Capital Gains will be for the giver who is relinquishing the rights or taker (new person who gets the property rights)
Gift v/s Relinquishment
Rahul Bagaria
Capital gains liability: relinquishment makes the transferor liable for capital gains tax on the relinquished rights. Where an owner voluntarily relinquishes property rights, the tax consequence falls on the person whose rights are given up; in relinquishment the transferor (the person surrendering rights) is subject to capital gains tax on the relinquished interest. (AI Summary)
TaxTMI