Question

using julia

Problem 1.2 Create a variable time that starts in 1900 with 5-year increments and goes to 2015: 1900, 1905, 1910, ... 2015. Suppose that GDP per capita was equal to 3,000 in 1900 and subsequently grew at 1% per year. Plot the evolution of GDP over time by using a for-loop to calculate its value at every date: 1905, 1910, 1915 etc. Show, in the same plot, what the output trajectory would have been like if output grew at 1.5% and 2% per year. (Hint: if a variables grows at a rate of g per year, it gipws at a rate of (1+g)' - 1 in t years.) Then, in another graph, plot the evolution of the natural logarithm of GDP per capita against time.

Answer 1

For one year there would be a growth of 1% then for 5 years it would be a 5% by using above formula.

GDP@1% every ye GDP@1.5% every y GDP@2% every ye YEAR ar ear ar 1900 3000 3000 3000 3300 1905 3150 3225 1910 3307.5 3466.9 3630.0 3726.9 1915 3472.9 3993.0 1920 3646.5 4006.4 4392.3 4306.9 1925 3828.8 4831.5 1930 4020.3 4629.9 5314.7 4977.1 5846.2 1935 4221.3 6430.8 1940 4432.4 5350.4 7073.8 1945 4654.0 5751.7 1950 4886.7 6183.1 7781.2 1955 6646.8 5131.0 8559.4 9415 3 1960 7145.3 5387.6 1965 5656.9 7681.2 10356.8 5939.8 1970 11392.5 8257 3 1975 6236.8 8876.6 12531.7 9542.4 1980 6548.6 13784.9 1985 6876.1 10258.1 15163.4 1990 7219.9 11027.4 16679.8 1995 7580.9 11854.5 18347.7 7959.9 2000 12743.6 20182.5 2005 8357.9 13699.3 22200.7 2010 8775.8 14726.8 24420.8 2015 9214.6 15831.3 26862.9