , 1.23 is the highest , compared to the initial investment in the project. |
4.Payback period, ie. The no.of years taken to recoup the initial investment is the shortest, at 1.37 years . |
question;
Based on the results obtained in the graph, explain how does project financing and the expected returns get affected in a semi-strong market? Provide examples to justify your reasoning.
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