Working and Retirement

Suppose Arlene is concerned about consumption in two periods.  In period 0, she is working and expects to earn $100,000.  In period 1, she will be retired and expects to have a $30,000 pension.  She would like to have exactly the same consumption in each period and can borrow or lend at an interest rate of 10%. 

1. Please determine Arlene's equilibrium consumption in both periods.
2. Calculate the amount she borrows or lends in period 0.