Subjects finance

Total Return 963675

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Total Return 963675


1. **Problem Statement:** Calculate the total return for the shares of PQR Co. Ltd. over the 10-year period from 2010 to 2019 using the given prices and dividends. 2. **Formula for Total Return:** Total return over a period is calculated as the sum of capital gains and dividends received, expressed as a percentage of the initial investment. $$\text{Total Return} = \frac{(P_{end} - P_{start}) + \sum \text{Dividends}}{P_{start}} \times 100$$ where $P_{start}$ is the price at the beginning (2010), $P_{end}$ is the price at the end (2019), and $\sum \text{Dividends}$ is the total dividends received over the period. 3. **Given Data:** - $P_{start} = 135$ (price in 2010) - $P_{end} = 220$ (price in 2019) - Dividends each year: 15, 18, 20, 32, 20, 14, 14, 8, 16, 20 4. **Calculate Total Dividends:** $$15 + 18 + 20 + 32 + 20 + 14 + 14 + 8 + 16 + 20 = 177$$ 5. **Calculate Capital Gain:** $$P_{end} - P_{start} = 220 - 135 = 85$$ 6. **Calculate Total Return:** $$\frac{85 + 177}{135} \times 100 = \frac{262}{135} \times 100 \approx 194.07\%$$ **Final Answer:** The total return on the shares over the 10-year period is approximately **194.07%**.