Problem 6

Question

Personal Care Products Company is considering an investment in one of two new product lines. The investment required for either product line is \(\$ 550,000\). The net cash flows associated with each product are as follows: \begin{tabular}{crr} & Liquid Soap & Cosmetics \\ \hline Year 1 & \(\$ 150,000\) & \(\$ 110,000\) \\ 2 & 140,000 & 110,000 \\ 3 & 130,000 & 110,000 \\ 4 & 130,000 & 110,000 \\ 5 & 100,000 & 110,000 \\ 6 & 90,000 & 110,000 \\ 7 & 70,000 & 110,000 \\ 8 & 70,000 & 110,000 \\ Total & \(\$ 880,000\) & \(\$ 880,000\) \\ \hline \end{tabular} a. Recommend a product offering to Personal Care Products Company, based on the cash payback period for each product line. b. Why is one product line preferred over the other, even though they both have the same total net cash flows through eight periods?

Step-by-Step Solution

Verified
Answer
Recommend Liquid Soap; it has a shorter payback period of 4 years compared to Cosmetics' 5 years, recovering the investment quicker.
1Step 1: Understanding Cash Payback Period
The cash payback period is the time required to recover the initial investment in net cash flows. The shorter the payback period, the quicker the investment is recouped, making it preferable.
2Step 2: Calculating Payback Period for Liquid Soap
To calculate the payback period for the Liquid Soap product line, add up the annual cash flows:- Year 1: \(150,000- Year 2: \)150,000 + \(140,000 = \)290,000- Year 3: \(290,000 + \)130,000 = \(420,000- Year 4: \)420,000 + \(130,000 = \)550,000The Liquid Soap investment of \(\$ 550,000\) is fully recovered by Year 4.
3Step 3: Calculating Payback Period for Cosmetics
For the Cosmetics line, calculate the accumulated cash flows: - Year 1: $110,000 - Year 2: $110,000 + $110,000 = $220,000 - Year 3: $220,000 + $110,000 = $330,000 - Year 4: $330,000 + $110,000 = $440,000 - Year 5: $440,000 + $110,000 = $550,000 The Cosmetics investment is fully recovered in Year 5.
4Step 4: Comparing the Payback Periods
For Liquid Soap, the payback period is 4 years, whereas for Cosmetics, it is 5 years. The Liquid Soap product line has a faster payback period by one year.
5Step 5: Conclusion and Recommendation
Based on the cash payback period, the Liquid Soap product line should be recommended. This is because it recovers the initial investment faster than the Cosmetics line, despite both having the same total net cash flows over eight periods.

Key Concepts

Investment AnalysisNet Cash FlowsCapital Budgeting
Investment Analysis
Investment analysis is a key process that helps businesses make decisions about where to allocate their resources. It involves evaluating the profitability and risks of potential investments to select the best option.
For Personal Care Products Company, the decision to invest in either Liquid Soap or Cosmetics requires a thorough analysis of expected returns and the time it will take to earn back the initial investment.
This analysis doesn't only look at the total cash flow that each product can generate but also how quickly each product can return the initial outlay.
Effective investment analysis often identifies the option that maximizes return while minimizing risk, thus enhancing overall financial health.
Net Cash Flows
Net cash flows refer to the net amount of cash being generated or spent by a business during a given time period. They are calculated by deducting cash expenses from cash revenues, helping to determine the financial viability of a business activity.
In our exercise, each product line (Liquid Soap and Cosmetics) provides a different yearly cash inflow, laid out over eight years.
These flows are crucial in determining the payback period, as they reflect the return that each product can generate relative to its cost.
  • Year-by-year analysis of these cash flows helps in understanding how quickly the business can expect to recoup its investment.
  • The total net cash flows for both products are the same, but their distribution over the years underscores the importance of timely cash returns.
By closely examining net cash flows, a company can better assess which product line offers quicker returns, thereby becoming the preferred choice.
Capital Budgeting
Capital budgeting is the process by which investors decide on whether to proceed with long-term investment projects. It evaluates the potential investments and expenditures in assets that will likely span over several years.
This process typically involves several techniques, including the cash payback period, which the Personal Care Products Company utilizes in making their investment decision.
When comparing the Liquid Soap and Cosmetics lines, capital budgeting assessment reveals some crucial insights:
  • The cash payback period, a primary focus here, shows the time needed to recover the original investment from cash inflows.
  • By comparing these periods, it guides the business on which product line enables faster capital recovery.
Capital budgeting emphasizes not just the total amount of money to be recuperated, as shown over eight years for both products, but also stresses the timing of returns, essential for cash flow management and financial planning.