The trophy is unlocked when your funds on hand reach 100,000. It will almost certainly be unlocked during normal game play unless one makes a conscious effort not to accumulate funds. It can be unlocked fairly early. Players who want to get it out of the way quickly can go to an item shop and sell the materials they gather. Once the available funds shown on the Item Shop sell screen reach 100,000 the trophy will unlock. If a save is made just prior to going to the item shop, the player can revert to the previous save and recover the sold items back in inventory.
Note: This trophy cannot be bought in the secret trophy shop that becomes available after three playthroughs. Being a silver trophy, it would cost 100,000 gold. However, if one had 100,000 gold to buy a silver trophy, the 'Desire Without Emotion' Trophy would already have popped.