To calculate the real dollar rate of return, we need to adjust for inflation using the Consumer Price Index (CPI) for the year.
Assuming that the CPI increased by 2 percent over the year, the inflation-adjusted price of the painting at the end of the year would be:
$150,000 / 1.02 = $147,058.82
Therefore, the real dollar rate of return on the painting is:
($147,058.82 - $100,000) / $100,000 x 100% = 47.06%
Rounded to one decimal place, the real rate of return is 47.1%.