A shady broker offers a dubious investment opportunity. In week 0, he sells a $11,000 note promising to repay $11,500 in one week. In week 1, he sells two such notes and uses to proceeds to pay off the week 0 investor. In week 2, he sells 4 notes and pays off week one investors. Each week, he sells twice many notes as the week before and uses the proceeds to pay off last week’s investors. An investment scam of this sort is known as a Ponzi scheme. a) How many notes did the broker sell in week 10? b) What was the total number of notes sold by week 10? c) How much money was collected by week 10? d) How much money was paid out by week 10? e) In week 10, the broker took his profits and left the country. How much money was the loss of the investors?

Practical Management Science
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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A shady broker offers a dubious investment opportunity. In week 0, he sells a $11,000 note promising to repay $11,500 in one week. In week 1, he sells two such notes and uses to proceeds to pay off the week 0 investor. In week 2, he sells 4 notes and pays off week one investors. Each week, he sells twice many notes as the week before and uses the proceeds to pay off last week’s investors. An investment scam of this sort is known as a Ponzi scheme.

  1. a) How many notes did the broker sell in week 10?
    b) What was the total number of notes sold by week 10?
  2. c) How much money was collected by week 10?
  3. d) How much money was paid out by week 10?
  4. e) In week 10, the broker took his profits and left the country. How much money was the loss of the investors?
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