Problem 16 - Accounting

Question

The partnership of Angel Investor Associates began operations on January 1, 2010, with contributions from two partners as follows: \(\begin{array}{lr}\text { Jen Wilson } & \$ 45,000 \\ \text { Teresa McDonald } & 55,000\end{array}\) The following additional partner transactions took place during the year: 1\. In early January, Jaime Holden is admitted to the partnership by contributing \(\$ 25,000\) cash for a \(20 \%\) interest. 2\. Net income of \(\$ 160,000\) was earned in 2010. In addition, Jen Wilson received a salary allowance of \(\$ 30,000\) for the year. The three partners agree to an income-sharing ratio equal to their capital balances after admitting Holden. 3\. The partners' withdrawals are equal to half of the increase in their capital balances from income. Prepare a statement of partnership equity for the year ended December 31, \(2010 .\)

Step-by-Step Solution

Answer

Jen Wilson's 2010 ending capital is $37,600, Teresa McDonald's is $49,000, and Jaime Holden's is $25,000.

Step 1: Determine Initial Capital Balances

Initially, the partnership received contributions from Jen Wilson and Teresa McDonald totaling $45,000 and $55,000, respectively. Thus, the initial capital balances are: * Jen Wilson: $45,000 * Teresa McDonald: $55,000.

Step 2: Admission of New Partner

Jaime Holden joins by investing $25,000 for a 20% interest in the partnership. The total capital after this contribution can be calculated by adding the initial contributions with Jaime's contribution: * Total capital: $45,000 (Jen) + $55,000 (Teresa) + $25,000 (Jaime) = $125,000. Jaime's contribution is 20% of the partnership, verifying the division.

Step 3: Adjust for Net Income and Salary

Net income for 2010 is $160,000, and Jen Wilson gets a salary allowance of $30,000, reducing the net income to be shared to $130,000. * Net income to share: $160,000 - $30,000 = $130,000.

Step 4: Calculate Income-Sharing Ratio

The income-sharing ratio is based on capital balances after Jaime's admission. The new capital balances are: * Jen Wilson: $45,000 (initial) + $8,000 (additional capital after Jaime's admission due to 36% interest) * Teresa McDonald: $55,000 (initial) + $17,000 (additional capital after Jaime's admission due to 44% interest) * Jaime Holden: $25,000 (initial as 20% interest) The final capital balances are recalculated after net income distribution.

Step 5: Distribute the Remaining Net Income

Distribute the remaining $130,000 net income based on their capital sharing ratio: * Jen Wilson (36%): $46,800 * Teresa McDonald (44%): $66,000 * Jaime Holden (20%): $26,000.

Step 6: Allow for Partner Withdrawals

Partners withdraw half of the increase in their capital balances from income. The increase came from their share of income: * Jen Wilson: $15,400 (half of $30,800) * Teresa McDonald: $23,000 (half of $46,000) * Jaime Holden: $13,000 (half of $26,000).

Step 7: Prepare the Statement of Partnership Equity

Calculate the final partner capital balances: * Jen Wilson's capital: $45,000 + $8,000 (net income) - $15,400 (withdrawal) = $37,600 * Teresa McDonald's capital: $55,000 + $17,000 (net income) - $23,000 (withdrawal) = $49,000 * Jaime Holden's capital: $25,000 + $13,000 (net income) - $13,000 (withdrawal) = $25,000. Compile this into a statement showing beginning capital, contributions, income, withdrawals, and ending capital for each partner.

Key Concepts

Capital Contributions

When forming a partnership, each partner contributes capital—typically in the form of money or assets—to the business. In this exercise, Jen Wilson initially contributed $45,000, while Teresa McDonald added $55,000. These contributions are vital as they establish the partners' initial equity stakes in the partnership.

It is crucial to understand that these initial capital contributions determine each partner's share of ownership and their rights to subsequent profits or losses in the business. In the case of Angel Investor Associates, after the initial contributions, Jaime Holden was admitted into the partnership by contributing an additional $25,000 in cash for a 20% interest.

The sum of these contributions forms the total initial capital of the partnership, which sets the foundation for further business operations and decisions. With Jaime's entry, the total capital in the partnership increased to $125,000, distributing each partner's ownership interest based on their respective contributions.

Income-Sharing Ratio

The income-sharing ratio dictates how the net income or profit of the partnership is distributed among partners. After admitting Jaime Holden, the income-sharing ratio was adjusted based on each partner's capital balance. This is a common approach in partnerships as it reflects each partner's share and investment in the business.

Before the net income is shared, adjustments like salary allowances need to be considered. In this scenario, Jen Wilson received a $30,000 salary allowance, leaving $130,000 to be shared according to their capital balances. Post-adjustment, the income-sharing ratio for each partner was:

• Jen Wilson: 36%
• Teresa McDonald: 44%
• Jaime Holden: 20%

Determining the income-sharing ratio is crucial for fair distribution of profits and maintaining harmony among partners, ensuring each receives a share proportional to their contribution and stake in the business.

Statement of Partnership Equity

A Statement of Partnership Equity provides a detailed overview of each partner's equity in the business over a period. This document starts with the initial capital balances, incorporates additional contributions or changes, income distribution, and withdrawals.

To prepare this statement, each partner's initial capital is adjusted for any changes, such as new capital contributions or net income, and partner withdrawals. For example, in our exercise:

• Jen Wilson's ending capital: Starting $45,000 + $8,000 (adjusted income) - $15,400 (withdrawal) = $37,600
• Teresa McDonald's ending capital: Starting $55,000 + $17,000 (adjusted income) - $23,000 (withdrawal) = $49,000
• Jaime Holden's ending capital: Starting $25,000 + $13,000 (adjusted income) - $13,000 (withdrawal) = $25,000

The statement helps partners keep track of how their investments have changed and guides future financial or strategic decisions.

Partner Withdrawals

Partner withdrawals are when partners take money out of the business for their personal use. They are recorded in the partnership's books to adjust each partner's equity balance.

In Angel Investor Associates, partner withdrawals were structured to be half of the increase in their respective capital balances due to net income. This ensures the business retains some profits for growth while providing partners with some financial return.

For example, Jen Wilson, with an increase of $30,800 from income, withdrew $15,400. Such strategic withdrawals maintain business sustainability while rewarding partners for their efforts and investments.