# Answer to Question #51321 in Finance for mohammed abdu

Question #51321

Dunia Construction Co. (DCC) is considering a new inventory system that will cost

RM750,000. The system is expected to generate positive cash flows over the next

four years in the amounts of RM350,000 in year one, RM325,000 in year two,

RM150,000 in year three, and RM180,000 in year four. DCC's required rate of return

is 8%.

i. What is the net present value of this project?

ii. What is the internal rate of return of this project?

iii. What is the modified internal rate of return of this project?

RM750,000. The system is expected to generate positive cash flows over the next

four years in the amounts of RM350,000 in year one, RM325,000 in year two,

RM150,000 in year three, and RM180,000 in year four. DCC's required rate of return

is 8%.

i. What is the net present value of this project?

ii. What is the internal rate of return of this project?

iii. What is the modified internal rate of return of this project?

Expert's answer

Cost RM750,000. RM350,000 in year one, RM325,000 in year two, RM150,000 in year three, and RM180,000 in year four. DCC's required rate of return is 8%.

i. The net present value of this project is:

NPV = -750,000 + 350,000/1.08 + 325,000/1.08^2 + 150,000/1.08^3 + 180,000/1.08^4 = 104,089.4

ii. The internal rate of return of this project is:

IRR = 15.13% - is the rate of return, for which NPV = 0.

iii. The modified internal rate of return of this project is:

MIRR = ((350,000 + 325,000 + 150,000 + 180,000)/750,000)^0.25 - 1 = 7.59%

i. The net present value of this project is:

NPV = -750,000 + 350,000/1.08 + 325,000/1.08^2 + 150,000/1.08^3 + 180,000/1.08^4 = 104,089.4

ii. The internal rate of return of this project is:

IRR = 15.13% - is the rate of return, for which NPV = 0.

iii. The modified internal rate of return of this project is:

MIRR = ((350,000 + 325,000 + 150,000 + 180,000)/750,000)^0.25 - 1 = 7.59%

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