Question 17 5 pts Maxwell Feed Seed is considering a projec
Question 17 5 pts Maxwell Feed & Seed is considering a project that has an initial cash outflow of $7,050. Expected cash inflows are $2,000 in year 1, $2,025 in year 2, $2,050 in year 3, $2,075 in year 4, and $2,100 in year 5. What is the project\'s IRR? Your answer should be between 9.52 and 16.20, rounded to 2 decimal places, with no special characters. F5 F6 F7 5 7 8 9
Solution
IRR is the rate at which project\'s net present value is zero. a. Calculation of net present value at 10% : Year Cash flow Discount factor Present Value a b c=1.1^-a d=b*c 0 $ -7,050 1.0000 $ -7,050 1 $ 2,000 0.9091 $ 1,818 2 $ 2,025 0.8264 $ 1,674 3 $ 2,050 0.7513 $ 1,540 4 $ 2,075 0.6830 $ 1,417 5 $ 2,100 0.6209 $ 1,304 Total $ 703 b. Calculation of net present value at 20% : Year Cash flow Discount factor Present Value a b c=1.2^-a d=b*c 0 $ -7,050 1.0000 $ -7,050 1 $ 2,000 0.8333 $ 1,667 2 $ 2,025 0.6944 $ 1,406 3 $ 2,050 0.5787 $ 1,186 4 $ 2,075 0.4823 $ 1,001 5 $ 2,100 0.4019 $ 844 Total $ -946 c. Calculation of IRR IRR = L+(H-L)*(A/(A-B)) Where, = 10%+10%*(703/1649) L 10% = 14.26% H 20% H-L 10% A $ 703 B $ -946 A-B $ 1,649