Any uses of current income for purposes other than purchasing currently produced domestic goods and services are called an injection

Bill Gates is a founder of Microsoft and the world's richest individual. Suppose Microsoft sells more software and Mr. Gates acquires another billion dollars in wealth

Simultaneously, suppose a burglar whose income is well below average broke into Bill Gates' house and stole a million dollars' worth of antiques. Using the "it's not fair if the rules aren't fair" approach to fairness, is Mr. Gates' acquisition of additional wealth fair? Is the (poor) thief's acquisition fair?

What are the predictions of the PPP theory with regards to the real exchange rates?

What will be an ideal response?