Problem 26 - Accounting

Question

A printing press priced at a fair market value of \(300,000 is acquired in a transaction that has commercial substance by trading in a similar press and paying cash for the difference between the trade-in allowance and the price of the new press. a. Assuming that the trade-in allowance is \)120,000, what is the amount of cash given? b. Assuming that the book value of the press traded in is $115,500, what is the gain or loss on the exchange?

Step-by-Step Solution

Answer

a) The cash given is 180,000. b) The gain on the exchange is 4,500.

Step 1: Calculate Amount of Cash Given

First, determine the amount of cash given in the transaction. You can do this by subtracting the trade-in allowance from the fair market value of the new press. Given that the fair market value of the new press is \(300,000\) and the trade-in allowance is \(120,000\), the equation is:\[\text{Cash Given} = 300,000 - 120,000\]This calculation results in: \[\text{Cash Given} = 180,000\]Therefore, the amount of cash given is \(180,000\).

Step 2: Calculate Gain or Loss on the Exchange

To find the gain or loss on the exchange, subtract the book value of the press traded in from the trade-in allowance. If the allowance is greater than the book value, it's a gain; otherwise, it's a loss.Here, the trade-in allowance is \(120,000\) and the book value is \(115,500\). Calculate the difference:\[\text{Gain/Loss} = 120,000 - 115,500\]The calculation gives:\[\text{Gain/Loss} = 4,500\]Since the trade-in allowance is greater than the book value, there is a gain of \(4,500\).

Key Concepts

Market Value

The market value of an asset is essentially its current worth in the open market. This is the price you could expect to receive if you were to sell the asset in a well-functioning market where willing buyers and sellers interact. It is important to note that market value can fluctuate due to factors such as demand, market conditions, and the asset's condition. In the original exercise, the market value of the new printing press is given as \(300,000\). This figure represents the amount the press is expected to sell for under normal market conditions. It is a crucial starting point in financial transactions like trade-ins, as it determines the basis for calculating any cash difference when exchanging assets. Understanding market value helps businesses make informed decisions regarding asset acquisitions and disposals.

Trade-in Allowance

A trade-in allowance is the amount credited to you when you exchange an old asset for a new one. It reduces the actual cost of the new asset and is often based on the perceived worth and anticipated resale value of the traded item. In our given problem, the trade-in allowance is \(120,000\). This means that when the older press was traded in, the company offered \(120,000\) towards the purchase of the new press.

• This deduction acts as a pseudo-discount on the new asset's price.
• The trade-in allowance can be influenced by the current condition of the asset being traded.
• It also bears the expectation of what value the old asset can fetch in resale.

Exploring the trade-in allowance concept helps individuals and businesses negotiate better deals, emphasizing the old asset's value in new acquisitions.

Book Value

The book value of an asset is its original cost minus any accumulated depreciation. It's an accounting figure representing what the asset is worth on the company's books, irrespective of its current market value. This value plays a vital role in understanding the gain or loss during asset exchanges. In the exercise scenario, the book value of the traded printing press is \(115,500\). It means that after accounting for depreciation and other adjustments, this is the value recorded in the company's financial reports.

• Book value provides a more stable measure than market value, which can vary widely.
• It helps in assessing the financial health and efficiency of asset usage within a business.
• The difference between book value and trade-in allowance helps determine any gain or loss in an exchange.

This concept ensures transparency and accuracy in financial reporting, helping businesses manage their resources wisely.

Gain or Loss Calculation

Calculating the gain or loss on an asset exchange is crucial for understanding the financial outcome of the transaction. This involves comparing the trade-in allowance to the book value of the asset given up. In our transaction example, the calculation goes as follows: subtract the book value of \(115,500\) from the trade-in allowance of \(120,000\):\[\text{Gain/Loss} = 120,000 - 115,500 = 4,500\]The result is a gain of \(4,500\), indicating that the company benefited from the transaction beyond just acquiring a new press.

• A positive result signifies a gain, meaning the trade-in allowance exceeded the book value.
• A negative result would indicate a loss, showing the allowance was less than the book value.

Understanding gain or loss calculations is essential for evaluating the success of asset exchanges and making informed financial decisions for future transactions.