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Suppose that Xtel currently is selling at $20 per share

Finance

Suppose that Xtel currently is selling at $20 per share. You buy 1,000 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 8%.

 

a. What is the percentage increase in the net worth of your brokerage account if the price of Xtel immediately changes to: (i) $22; (ii) $20; (iii) $18? What is the relationship between your percentage return and the percentage change in the price of Xtel? (Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

 

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Computation of Percentage Increase in Net Worth:      
Price $22  $20  $18 
Value of Investment (1,000*$22; 1,000*$20; 1,000*$18) $22,000  $20,000  $18,000 
Borrowed Funds (($20*1,000)-$15,000) 5000 5000 5000
Net Worth $17,000  $15,000  $13,000 
% Return on Investment 13.33% 0.00% -13.33%
   = ($17,000-$15,000)/$15,0000  = ($15,000-$15,000)/$15,0000  = ($13,000-$15,000)/$15,0000
% Increase in Stock Price 10.00% 0.00% -10.00%
   =(22-20)/20  =(20-20)/20  =(18-20)/20

Positive relationship. If price rise return rise and vise versa and higher the change in return compared t change in price.