Solve the initial-value problem. 
Definitions:
Income Recognition
The accounting principle that determines the specific conditions under which income becomes recognized as revenue on the financial statements.
Put Option
A financial derivative that gives the holder the right but not the obligation to sell a specified amount of an underlying asset at a predetermined price within a specified time frame.
Foreign Currency
Monetary units issued by countries other than the home country of a business or investor, involved in international transactions.
Right to Sell
The legal permission or authority given to a person or entity to sell a product or service.
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