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The answers to your questions are as follows. (1) You do not need permission to invest in the US whether the investment is directly or through investment in a company. (2) You do not need permission from US authorities to transfer money to US to invest in the properties. (3) You income from rental properties will be taxed at the state level and at the federal level. The state taxes vary considerably from state to state but are generally less than 9%, which is about the highest. The federal tax depends on the amount of the income but the maximum rate is about 40% for individuals and 35% for corporations. These are graduated rates so the rate I gave you is for the highest level of income.
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This communication is not intended as legal advice. A local attorney should always be consulted for legal advice. No client/attorney relationship is intended or created by this communication.