Using the five years of returns from 61, assume that one of the five years during the second half of the decade, 20152019, shows a loss of 10 percent. What would the geometric mean of the remaining four years have to be for the decade as a whole to average the 10 percent return for the S&P 500 Index?

answer the question up please.

C6-1. First, convert the TRs to Return Relatives: 1.1506, .901, 1.161, .803, and 1.107.

Multiply these RRs together to obtain 1.0699, the cumulative wealth for the first 5 years.

A geometric mean of 10% for the decade results in a cumulative wealth of (1.10)¹⁰ = 2.594. Divide 2.594 by 1.0699 to obtain 2.424. The fifth root of 2.424 is 19.37%.

Thus, the geometric mean for the last 5 years must be 19.37% if the entire decade is to have a geometric mean of 10%.