Please only solve 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. Calculate the 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. Calculate 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

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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Please only solve 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. Calculate the 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. Calculate 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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