In: Accounting
1. Your firm is considering an investment that will cost $920,000 today. The investment will produce cash flows of $450,000 in year 1, $270,000 in years 2, 3 and 4, and $200,000 in year 5. The discount rate that your firm uses for projects of this type is 12%. How much would the NPV change if discount rate increases to 8%?
| 
 $53,373  | 
||
| 
 ($45,813)  | 
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| 
 $102,774  | 
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| 
 ($95,214)  | 
Correct answer---------$102,774
Working
| NPV at 12% | $ 174,284 | 
| NPV at 8% | $ 277,058 | 
| Change in NPV | $ (102,774) | 
.
| Year | Cash | PV factor @12% | Present value | 
| 0 | $ (920,000.00) | 1 | $ (920,000.00) | 
| 1 | $ 450,000.00 | 0.892857143 | $ 401,785.71 | 
| 2 | $ 270,000.00 | 0.797193878 | $ 215,242.35 | 
| 3 | $ 270,000.00 | 0.711780248 | $ 192,180.67 | 
| 4 | $ 270,000.00 | 0.635518078 | $ 171,589.88 | 
| 5 | $ 200,000.00 | 0.567426856 | $ 113,485.37 | 
| TOTAL | $ 174,283.98 | 
.
| Year | Cash | PV factor @8% | Present value | 
| 0 | $ (920,000.00) | 1 | $ (920,000.00) | 
| 1 | $ 450,000.00 | 0.925925926 | $ 416,666.67 | 
| 2 | $ 270,000.00 | 0.85733882 | $ 231,481.48 | 
| 3 | $ 270,000.00 | 0.793832241 | $ 214,334.71 | 
| 4 | $ 270,000.00 | 0.735029853 | $ 198,458.06 | 
| 5 | $ 200,000.00 | 0.680583197 | $ 136,116.64 | 
| TOTAL | $ 277,057.55 |