What is the impact (if any) of negative interest rates on: a) The put-call parity result for

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What is the impact (if any) of negative interest rates on:
a) The put-call parity result for European options
b) The result that American call options on non-dividend-paying stocks should never be exercised early.
c) The result that American put options on non-dividend paying stocks should sometimes be exercised early.
Assume that holding cash earning zero interest is not possible.
Stocks
Stocks or shares are generally equity instruments that provide the largest source of raising funds in any public or private listed company's. The instruments are issued on a stock exchange from where a large number of general public who are willing...
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