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Purple Feet Wine, Inc., receives an average of \(\$ 6,000\) in checks per day. The delay in clearing is typically five days. The current interest rate is .025 percent per day. a. What is the company's float? b. What is the most Purple Feet should be willing to pay today to eliminate its float entirely? c. What is the highest daily fee the company should be willing to pay to eliminate its float entirely?

Short Answer

Expert verified
a. The company's float is \(\$ 30,000\). b. The maximum amount Purple Feet should be willing to pay today to eliminate its float entirely is \(\$ 7.50\). c. The highest daily fee the company should be willing to pay to eliminate its float entirely is \(\$ 1.50\).

Step by step solution

01

Calculate the company's float

The company's float is the total amount of money tied up in checks that have not yet cleared. To calculate this, we multiply the average daily amount in checks by the delay in clearing: Float = Average daily amount in checks × Delay in clearing
02

Calculate the maximum amount to eliminate the float

To find the maximum amount the company should be willing to pay to eliminate the float, we will calculate the total cost of the float. The cost of the float equals the float size multiplied by the interest rate: Cost of float = Float × Interest rate
03

Calculate the highest daily fee to eliminate the float

To find the highest daily fee the company should be willing to pay to eliminate the float, we simply divide the cost of the float by the delay in clearing: Highest daily fee = Cost of float / Delay in clearing Now let us compute the values.
04

Calculate the company's float

Float = Average daily amount in checks × Delay in clearing Float = \(\$ 6,000\) × 5 Float = \(\$ 30,000\) The company's float is \(\$ 30,000\).
05

Calculate the maximum amount to eliminate the float

Cost of float = Float × Interest rate Cost of float = \(\$ 30,000\) × 0.00025 Cost of float = \(\$ 7.50\) The maximum amount Purple Feet should be willing to pay today to eliminate its float entirely is \(\$ 7.50\).
06

Calculate the highest daily fee to eliminate the float

Highest daily fee = Cost of float / Delay in clearing Highest daily fee = \(\$ 7.50\) / 5 Highest daily fee = \(\$ 1.50\) The highest daily fee the company should be willing to pay to eliminate its float entirely is \(\$ 1.50\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Interest Rate Impact
Interest rates play a major role in financial decision-making, especially in corporate finance. They influence how much a company should be willing to pay to solve various financial problems.
In the context of the Purple Feet Wine problem, the interest rate is crucial for calculating the cost of the company's float— that is, the money tied up because checks haven't cleared yet.
When money is held up as float, it cannot be invested to earn additional returns. The impact of the interest rate becomes clear when considering how much this delay costs the company in potential earnings.
  • Higher interest rates mean a greater cost for holding money in float.
  • Minimizing the number of days in float can potentially save a company significant money.
  • Understanding interest rates helps in making decisions about eliminating or reducing float.
Knowing the effect of interest rates allows businesses to manage their finances more effectively, potentially saving money that can be better used elsewhere.
Corporate Finance Problems
Corporate finance involves a range of issues, from managing day-to-day expenses to long-term planning and investing.
In this case, Purple Feet Wine faces a problem concerning its float. The company's decision on whether to pay to eliminate float entirely is a classic corporate finance dilemma.
Float affects how much working capital a company has available and can significantly impact a company's cash flow management.
  • Having a large floored amount means less liquid cash available for other opportunities.
  • Deciding whether to eliminate a float can involve calculating various fees and determining potential benefits or savings.
  • Companies must weigh the costs of immediate cash availability against the potential lost income from interest.
By resolving these challenges effectively, a firm can optimize its financial performance and position itself better for future challenges.
Cash Flow Management
Cash flow management is about balancing inflows and outflows of money in a business, ensuring that the company has enough liquid funds at any given time.
For Purple Feet Wine, managing its float is directly tied to cash flow. When checks take time to clear, this money is not available for immediate use, impacting daily operations and financial planning.
Good cash flow management includes:
  • Strategically reducing the time money spends as float to free up funds for other uses.
  • Calculating the cost per day that money is tied up and whether paying fees to eliminate float is cost-effective.
  • Optimizing inflow processes, like quicker check processing, to reduce the float period.
Efficient cash flow management ensures the company can meet its obligations, invest wisely, and take advantage of business opportunities as they arise.

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Most popular questions from this chapter

Each business day, on average, a company writes checks totaling \(\$ 30,000\) to pay its suppliers. The usual clearing time for the checks is four days. Meanwhile, the company is receiving payments from its customers each day, in the form of checks, totaling \(\$ 50,000\). The cash from the payments is available to the firm after two days. a. Calculate the company's disbursement float, collection float, and net float. b. How would your answer to part ( \(a\) ) change if the collected funds were available in one day instead of two?

Pain Free Dentistry, Inc., disburses checks every two weeks that average \(\$ 80,000\) and take seven days to clear. How much interest can the company earn annually if it delays transfer of funds from an interest-bearing account that pays .02 percent per day for these seven days? Ignore the effects of compounding interest.

Your firm has an average receipt size of \(\$ 60 . \mathrm{A}\) bank has approached you concerning a lockbox service that will decrease your total collection time by three days. You typically receive 12,000 checks per day. The daily interest rate is .018 percent. If the bank charges a fee of \(\$ 225\) per day, should the lockbox project be accepted? What would the net annual savings be if the service were adopted?

It takes Cookie Cutter Modular Homes, Inc. about five days to receive and deposit checks from customers. Cookie Cutter's management is considering a lockbox system to reduce the firm's collection times. It is expected that the lockbox system will reduce receipt and deposit times to three days total. Average daily collections are \(\$ 140,000,\) and the required rate of return is 10 percent per year. a. What is the reduction in outstanding cash balances as a result of implementing the lockbox system? b. What is the dollar return that could be earned on these savings? c. What is the maximum monthly charge Cookie Cutter should pay for this lockbox system?

Paper Submarine Manufacturing is investigating a lock-box system to reduce its collection time. It has determined the following: $$\begin{array}{|lr|}\hline \text { Average number of payments per day } & 300 \\\\\text { Average value of payment } & \$ 1,500 \\\\\text { Variable lockbox fee (per transaction) } & \$ .75 \\\\\text { Daily interest rate on money market securities } & .02 \% \\\\\hline\end{array}$$ The total collection time will be reduced by three days if the lockbox system is adopted. a. What is the PV of adopting the system? b. What is the NPV of adopting the system? c. What is the net cash flow per day from adopting? Per check?

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