Assume that Anvil Inc. has estimated the following annual...

Assume that Anvil Inc. has estimated the following annual data for the introduction of a new product, Ranch Hand: $$ \begin{array}{lllllll} & \text { EOY 0 } & \text { EOY 1 } & \text { EOY 2 } & \text { EOY 3 } & \text { EOY 4 } & \text { EOY 5 } \\ \text { Cash flows } & -14,250 & 3,700 & 2,980 & 6,540 & 7,810 & 6,320 \\ \text { Accounting income } & & 2,870 & 2,540 & 5,890 & 6,720 & 5,780 \end{array} $$ Required rate of return: $14 \%$ per annum Reinvestment rate of return: $12 \%$ per annum (a) For Ranch Hand calculate NPV, IRR, MIRR, ARR and payback period. (b) Based on the calculations in part (a), make a recommendation to Anvil's management about the introduction of Ranch Hand.

Assume that Anvil Inc. has estimated the following annual data for the introduction of a new product, Ranch Hand:
$$
\begin{array}{lllllll}
& \text { EOY 0 } & \text { EOY 1 } & \text { EOY 2 } & \text { EOY 3 } & \text { EOY 4 } & \text { EOY 5 } \\
\text { Cash flows } & -14,250 & 3,700 & 2,980 & 6,540 & 7,810 & 6,320 \\
\text { Accounting income } & & 2,870 & 2,540 & 5,890 & 6,720 & 5,780
\end{array}
$$
Required rate of return: $14 \%$ per annum
Reinvestment rate of return: $12 \%$ per annum
(a) For Ranch Hand calculate NPV, IRR, MIRR, ARR and payback period.
(b) Based on the calculations in part (a), make a recommendation to Anvil's management about the introduction of Ranch Hand.

Key Concepts

Modified Internal Rate of Return (MIRR)

The Modified Internal Rate of Return improves upon the IRR by taking into account the differing rates of financing and reinvestment. By employing a more realistic reinvestment rate for cash flows, MIRR provides a better reflection of a project's true profitability, especially when external financing rates differ from the project's IRR.

Internal Rate of Return (IRR)

The Internal Rate of Return is the discount rate that makes the net present value (NPV) of all cash flows from a project equal to zero. Essentially, it represents the expected rate of growth an investment is projected to generate and is used to compare the profitability of various investments.

Accounting Rate of Return (ARR)

The Accounting Rate of Return is a method used to evaluate the profitability of an investment by comparing the average accounting profit to the initial investment. Unlike cash flow-based metrics, ARR focuses on earnings derived from accounting data, making it useful for assessing performance based on financial statements and accounting practices.

Time Value of Money

The time value of money is the economic concept that money available now is worth more than the same amount in the future because of its earning potential. This principle underlies most capital budgeting techniques, as future cash flows must be discounted back to their present value to account for risk and opportunity cost.

Capital Budgeting

Capital budgeting is the planning process used by companies to evaluate potential major projects or investments. It involves assessing future cash flows, risks, and returns to determine whether or not an investment will yield sufficient profitability relative to its cost of capital.

Net Present Value (NPV)

Net Present Value is a widely used capital budgeting metric that calculates the difference between the present value of cash inflows and the present value of cash outflows over a period of time. A positive NPV indicates that the projected earnings (in present dollars) exceed the anticipated costs, thereby making the project financially attractive.

Payback Period

The payback period is a simple capital budgeting metric that measures the time it takes for an investment to generate cash flows sufficient to recover the initial outlay. It provides a basic evaluation of investment risk and liquidity, though it does not account for the time value of money or cash flows that occur after the payback period.

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