Gerunds Take the Possessive

Which sentence is correct?

1. Our withdrawal depends on Turkey pledging not to attack the Kurds.

2. Our withdrawal depends on Turkey’s pledging not to attack the Kurds.

#2 is correct, for a simple reason: Because gerunds (in this case, Turkey) take the possessive.

Similarly, which of these sentences is correct?

1. I appreciate you taking time to talk with me.

2. I appreciate your taking time to talk with me.

Again, #2 is correct, for a simple reason: Because gerunds (in this case, taking) take the possessive.