With a 2.4% WEEKLY Inflation paid to Miners, ZCash can't go up a whole lot in fiat. It needs 2.4% new money every week to not go down (or just "hope" the miners are HODLers). PIVX doesn't need any new money to stay stable. That's the economics of a stable, owner run Currency.
RE: Why Economics MATTER in Cryptocurrencies: A Case Study