The answer for the question below is 4.45%. Could anyone please explain the highlighted part for me? Alpha is 1/3.

2. Taiwan Taiwan, one of the 4 original East-Asian Tigers, has been one of the most successful economies in the world over the last 50 years. Let's analyze the sources of this success. Consider the following data: Year GDP Per Capita Population Capital Labor Education 1960 2,397.01 10.668 25,964.18 3.24 3.71 2014 41,522.88 23.434 3,412,746 11.17 11.09 GDP per capita is expressed in 2011 PPP-adjusted US dollars. Population and employment are in millions of people. Capital is in millions of US dollars. Education is the average number of years of school completed among people older than 15. a. GDP per Worker Growth Compute the (average continuously compounded) growth rate of GDP per worker. (10 points) Answer - For the case of this problem about the growth rate of output per worker in Taiwan, we need to first find output per worker from output per capita, population and labor using the following formula YN So 10.668 L 1960 = 2, 397.01 3.24 = 7, 892.38 1960 41, 522.88 23.434 = 87, 112.55 2014 11.17 With these numbers in mind, we can calculate the average continuously compounded growth rate of output per worker for Taiwan as In (87, 112.55) - In (7, 892.38) JY/L = = 4.45% 2014 - 1960