No, the sale of stock is not allowed to be reported on the installment method. Report that sale in full in the year of sale.
Situations where the installment method isn't permitted
Installment method rules don't apply to sales that result in a loss. You can't use the installment method to report gain from the sale of inventory or stocks and securities traded on an established securities market. You must report any portion of the gain from the sale of depreciable assets that's ordinary income under the depreciation recapture rules in the year of the sale. For additional situations and information about when you can't report payments on the installment method, see Publication 537, Installment Sales.
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