Over the next 100 years, real GDP per capita in Groland is expected to grow at
an average annual rate of \(2.0 \%\). In Sloland, however, growth is expected to
be somewhat slower, at an average annual growth rate of \(1.5 \%\) If both
countries have a real GDP per capita today of \(\$ 20,000,\) how will their real
GDP per capita differ in 100 years? [Hint: A country that has a real GDP today
of \(\$ x\) and grows at \(y \%\) per year will achieve a real GDP of \(\$ x\)
\(\times(1+(y / 100))^{2}\) in \(z\) years. We assume that $\left.0 \leq y<10
.\right]$