7.3 Partnership Liquidation: Lump-Sum and Installment Methods

Partnership Liquidation: Lump-Sum and Installment Methods

Liquidation is the final stage of the partnership's life and a favorite AFAR computation (syllabus topic 1.4). This section applies the Article 1839 order of payment and marshaling of assets, compares lump-sum and installment liquidation, and computes safe payments and a cash priority program, proving that both produce the same distribution.

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1. Partnership Liquidation: Legal Rules & Marshaling of Assets

Liquidation represents the complete winding up of partnership affairs. Under Article 1839 of the Civil Code of the Philippines, specific rules govern the order of claims settlement and the marshaling of assets:

                            Order of Priority in Liquidation
                                           │
         ┌─────────────────────────────────┴─────────────────────────────────┐
         ▼                                                                   ▼
1. Outside Creditors                                                2. Inside Creditors
   Third-party debts owed to banks, suppliers, & employees.            Loans & advances payable to partners.
         │                                                                   │
         └─────────────────────────────────┬─────────────────────────────────┘
                                           ▼
                                 3. Partners' Capital
                                    Return of capital contributions.
                                           │
                                           ▼
                                  4. Partners' Profits
                                     Residual surplus divided by P/L ratio.

The Doctrine of Marshaling of Assets

When both the partnership and individual general partners face financial insolvency, the doctrine of marshaling of assets dictates:

1. Partnership assets are applied first to the payment of partnership creditors.
2. Personal assets of each partner are applied first to the payment of that partner's separate personal creditors.
3. Surplus personal assets of a solvent partner are applied to unpaid partnership creditors, reflecting the unlimited liability of general partners.
4. Surplus partnership assets (a partner's remaining share in partnership capital) are applied to the payment of the partner's separate personal creditors.

The Right of Offset

If a partner develops a debit balance (deficiency) in their capital account during liquidation, but the partnership owes that same partner a loan payable, accounting law invokes the Right of Offset. The loan payable is offset against the capital deficiency up to the amount of the deficit before any cash is paid to the partner or demanded from them.

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2. Lump-Sum Liquidation vs. Installment Liquidation

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3. Installment Liquidation: Schedule of Safe Payments

To prevent overpaying any partner during an interim distribution, the liquidator prepares a Schedule of Safe Payments based on two conservative, non-negotiable assumptions:

1. Maximum Possible Loss Assumption: All remaining unsold non-cash assets are assumed to be a total loss (worth PHP 0).
2. Contingency Reserve Assumption: All cash reserved for future liquidation expenses, unrecorded liabilities, or contingencies is assumed to be fully expended and unavailable for distribution.
3. Hypothetical Partner Deficiency Absorption: Any partner whose capital balance becomes negative under the maximum loss assumption is assumed to be completely insolvent. Their hypothetical deficiency is allocated to the remaining partners with positive balances in proportion to their relative profit/loss ratio.

Only partners who maintain a positive capital balance after absorbing all maximum possible losses and hypothetical deficiencies are entitled to receive cash.

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4. The Cash Priority Program (Cash Predistribution Schedule)

Rather than recalculating a complex Schedule of Safe Payments at every single sale of assets, accountants prepare a Cash Priority Program at the very beginning of the liquidation.

Step-by-Step Methodology

1. Determine Total Partner Interest: Sum each partner's capital balance and loan balance (or deduct loan receivable advances): $\text{Total Partner Interest} = \text{Capital Balance} \pm \text{Partner Loan Balance}$
2. Calculate Loss Absorption Capacity (LAC): $\text{Loss Absorption Capacity (LAC)} = \frac{\text{Total Partner Interest}}{\text{Partner's Profit/Loss Sharing Ratio}}$ The partner with the highest LAC can withstand the largest partnership loss without becoming deficient. Consequently, that partner is the most secure and entitled to receive cash first.
3. Equalize Loss Absorption Capacities:
   • Tranche 1: Distribute sufficient cash to the partner with the highest LAC to reduce their LAC to the level of the second-highest partner.
   • Tranche 2: Distribute cash to the top two partners in their relative profit/loss ratio to reduce their LACs to the level of the third-highest partner.
   • Tranche 3: Once all partners' LACs are equalized, all subsequent available cash is distributed strictly according to their standard profit/loss sharing ratio.

$\text{Cash Required to Reduce LAC} = \Delta \text{LAC} \times \text{Partner's P/L Ratio}$

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5. Comprehensive Worked Example: Installment Liquidation

The partnership of Dela Cruz (40%), Mercado (30%), and Aquino (30%) decides to liquidate. The balance sheet immediately prior to liquidation is as follows:

Assets:
  Cash:                                             PHP  50,000
  Non-Cash Assets:                                  PHP 720,000
  Loan Receivable - Mercado:                        PHP  20,000
Total Assets:                                       PHP 790,000

Liabilities and Equity:
  Liabilities to Outside Creditors:                 PHP 120,000
  Loan Payable - Dela Cruz:                         PHP  40,000
  Dela Cruz, Capital:                               PHP 280,000
  Mercado, Capital:                                 PHP 200,000
  Aquino, Capital:                                  PHP 150,000
Total Liabilities and Equity:                       PHP 790,000

Part 1: Preparation of the Cash Priority Program

Compute initial partner interests:

• Dela Cruz: Capital PHP 280,000 + Loan PHP 40,000 = PHP 320,000
• Mercado: Capital PHP 200,000 - Loan Receivable PHP 20,000 = PHP 180,000
• Aquino: Capital PHP 150,000 = PHP 150,000

