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A short seller wants to short 10 shares of a stock that has a current bid-ask spread of $100-$101. The commission rate is 0.5%.

 

A short seller wants to short 10 shares of a stock that has a current bid-ask spread of $100-$101. The commission rate is 0.5%. The stock pays a dividend of $5 at the end of the year. The lender requires collateral equal to the proceeds of sale plus a haircut of $50 to be posted. The risk free interest rate is 4%. The asset is in reasonable demand, so the lender is able to negotiate a short rebate rate of 3% paid on total collateral. Interest is compounded annually and paid at the end of the year. One year from now the stock has a bid-ask spread of $98 - $99. Assuming the position is covered at the end of the year, calculate the short seller's return on capital.

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