A portfolio of non-dividend-paying stocks earned a geometric mean return of 5% between January 1, 2010, and December 31, 2016. The arithmetic mean return for the same period was 6%. If the market value of the portfolio at the beginning of 2010 was $100,000,what was the market value of the portfolio at the end of 2016

Respuesta :

Answer: $140710

Explanation:

From the question, we are informed that the portfolio of non-dividend-paying stocks earned a geometric mean return of 5% between January 1, 2010, and December 31, 2016 and that the arithmetic mean return for the same period was 6%.

If the market value of the portfolio at the beginning of 2010 was $100,000, the market value of the portfolio at the end of 2016 will be calculated as:

= $100,000 × (1 + 5%)^7

= $140,710