Subjects finance

Stock Return 736Fce

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1. **Problem statement:** An investor buys 100 shares of GE at $34.78 per share, pays a $50 commission on purchase, sells 100 shares a year later at $36.78 per share with a 2% commission on sale, and receives dividends of $1.06 per share. Find total cost, total dividend, selling commission, capital gain, total return, and percent return. 2. **Total cost:** Purchase price per share is $34.78, number of shares is 100, and purchase commission is $50. $$\text{Total cost} = (\text{Price per share} \times \text{Number of shares}) + \text{Purchase commission}$$ $$= (34.78 \times 100) + 50 = 3478 + 50 = 3528$$ 3. **Total dividend:** Dividend per share is $1.06, number of shares is 100. $$\text{Total dividend} = 1.06 \times 100 = 106$$ 4. **Commission when selling:** Selling price per share is $36.78, number of shares is 100, commission rate is 2%. $$\text{Selling commission} = 0.02 \times (36.78 \times 100) = 0.02 \times 3678 = 73.56$$ 5. **Capital gain:** Capital gain is the difference between selling price and purchase price times number of shares minus selling commission. $$\text{Capital gain} = (36.78 - 34.78) \times 100 - 73.56 = 2 \times 100 - 73.56 = 200 - 73.56 = 126.44$$ 6. **Total return:** Total return is capital gain plus total dividend. $$\text{Total return} = 126.44 + 106 = 232.44$$ 7. **Percent return:** Percent return is total return divided by total cost times 100. $$\text{Percent return} = \frac{232.44}{3528} \times 100 \approx 6.59\%$$ **Final answers:** (a) Total cost = 3528 (b) Total dividend = 106 (c) Selling commission = 73.56 (d) Capital gain = 126.44 (e) Total return = 232.44 (f) Percent return = 6.59%