How would the distribution of income change if Social Security were privatized?

Privatizing social security would mean that it is no longer a guaranteed system that Americans can depend on. Instead, it would be more like a pension program, and many pension programs have ended because private companies have found them too costly. It is not worth the risk of such an important program ending or being downsized. People are really not going to save for there retirement money..that why we have this program so when we retire we can safely know that we have money.