Problem 6

Question

Family Care Products Company is considering an investment in one of two new product lines. The investment required for either product line is \(\$ 600,000\). The net cash flows associated with each product are as follows: \begin{tabular}{crr} Year & Liquid Soap & Cosmetics \\ \hline 1 & \(\$ 120,000\) & \(\$ 165,000\) \\ 2 & 120,000 & 155,000 \\ 3 & 120,000 & 140,000 \\ 4 & 120,000 & 140,000 \\ 5 & 120,000 & 110,000 \\ 6 & 120,000 & 90,000 \\ 7 & 120,000 & 80,000 \\ 8 & 120,000 & 80,000 \\ Total & \(\$ \$ 960,000\) & \(\$ 960,000\) \\ \hline \hline \end{tabular} a. Recommend a product offering to Family 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 the Cosmetics product line based on its shorter payback period of 4 years, providing quicker investment recovery.
1Step 1: Understand the Cash Payback Period
The cash payback period is the time it takes for an investment to generate an amount of cash equal to the initial outlay. Family Care Products Company wants to know how long it will take for each product line to repay the initial investment of $600,000 through its cash flows.
2Step 2: Calculate Payback Period for Liquid Soap
Summing the annual cash flows for the Liquid Soap line: - Year 1: $120,000 - Year 2: $120,000 - Year 3: $120,000 - Year 4: $120,000 - Year 5: $120,000 Total up to Year 5: $600,000 Thus, the payback period for Liquid Soap is exactly 5 years.
3Step 3: Calculate Payback Period for Cosmetics
Summing the annual cash flows for the Cosmetics line: - Year 1: $165,000 - Year 2: $155,000 (Total = $320,000) - Year 3: $140,000 (Total = $460,000) - Year 4: $140,000 (Total = $600,000) Thus, the payback period for Cosmetics is 4 years.
4Step 4: Compare the Payback Periods
Liquid Soap has a payback period of 5 years, while Cosmetics has a payback period of 4 years. The Cosmetics line recoups the initial investment faster than the Liquid Soap line.
5Step 5: Provide the Recommendation and Explanation
Based on the cash payback periods, Cosmetics should be recommended because it recovers the initial $600,000 investment in just 4 years compared to 5 years for Liquid Soap. Despite having the same total cash flows, the faster recovery of the investment makes the Cosmetics line a preferred option.

Key Concepts

Investment AnalysisNet Cash FlowsProduct Line Comparison
Investment Analysis
Investment analysis is a fundamental process in assessing the viability of a proposed investment. It involves evaluating various financial metrics to decide whether a particular investment aligns with a company's strategic goals.
When Family Care Products Company considers investing in new product lines, it's crucial to analyze the potential returns and risks associated with each option. The cash payback period is one of several metrics used for this analysis.
This metric reveals how quickly an investment can pay back its initial outlay through generated cash flows. Therefore, it's critical to calculate the cash payback period for both product lines in order to compare them and make the most informed decision.
In this scenario, understanding which product line recoups the investment faster enables Family Care Products Company to make a sound investment choice, enhancing financial efficiency and aligning with strategic growth objectives.
Net Cash Flows
Net cash flows are the cash inflows and outflows resulting from an investment. Crucially, they are a key determinant of an investment's profitability and liquidity profile.
In Family Care's case, both the Liquid Soap and Cosmetics lines generate a total of $960,000 in net cash flows over an eight-year period. However, what's pivotal is not just the total amount but the timing of these flows.
The timing dictates how soon the initial investment is recouped; faster recovery enhances liquidity and frees up capital for other opportunities.
Comparing the yearly cash inflows of both product lines:
  • Liquid Soap shows steady inflows of $120,000 yearly.
  • Cosmetics starts with higher inflows, reaching $165,000 in the first year, swiftly reducing the principal balance owed by the investment.
This difference illustrates why merely looking at total figures without considering timing can lead to misleading conclusions.
Product Line Comparison
Product line comparison involves evaluating two or more potential projects to determine which option better suits a company’s strategic aims.
In the exercise provided, the comparison is between the Liquid Soap and Cosmetics lines, specifically using their cash payback periods as a metric.
  • Cosmetics: Has a quicker payback period of 4 years due to higher initial cash inflows.
  • Liquid Soap: A longer payback period of 5 years, given consistent but lower inflows over time.
Ultimately, the quicker recovery of costs through the Cosmetics line makes it more appealing under these conditions.
Even though both lines yield the same total net cash flows eventually, the speed at which they achieve payback significantly influences the decision-making process.
Choosing Cosmetics aligns with strategies that prioritize rapid fund recuperation, allowing for more agile financial management and the potential reprioritization of resources.