
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Assuming the monthly interest rate for a one-year bank deposit in 2000 was 0.465%, and the increase in the price index was also 0.465%. If $100 at the beginning of 2000 was not deposited into the bank, then by the end of the year, its purchasing power decreased by     .

Present the answer in LaTex format: \boxed{Your answer}
user