This paper studies capital accumulation and equilibrium interest rates in stochastic production economies with the concern of social status. Given a specific utility function and production function, explicit solutions for capital accumulation and equilibrium interest rates have been derived. With the aid of steady-state distributions for capital stock, the effects of fiscal policies, social-status concern, and stochastic shocks on capital accumulation and equilibrium interest rates have been investigated. A significant finding of this paper is the demonstration of multiple stationary distributions for capital stocks and interest rates with the concern of social status.