Respuesta :
Answer:
The project's IRR is 17.28%
Explanation:
IRR is the discount rate at which the NPV of the project's cash flow becomes zero. ThNPV calculated using discount rate below IRR is positive and over IRR is negative.
To calculate the IRR using the following formula
IRR = Lower Rate + ( Lower rate NPV / ( Lower rate NPV - Higher rate NPV ) ) x ( Higher rate - Lower rate )
Now calculate the NPV two different rates
NPV at 17%
Year___Cash Flows__Preser value factor 17%__Present value
0______($35,070)___( 1 + 17%)^-0 = 1 _________($35,070)
1_______$7,970____ ( 1 + 17%)^-1 = 0.8547 _____$6,812
2_______$9,570____( 1 + 17%)^-2 = 0.7305 ____$6,991
3_______$13,560___ ( 1 + 17%)^-3 = 0.6244 ____$8,466
4_______$15,610____( 1 + 17%)^-4 = 0.5337 ____$8,330
5_______$10,340____( 1 + 17%)^-5 = 0.4561____ $4,716
NPV ___________________________________ $246
NPV at 18%
Year___Cash Flows__Preser value factor 18%__Present value
0______($35,070)___( 1 + 18%)^-0 = 1 _________($35,070)
1_______$7,970____ ( 1 + 18%)^-1 = 0.8475 _____$6,754.24
2_______$9,570____( 1 + 18%)^-2 = 0.7182 _____$6,873.03
3_______$13,560___ ( 1 + 18%)^-3 = 0.6086 ____ $8,253.04
4_______$15,610____( 1 + 18%)^-4 = 0.5158 _____$8,051.46
5_______$10,340____( 1 + 18%)^-5 = 0.4371_____ $4,519.71
NPV ___________________________________ ($618.52 )
Nox place the values in the formula
IRR = 17% + ( ( $246 / ( $246 - ( - 618.52 ) ) ) x ( 18% - 17% )
IRR = 17.28%