Tranche Determination

Tranche 1: Reduce Dela Cruz LAC from PHP 800,000 to PHP 600,000 (Difference: PHP 200,000)
  Cash to Dela Cruz = PHP 200,000 x 40% = PHP 80,000

Tranche 2: Reduce Dela Cruz and Mercado LAC from PHP 600,000 to PHP 500,000 (Difference: PHP 100,000)
  Cash to Dela Cruz = PHP 100,000 x 40% = PHP 40,000
  Cash to Mercado   = PHP 100,000 x 30% = PHP 30,000
  Subtotal Tranche 2                     = PHP 70,000

Tranche 3: All remaining cash distributed in P/L Ratio (40% : 30% : 30%)

Summary Cash Priority Distribution Table

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Part 2: Month 1 Operations and Cash Distribution

During Month 1:

1. Non-cash assets with a book value of PHP 270,000 are realized for PHP 210,000 (loss of PHP 60,000).
2. Liquidation expenses of PHP 10,000 are paid.
3. Actual outside liabilities of PHP 120,000 are paid in full.
4. The liquidator determines that PHP 15,000 cash must be retained for anticipated future liquidation expenses.

Cash Available for Distribution to Partners

Beginning Cash:                                    PHP  50,000
Add: Proceeds from realization of non-cash assets: PHP 210,000
Less: Liquidation expenses paid:                  (PHP  10,000)
Less: Outside creditors paid:                     (PHP 120,000)
Cash balance at end of Month 1:                    PHP 130,000
Less: Cash reserved for future expenses:          (PHP  15,000)
Cash available for distribution to partners:       PHP 115,000

Application of the Cash Priority Program

From the available partner cash of PHP 115,000:

• Tranche 1: The first PHP 80,000 is paid exclusively to Dela Cruz. (Applied first against his PHP 40,000 loan payable, and the remaining PHP 40,000 against his capital).
• Tranche 2: The remaining PHP 35,000 ($\text{PHP }115{,}000 - \text{PHP }80{,}000$) is divided between Dela Cruz and Mercado based on their relative ratio $40 : 30$:
  • Dela Cruz: $\text{PHP }35{,}000 \times \frac{40}{70} = \text{PHP }20{,}000$
  • Mercado: $\text{PHP }35{,}000 \times \frac{30}{70} = \text{PHP }15{,}000$
• Total Cash Distributed in Month 1:
  • Dela Cruz: $\text{PHP }80{,}000 + \text{PHP }20{,}000 = \text{PHP }100{,}000$
  • Mercado: $\text{PHP }15{,}000$
  • Aquino: PHP 0
  • Total: $\text{PHP }100{,}000 + \text{PHP }15{,}000 = \text{PHP }115{,}000$

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Part 3: Proof via Schedule of Safe Payments (Month 1)

1. Net Capital Balances before Distribution:
   • Total realization loss: $\text{PHP }60{,}000$ loss on sale + $\text{PHP }10{,}000$ expenses paid = $\text{PHP }70{,}000$.
   • Dela Cruz (40%): $\text{PHP }320{,}000 - (\text{PHP }70{,}000 \times 0.40) = \text{PHP }292{,}000$
   • Mercado (30%): $\text{PHP }180{,}000 - (\text{PHP }70{,}000 \times 0.30) = \text{PHP }159{,}000$
   • Aquino (30%): $\text{PHP }150{,}000 - (\text{PHP }70{,}000 \times 0.30) = \text{PHP }129{,}000$
2. Maximum Possible Losses to Absorb:
   • Remaining unsold non-cash assets: $\text{PHP }720{,}000 - \text{PHP }270{,}000 = \text{PHP }450{,}000$
   • Cash reserved for future expenses: $\text{PHP }15{,}000$
   • Total Maximum Possible Loss: $\text{PHP }450{,}000 + \text{PHP }15{,}000 = \text{PHP }465{,}000$
3. Allocation of Maximum Possible Loss (40:30:30):
   • Dela Cruz: $\text{PHP }465{,}000 \times 0.40 = \text{PHP }186{,}000$
   • Mercado: $\text{PHP }465{,}000 \times 0.30 = \text{PHP }139{,}500$
   • Aquino: $\text{PHP }465{,}000 \times 0.30 = \text{PHP }139{,}500$
4. Interim Balance:
   • Dela Cruz: $\text{PHP }292{,}000 - \text{PHP }186{,}000 = \text{PHP }106{,}000$
   • Mercado: $\text{PHP }159{,}000 - \text{PHP }139{,}500 = \text{PHP }19{,}500$
   • Aquino: $\text{PHP }129{,}000 - \text{PHP }139{,}500 = -\text{PHP }10{,}500$ (Deficit!)
5. Absorption of Aquino's Hypothetical Deficit by Dela Cruz and Mercado (40:30):
   • Dela Cruz absorbs: $\text{PHP }10{,}500 \times \frac{4}{7} = \text{PHP }6{,}000$
   • Mercado absorbs: $\text{PHP }10{,}500 \times \frac{3}{7} = \text{PHP }4{,}500$
6. Safe Payments:
   • Dela Cruz: $\text{PHP }106{,}000 - \text{PHP }6{,}000 = \text{PHP }100{,}000$
   • Mercado: $\text{PHP }19{,}500 - \text{PHP }4{,}500 = \text{PHP }15{,}000$
   • Aquino: PHP 0

The Schedule of Safe Payments exactly replicates the Cash Priority Program distribution, confirming the mathematical validity of both methodologies.