Question

In: Finance

You've recorded the following prices and dividend payments for a stock: Quarter Stock price (end of...

You've recorded the following prices and dividend payments for a stock:

Quarter Stock price
(end of quarter)
Dividend per share
(end of quarter)
Shares bought or sold
(after dividend payment)
Shares held
(before div. payment)
0 61.32 4 0
1 99.25 3.65 1 4
2 83.54 3.65 0 5
3 111.72 3.65 -2 5
4 79.01 3.65 -3 3

What was the dollar-weighted (money-weighted) rate of return?

Solutions

Expert Solution

Quarter Stock price
(end of quarter)
Dividend per share
(end of quarter)
Shares bought or sold
(after dividend payment)
Shares held
(before div. payment)
Cash flows formula remarks
0 61.32 4 0 -245.28 [-61.32*4]
1 99.25 3.65 1 4 -84.65 (-99.25*1)+(3.65*4) [ bought 1 ahsre at 99.25+ received dividend on 4 hares]
2 83.54 3.65 0 5 18.25 [3.65*5] [ Received dividend on 5 hares]
3 111.72 3.65 -2 5 241.69 (111.72*2)+(3.65*5)

[ sold 2 shares at 111.72 each + received dividend on 5 shares, because ahsres has been sold after receiving the dividend]

4 79.01 3.65 -3 3 247.98 (79.01*3)+(3.65*3)

[ sold 3 shares at 79.01 each + received dividend on 3 shares, because shares has been sold after receiving the dividend]

Dollar weighted rate of return is the rate at which ,

Discounted PV of the cash inflows+ Discounted PV of the cash out flow = 0

It is also known as the IRR or internal rate of return.

IRR can be calculated in exxcel by IRR function

here IRR or Money weighted rate of return = 14.5%


Related Solutions

1. You've recorded the following prices and dividend payments for a stock: Month Stock price Dividend...
1. You've recorded the following prices and dividend payments for a stock: Month Stock price Dividend 1 161.38 2 161.54 1.32 3 159.96 4 164.61 5 164.8 1.32 Part 1 What was the arithmetic average monthly return? Part 2 What was the geometric average return per month? Part 3 What was the total return over the entire period? 2. Which statements are correct? The geometric average return _____. Check all that apply: is better for forecasting returns over many periods...
A stock has had the following year-end prices and dividends:    Year Price Dividend 0 $...
A stock has had the following year-end prices and dividends:    Year Price Dividend 0 $ 24.75 — 1 26.93 $ 0.15 2 27.93 0.24 3 26.43 0.86 4 28.77 0.18 5 31.88 0.34    What are the arithmetic and geometric returns for the stock? (Round your answer to 2 decimal places. Omit the "%" sign in your response.)      Arithmetic returns %   Geometric returns %
Obtuse Ltd has recorded the following end-of-year share prices and paid dividends: Year Price Dividend 2010...
Obtuse Ltd has recorded the following end-of-year share prices and paid dividends: Year Price Dividend 2010 $1.20 $0.00 2011 $1.35 $0.05 2012 $1.12 $0.00 2013 $1.47 $0.00 2014 $1.71 $0.05 2015 $1.69 $0.00 2016 $1.82 $0.06 2017 $1.87 $0.10 Calculate the yearly returns for this share. Calculate the standard deviation of returns for the company's shares. This question has been answered but I want to know how he arrived at the result of standard deviation (15.58%). Thanks
A stock has had the following year-end prices and dividends: Year Price Dividend 1 $ 64.23...
A stock has had the following year-end prices and dividends: Year Price Dividend 1 $ 64.23 — 2 71.10 $ .58 3 76.90 .63 4 63.17 .69 5 72.91 .78 6 78.75 .85 What are the arithmetic and geometric returns for the stock? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)    Arithmetic average return % Geometric average return %
A stock has had the following year-end prices and dividends: Year Price Dividend 0 $ 14.25...
A stock has had the following year-end prices and dividends: Year Price Dividend 0 $ 14.25 — 1 16.43 $ 0.15 2 17.43 0.22 3 15.93 0.27 4 18.27 0.28 5 21.38 0.32 What are the arithmetic and geometric returns for the stock?
A stock has had the following year-end prices and dividends: Year Price Dividend 0 $14.50 -------...
A stock has had the following year-end prices and dividends: Year Price Dividend 0 $14.50 ------- 1 16.68 .15 2 17.68 .36 3 16.18 .38 4 18.52 .39 5 21.63 .46 What are the arithmetic and geometric returns for the stock? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)
A stock has had the following year-end prices and dividends: Year Price Dividend 0 $ 14...
A stock has had the following year-end prices and dividends: Year Price Dividend 0 $ 14 — 1 16.18 $ 0.15 2 17.18 0.34 3 15.68 0.36 4 18.02 0.37 5 21.13 0.44 What are the arithmetic and geometric returns for the stock? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
Note: If not otherwise stated, assume that: • Firms make annual dividend payments • Stock prices...
Note: If not otherwise stated, assume that: • Firms make annual dividend payments • Stock prices are the present value of all future dividends and don’t include dividends that were just paid. Micro Inc. (MI) just paid a dividend of $2.00/share. MI has a new technology that is expected to go on the market this year, and their dividend is expected to grow at 10% per year for the next five years (i.e., the growth rate applies only to the...
Note: If not otherwise stated, assume that: • Firms make annual dividend payments • Stock prices...
Note: If not otherwise stated, assume that: • Firms make annual dividend payments • Stock prices are the present value of all future dividends and don’t include dividends that were just paid. Investors estimate that Healthy Hub Food’s (HHF) existing business generates $2.5 million in annual earnings every year for the foreseeable future (i.e., forever). HHF has 2 million shares outstanding and its required rate of return is 15% (EAR). a) What would be the value of a single HHF...
Note: If not otherwise stated, assume that: • Firms make annual dividend payments • Stock prices...
Note: If not otherwise stated, assume that: • Firms make annual dividend payments • Stock prices are the present value of all future dividends and don’t include dividends that were just paid. Analysts expect that Cotton Corp. (CC) will report earnings of $5 million one year from today. CC’s policy is to pay out 60% of its earnings in dividends (it just paid its dividends for this year). CC’s return on equity (ROE) is 9%, and its required rate of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT