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CFA Level I · CFA Level I Exam · Introduction to Digital Assets

An analyst uses a network-based valuation for a cryptocurrency, in which value is related to the number of users and Metcalfe's law. If the number of active users rises from 2 million to 6 million, the network value implied by Metcalfe's law is most likely to rise by a factor closest to:

The implied network value rises by a factor of about 9. Metcalfe's law makes value proportional to the square of users, and users triple from 2 million to 6 million, so value rises by three squared, or nine times.

  1. A3
  2. B6
  3. C9Correct

Explanation

Metcalfe's law says network value is proportional to the square of the number of users. Users triple (6/2 = 3), so value rises by 3^2 = 9. Choosing 3 wrongly assumes linear scaling.

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