) Today is t = 0. The risk free rate is 1% per month, and the inflation rate is 0.3%

per month. At t = 0 a hamburger costs $1.

Your pension will pay you $1,000 at month t = 80. Each month thereafter your pension will

pay you 0.3% more money than the previous month, up to and including t = 200.

You have 3 goals for your retirement:

i) consume a certain number of hamburgers at t = 170, and then consume 4% fewer

hamburgers each month until t = 200

ii) have $10,000 left in your bank account at t = 200

iii) donate $100 every month from t = 130 to t = 180 to the "SaveaShark" foundation

Based only on the pension income stream, and having access to the 1% monthly interest

rate for borrowing or lending, write down one equation using the NOMINAL approach where the only unknown is C,

where C represents the number of dollars you are spending on hamburgers at t = 170 such that you would be able to satisfy your 3 retirement goals