Respuesta :

Answer:

20.944%

Explanation:

Complete question is: "The average return for large-cap domestic stock funds over the three years (2009-2011) was 14.8%. Assume the three-year returns were normally distributed across funds with a standard deviation of 4.8%. How big does the return have to be to put a domestic stock fund in the top 10% for the three-year period (to 2 decimals)?"

Top 10% would be 90th percentile.

Z at 0.9 from standard normal table = 1.28

==>> 1.28*4.8% + 14.8%

==>> 6.144% + 14.8%

==>> 20.944%

According to the equation, the return would be 20.944% that have to be to put a domestic stock fund in the top for the three-year period.

How big does the return have?

Given Information:

  • standard deviation=4.8%
  • average return=14.8%

Top 10% would be 90th percentile.

Z at 0.9 from standard normal table = 1.28

Return= 1.28*4.8% + 14.8%

Return=6.144% + 14.8%

Return=20.944%

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