Question: a)What is a margin call? To what level should the trader top up her/his account once receiving a margin call? (7 marks) b)An investor shorts

a)What is a margin call? To what level should the trader top up her/his account once receiving a margin call?
(7 marks)
b)An investor shorts 100 shares of a stock when the share price is $50 and closes out the position six months later when the share price is $43. The stock pays a dividend of $3 per share during the six months. Does the investor gain or lose? How much does the investor gain/lose?
(8 marks)
c)The spot price of an asset that pays no dividend is $30 and the risk-free rate for all maturities (with continuous compounding) is 10% per annum. What is the three-year forward price?

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