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An investor buys 300 shares of stock selling at $65 per share using a margin of 70%

Finance Feb 23, 2021

An investor buys 300 shares of stock selling at $65 per share using a margin of 70%. The stock pays annual dividends of $2 per share. A margin loan can be obtained at an annual interest cost of 4%. Determine what return on invested capital the investor will realize if the price of the stock increases to $84 within six months. What is the annualized rate of return on this transaction?

Expert Solution

Loan Amount = 65* 300* (1- Margin)

= 19500* (1- 70%)

= 5850

 

Margin Amount = 19500* 70%

= 13650

 

Interest Paid half yearly= Loan * Annual interest/2

= 5850* 4%/2

=117

 

Rise in price of stock = 84 *300

= 25200

 

Dividend half yearly = 2* 300/ 2

= 300

 

Six month Return % = ( New Stock Value - Initial Stock Value - Interest + Dividend )/Margin amount

= (25200- 19500- 117 +300)/ 13650

= 43.10%

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