
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
Someone borrows 20,000 Forints at an interest rate of 4% and commits to repaying it in 10 equal annuities, with the first annuity payment occurring three years after the loan is taken. What is the amount of each annuity payment? The borrower dies after making the fifth annuity payment, and the heirs prefer to pay off the entire remaining debt in one lump sum two years after the death. How much will they have to pay?

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