In: Finance
You purchased 100 shares of Express Scripts common stock on margin at $70.38 per share. Assume the initial margin is 50% and the maintenance margin is 30%. One year later, the stock price closes at $71.75. If the broker’s call loan rate is 2.00%, what is your return on equity?
Can I please get a step by step breakdown so that I can better understand the process involved? Thank you.
Number of share = 100
Price per share = $70.38
Total value of investment = $70.38 × 100
= $7,038
Initial margin = 50%
Percent of investment borrowed = 50%
Total value of own fund invested = $7,038 × 50%
= $3,519
Loan = $3,519
Interest rate on loan = 2%
Value of loan plus interest in one year = $3,519 × (1 + 2%)
= $3,589.38.
Total amount need to pay after one year is $3,589.38.
Stock price goes up $71.75.
Value of investment after one year = $71.75 × 100
= $7,175.
Value of equity after repayment of debt = $7,175 - $3,589.38
= $$3,585.62.
Return on equity = ($3,582.62 - $3,519) / $3,519
= $66,62 / $3,519
= 1.89%
Return on equity is 1.89%.