
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
The son of Lieutenant Schmidt received an inheritance of 500,000 rubles and decided it's wise to invest the money. Upon consulting a financial advisor with clairvoyant abilities, he learned of the following investment opportunities for the inheritance:

1) Deposit the money in the "Flying Dutchman" bank with an annual capitalization at a rate of $7 \%$ per year for 5 years.
2) Deposit the money in the "Flying Dutchman" bank without capitalization at a rate of $8 \%$ per year for 5 years.
3) Invest the money in gold bars, considering that the price of gold will increase 1.6 times over 5 years (price of 1 gram of gold $= 2350$ rubles, considering VAT when buying bars from the bank).
4) Invest the money in silver jewelry, considering that the price of silver will increase 1.7 times over 5 years (price of 1 gram of silver $= 31$ rubles, considering VAT and a store markup of $9 \%$ of the silver price), with the plan to sell the items as scrap to a pawnshop.
5) Invest the money in shares of the construction company "Penoblock," considering that the share price will increase by $18 \%$ over 5 years (shares with a nominal value of 400 rubles priced at 500 rubles, with dividends at $5 \%$ per year).

Calculate the profitability of each of the presented investments and determine which one will be the most profitable for the son of Lieutenant Schmidt.

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