Co-Ownership Equity Share Calculator NZ
Buying with someone else is mostly an exercise in writing down what everyone already assumes, because the assumptions are rarely the same. Two unequal deposits raise three separate questions that get treated as one: what percentage each person owns, who pays what towards the mortgage, and how the money is divided when the house is eventually sold. They can be answered differently from each other, and the last one is where the real money sits. Returning each deposit before splitting the growth, or splitting everything by ownership share, are both defensible and both common, and on ordinary New Zealand numbers they differ by tens of thousands of dollars. Nobody notices until the property sells, which is exactly the wrong time to find out that the other person understood it differently.
Ownership shares at purchase
| Owner A | Owner B | Total | |
|---|---|---|---|
| Deposit | $150,000.00 | $50,000.00 | $200,000.00 |
| Share of the loan | $350,000.00 | $350,000.00 | $700,000.00 |
| Total stake | $500,000.00 | $400,000.00 | $900,000.00 |
| Ownership share | 55.56% | 44.44% | 100.00% |
What is left to divide
The two methods compared
| Method | Owner A | Owner B |
|---|---|---|
| Deposits returned first each deposit back, principal repaid back, then the growth split by share | $246,666.67 | $133,333.33 |
| Everything by share the whole equity divided by the ownership percentages | $211,111.11 | $168,888.89 |
| Difference | $35,555.56 | -$35,555.56 |
Returning deposits first favours Owner A by $35,555.56. It is not more correct, it is a different agreement, and it needs to be written down before settlement.
Three questions that are not the same question
Co-ownership gets discussed as though the ownership share, the mortgage contribution and the sale proceeds all follow from one decision. They do not. The share on the title is a property law question, the mortgage contribution is a cashflow arrangement between the owners, and the division of proceeds is whatever the property sharing agreement says. It is entirely possible to own fifty per cent, pay sixty per cent of the mortgage and receive forty per cent of the proceeds, and none of those is inconsistent with the others. Problems come from assuming that fixing one of them fixes the other two.
Why the shares are not simply the deposit ratio
On the default figures one deposit is three times the other, and yet the ownership shares are much closer together than three to one. That is because the loan is a contribution too. When two people share a mortgage equally, they are contributing equally to the largest part of the purchase, and the deposit difference is diluted against it. Change the loan split to follow the deposits instead and the shares move to match the deposits exactly. Neither is right in the abstract. What matters is that the share recorded on the title follows from a stated view about who is contributing what.
The method of division is where the money is
Returning each deposit before splitting the growth treats the deposits as capital lent to the arrangement and to be repaid before anyone shares in the upside. Splitting everything by ownership share treats the deposits as having already bought a percentage, so the person who put in more owns more and that is the end of it. Both are used and both are defensible. On the default figures they differ by more than thirty-five thousand dollars for the same person on the same sale. That gap is the reason a property sharing agreement is not paperwork.
Worked example
Two people buy at $900,000.00. Owner A puts in $150,000.00 and Owner B $50,000.00, so the loan is $700,000.00 and they share it equally at $350,000.00 each. Owner A's total stake is $500,000.00 and Owner B's is $400,000.00, giving shares of 55.56% and 44.44%.
The property later sells for $1,050,000.00. After $30,000.00 of selling costs and repaying the $640,000.00 still owed, $380,000.00 is left. That is the original $200,000.00 of deposits, the $60,000.00 of principal repaid along the way, and $120,000.00 of growth net of costs.
Returning deposits and principal first and splitting only the growth gives Owner A $246,666.67 and Owner B $133,333.33. Dividing the whole $380,000.00 by ownership share instead gives Owner A $211,111.11 and Owner B $168,888.89. The choice of method is worth $35,555.56.
How this is calculated
The loan is the purchase price less both deposits, and it is divided either equally or in proportion to the deposits, as selected. Each owner's stake is their deposit plus their share of the loan, and their ownership share is that stake as a percentage of the purchase price. At sale, the equity available is the sale price less selling costs less the loan balance outstanding. Principal repaid is the original loan less that balance, and is credited to each owner in the same proportion as they took on the loan. Under the first method each owner receives their deposit back, plus their share of the principal repaid, plus their ownership share of whatever remains. Under the second the whole equity is multiplied by the ownership share. Both methods distribute the same total, so the difference for one owner is always the mirror image of the difference for the other.
Official sources
- Records of title, Land Information New Zealand
- Buying and selling property, New Zealand Law Society
- Buying with others, Sorted
- The bright-line test, Inland Revenue
Related NZ calculators
- Joint Mortgage Split Calculator for dividing the repayment rather than the ownership
- Mortgage Deposit Gift Calculator if part of a deposit is a gift
- Guarantor Risk Exposure Calculator if family are guaranteeing rather than co-owning
- Net Sale Proceeds Calculator for the equity figure on its own
- Buying a Home With Family, the guide behind this calculator
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