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Confirming the information in your initial post, there is a total of $14,000 of losses comprised of a long term loss of $6,000, a short term loss of $5,000 and another short term loss of $3,000.
The maximum loss that can be deducted from your other income in 1 year is $3,000 (whether it is short or long term). Your remaining losses can be carried over indefinitely until they are used up and retain their character as short or long term. In this instance, the $3,000 short term loss offsets your other income and you then have $5,000 of short term carryover losses and $6,000 of long term losses for future years. So for example if you have no other gains or losses next year then you will offset your other income by $3,000 and you will then have $2,000 of short term carryover losses and $6,000 of long term carryover losses for future years. The losses continue to be carried over until entirely used up.