Providing Choice for Social Security Retirees Act This bill allows an individual to claim a delayed-retirement credit for Social Security retirement benefits in a partial lump sum. Under current law, an individual's Social Security retirement benefits are increased by a two-thirds of 1% for each month in which the individual, after attaining full retirement age but prior to attaining age 70, delays claiming those benefits. The bill allows an individual who delays claiming Social Security retirement benefits to instead opt to receive a smaller percentage increase (one-half of 1%) for each applicable month, plus a one-time lump sum payable at the time of the individual's entitlement to the benefits. The amount of this lump sum shall equal the sum of the present values of one-sixth of 1% of the amount of the individual's monthly benefits for each month in the individual's life-expectancy period.