Phil bought 700 shares of a company’s stock for $9.29/share. He pays a broker a commission of $18 to buy and sell stock. After one year, he sold all his shares, which were worth $9.90/share at that time. What was his rate of return

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Answer:

The rate of return is 6.5% .

Step-by-step explanation:

As given

Phil bought 700 shares of a company’s stock for $9.29/share.

He pays a broker a commission of $18 to buy and sell stock.

After one year, he sold all his shares, which were worth $9.90/share at that time.

Cost price of the 700 shares of a company = 700 × Cost per share + Commission cost .

Cost price of the 700 shares of a company = 700 × 9.29 + 18

                                                                        = 6503 + 18

                                                                        = $ 6521

Selling st price of the 700 shares of a company = 700 × Cost per share + Commission cost .

Selling st price of the 700 shares of a company = 700 × 9.90 + 18

                                                                                  = 6930 + 18

                                                                                  = $ 6948

[tex]Rate\ of\ return = \frac{(Selling\ price\ of\ the\ 700\ shares-Cost\ price\ of\ the\ 700\ shares)\times 100}{Cost\ price\ of\ the\ 700\ shares}[/tex]

Put all the values in the above

[tex]Rate\ of\ return = \frac{(6948 - 6521)\times 100}{6521}[/tex]

[tex]Rate\ of\ return = \frac{427\times 100}{6521}[/tex]

[tex]Rate\ of\ return = \frac{42700}{6521}[/tex]

Rate of return = 6.5%

Therefore the rate of return is 6.5% .