Although investing all at once works best when stock prices are rising, dollar-cost averaging can be a good way to take advantage of a fluctuating market. Dollar-cost averaging is an investment strategy designed to reduce volatility in which securities are purchased in fixed dollar amounts at regular intervals regardless of what direction the market is moving. This strategy is also called the constant dollar plan. sideri ng a b uneth etisal 1 2 00 inuestmo nt in Your a heice io

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Although investing all at once works best when stock prices are rising, dollar-cost averaging can be a good way to take advantage
of a fluctuating market. Dollar-cost averaging is an investment strategy designed to reduce volatility in which securities are
purchased in fixed dollar amounts at regular intervals regardless of what direction the market is moving. This strategy is also
called the constant dollar plan.
You are considering a hypothetical $1,200 investment in a media company's stock. Your choice is to invest the money all at once
or dollar-cost average at the rate of $100 per month for one year. Assume that the company allows you to purchase "fractional"
shares of its stock.
(a) If you invested all of the money in January and bought the shares for $12 each, how many shares could you buy?
shares
(b) From the following chart of share prices, calculate the number of shares that would be purchased each month using dollar-
cost averaging and the total shares for the year. Round to the nearest tenth.
Amount
Cost per
Shares
Amount
Cost per
Shares
Month
Month
Invested
Share
Purchased
Invested
Share
Purchased
January
$100
$12.00
July
$100
$13.40
February
100
11.65
August
100
12.60
March
100
10.70
September
100
11.90
April
100
9.75
October
100
12.50
May
100
11.25
November
100
11.35
June
100
12.15
December
100
12.15
total shares =
(c) What is the average price you pay per share if you purchase them all in January?
(d) What is the average price you pay per share if you purchase them using dollar-cost averaging? (Round your answer to the
nearest cent.)
Transcribed Image Text:Although investing all at once works best when stock prices are rising, dollar-cost averaging can be a good way to take advantage of a fluctuating market. Dollar-cost averaging is an investment strategy designed to reduce volatility in which securities are purchased in fixed dollar amounts at regular intervals regardless of what direction the market is moving. This strategy is also called the constant dollar plan. You are considering a hypothetical $1,200 investment in a media company's stock. Your choice is to invest the money all at once or dollar-cost average at the rate of $100 per month for one year. Assume that the company allows you to purchase "fractional" shares of its stock. (a) If you invested all of the money in January and bought the shares for $12 each, how many shares could you buy? shares (b) From the following chart of share prices, calculate the number of shares that would be purchased each month using dollar- cost averaging and the total shares for the year. Round to the nearest tenth. Amount Cost per Shares Amount Cost per Shares Month Month Invested Share Purchased Invested Share Purchased January $100 $12.00 July $100 $13.40 February 100 11.65 August 100 12.60 March 100 10.70 September 100 11.90 April 100 9.75 October 100 12.50 May 100 11.25 November 100 11.35 June 100 12.15 December 100 12.15 total shares = (c) What is the average price you pay per share if you purchase them all in January? (d) What is the average price you pay per share if you purchase them using dollar-cost averaging? (Round your answer to the nearest cent.)
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