nvestigating the implications of a two-period model with investment. Assume the representative consumer chooses consumption and investment in periods 1 and 2, to maximize the following utility function: U
Where   is the discount factor, ci is consumption in period i = 1; 2, Ii is
investment in period i, ki is the stock of capital, Ai is a productivity shift
parameter, and F() is the production function. Assume that depreciation
is zero, and that the interest rate, r, is a constant.
Show that optimal consumption in period 1 is a fraction of lifetime
income.