Question: Please only solve for part C A manager buys three shares of stock today, and then sells one of those shares each year for the
Please only solve for part C
A manager buys three shares of stock today, and then sells one of those shares each year for the next 3 years. His actions and the price history of the stock are summarized below. The stock pays no dividends.
| Time | Price | Action | ||
| 0 | $ | 130 | Buy 3 shares | |
| 1 | 150 | Sell 1 share | ||
| 2 | 150 | Sell 1 share | ||
| 3 | 150 | Sell 1 share | ||
a. Time-weighted geometric average return on this portfolio
| Time | Cash | Return |
| 0 | 3*-130= -390 | |
| 1 | 1*150= 150 | (150-130)/130= 15.38% |
| 2 | 1*150= 150 | (150-150)/150= 0% |
| 3 | 1*150= 150 | (150-150)/150= 0% |
Geo Avg Ret= (1.1538)1/3 - 1 = 4.88%
b. The time-weighted arithmetic average return on this portfolio
Arith Avg Ret= (15.38+0+0)/3 = 5.13%
c. Calculate the dollar-weighted average return on this portfolio
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