PLEASE SHOW ALL WORK (BUDGET QUESTION) Management of a firm with a cost of capit
ID: 2652982 • Letter: P
Question
PLEASE SHOW ALL WORK (BUDGET QUESTION)
Management of a firm with a cost of capital of 12 percent is considering a $100,000 investment with an annual cash flow of $44,524 for three years.
a. What are the investment's net present value and internal rate f return?
b. The internal rate of the return assumes that each cash flow is reinvested at the internal rate of the return. The investment rate is achieved, what is the total value of cash flows at the end of the third year?
c. The net present technique assumes that each cash flow is reinvested at the firm's cost of capital. What would the total value of the cash flow at the end of the third year, if the funds are reinvested at the firm's cost of capital?
Explanation / Answer
a. What are the investment's net present value and internal rate f return?
Investment's net present value = -100000 + 44524/1.12 + 44524/1.12^2 + 44524/1.12^3
Investment's net present value = $ 6939.14
Internal rate of return = rate(nper,pmt,pv,fv)
Internal rate of return = rate(3,44524,-100000,0)
Internal rate of return = 16%
Alternatively
Internal rate of return = irr({-100000,44524,44524,44524})
Internal rate of return = 16%
b. The internal rate of the return assumes that each cash flow is reinvested at the internal rate of the return. The investment rate is achieved, what is the total value of cash flows at the end of the third year?
Total value of cash flows at the end of the third year = 44524*(1+16%)^2 + 44524*(1+16%) + 44524
Total value of cash flows at the end of the third year = $ 156,083.33
c. The net present technique assumes that each cash flow is reinvested at the firm's cost of capital. What would the total value of the cash flow at the end of the third year, if the funds are reinvested at the firm's cost of capital?
Total value of cash flows at the end of the third year = 44524*(1+12%)^2 + 44524*(1+12%) + 44524
Total value of cash flows at the end of the third year = $ 150,241.79
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