Market rate is the price where supply and demand are equal. If you set price below market rate, the demand will be higher than the supply. So if you create enou

Market rate is the price where supply and demand are equal. If you set price below market rate, the demand will be higher than the supply. So if you create enough below market rate housing that there is no longer a shortage, then it must mean that the supply and demand are equal at that price, which means that it is no longer below market rate.