XYZ's stock price and dividend history are as follows:   Year   Beginning-of-Year Price         Dividend Paid at Year-End   2016 $ 150       $ 4   2017   180         4   2018   130         4   2019   150         4                       An investor buys three shares of XYZ at the beginning of 2016, buys another two shares at the beginning of 2017, sells one share at the beginning of 2018, and sells all four remaining shares at the beginning of 2019.   a. What are the arithmetic and geometric average time-weighted rates of return for the investor? (Round your year-by-year rates of return and final answer to 2 decimal places. Do not round other calculations.)   b. What is the dollar-weighted rate of return? (Hint: Carefully prepare a chart of cash flows for the four dates corresponding to the turns of the year for January 1, 2016, to January 1, 2019. If your calculator cannot calculate internal rate of return, you will have to use trial and error.) (Round your answers to 4 decimal places. Negative amount should be indicated by a minus sign.)

Intermediate Accounting: Reporting And Analysis
3rd Edition
ISBN:9781337788281
Author:James M. Wahlen, Jefferson P. Jones, Donald Pagach
Publisher:James M. Wahlen, Jefferson P. Jones, Donald Pagach
Chapter16: Retained Earnings And Earnings Per Share
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XYZ's stock price and dividend history are as follows:

 

Year   Beginning-of-Year Price         Dividend Paid at Year-End  
2016 $ 150       $ 4  
2017   180         4  
2018   130         4  
2019   150         4  
                 

 

An investor buys three shares of XYZ at the beginning of 2016, buys another two shares at the beginning of 2017, sells one share at the beginning of 2018, and sells all four remaining shares at the beginning of 2019.

 

a. What are the arithmetic and geometric average time-weighted rates of return for the investor? (Round your year-by-year rates of return and final answer to 2 decimal places. Do not round other calculations.)

 

b. What is the dollar-weighted rate of return? (Hint: Carefully prepare a chart of cash flows for the four dates corresponding to the turns of the year for January 1, 2016, to January 1, 2019. If your calculator cannot calculate internal rate of return, you will have to use trial and error.) (Round your answers to 4 decimal places. Negative amount should be indicated by a minus sign.)

 

 

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