The correct option is A. purchased at a certain price. Explanation of the Correct Answer Goodwill is an intangible asset that represents the excess value of a business over its identifiable net assets. It typically arises when a company is acquired for more than the fair value of its net identifiable assets (assets minus liabilities). Here’s a detailed breakdown of why option A is correct:

1. Definition of Goodwill: Goodwill is defined as the premium that a buyer is willing to pay for a business over and above the fair value of its identifiable assets and liabilities. This can include factors such as brand reputation, customer relationships, employee relations, and other intangible benefits that contribute to the business's earning potential.
2. Acquisition Context: Goodwill is recorded on the balance sheet when a business is purchased. For example, if Company A buys Company B for $1 million, and the fair value of Company B's identifiable net assets is $800,000, the goodwill recorded would be $200,000 ($1,000,000 - $800,000). This reflects the additional value that Company A perceives in Company B beyond its tangible assets.
3. Accounting Standards: According to accounting standards (such as IFRS and GAAP), goodwill is recognized only in the context of a business combination. It is not something that can be created or raised arbitrarily; it must be a result of a transaction where a business is acquired.

Explanation of Why Other Options Are Incorrect B. raised in connection with the admission of a new partner: - This option is misleading because goodwill can be recognized in partnerships when a new partner is admitted, but it is not "raised" in the same way as in a business acquisition. In partnerships, goodwill may be calculated and shared among partners, but it does not appear on the balance sheet as an asset in the same manner as purchased goodwill. Instead, it is often treated as a personal asset of the partners. C. raised to account for the true value of a business on the death of a partner: - Similar to option B, this option refers to a situation where goodwill may be recognized in a partnership context. However, it does not reflect the standard accounting treatment of goodwill as an asset. Goodwill may be considered in the valuation of a partnership upon a partner's death, but it is not recorded in the same way as purchased goodwill in a business acquisition. D. raised in order to prevent the balance sheet showing that the business is insolvent: - This option is incorrect because goodwill cannot be created or manipulated to alter the financial position of a business. Goodwill is a legitimate asset that arises from a business acquisition and cannot be used to mask insolvency. If a business is insolvent, it must address its liabilities and financial obligations rather than artificially inflating its asset values. Summary of Key Points

• Goodwill is an intangible asset that arises when a business is acquired for more than the fair value of its identifiable net assets.
• It is recorded on the balance sheet only in the context of a business combination, reflecting the premium paid for the business.
• Goodwill cannot be raised arbitrarily; it must result from a legitimate transaction, such as a business purchase.
• Partnership scenarios involving goodwill do not equate to the same accounting treatment as goodwill from business acquisitions.

This understanding of goodwill is crucial for financial accounting, especially when analyzing business combinations and the valuation of intangible assets.