THAT'S superwang! Hi and welcome to the forum, no you will not have to sell your house,
The way it works is this: you propose that in the 4th or final year of the IVA you will obtain a market valuation of the property and redemption statements on the mortgage and any further secured charges against the property. Creditors and Insolvency Practitioners realise that it's next to impossible to get a 90-100% remortgage for a debtor in a IVA, so they will settle on a remortgage of up to 85% of the property's value.
If the charges against the property at revaluation time are therefore less than 85% of its value, you will take the remortgage offer to release the equity into the IVA, which will consequently reduce your payments to your IVA. Creditors do not normally wish to see your increased mortgage payments at higher than 60% of the amount you are paying into the IVA.
If you cannot get a remortgage offer at that time, but equity in the property has risen, then creditors may instead agree that the IVA continues for at most one extra year in lieu of release of equity from the property. They are only likely to agree to this though if the amount of equity release being forgone is similar to what one year's extra IVA payments will amount to.
If the amount of equity you have in the property is more than the amount of your unsecured debts at the outset, you cannot enter an IVA; the creditors would simply expect you to remortgage your house to pay off the unsecured debts in full.
If the property is jointly owned with significant equity but only you are subject to the IVA, creditors will expect to see only your share of the equity – your partner's share remains untouched.
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