Re: Economic growth question
I believe that Pakistan current GDP (for the year 2005-2006) is 135 to 140 billion dollars (and per capita income is around 847 dollars).
Regardless, the figures you gave are incomplete to work out the figure you asked for year 2020 (14 years from now).
Thus to calculate it, I will assume my own figures while keeping your real average annual growth rate of 5 percent.
Let say Pakistan average inflation rate for next 14 years is 7 percent and exchange rate stays same, that is Rs 60 to a dollar in 2020.
Thus, using above figures, Pakistan nominal GDP growth would be
Multiply 1.07 by 1.05 = 1.1235. That is 12.35 percent nominal growth a year in rupees.
Now if average growth and average inflation for next 14 years stays same then economy would grow on average by 12.35 percent every year.
Thus, overall nominal growth of 14 years would be 1.1235 to the power of 14 = 5.105
Present GDP (according to you is) 120 billion dollars. Taking exchange rate as Rs 60 to a dollar then 120 billion dollars would be: 120 billion multiply by 60 = 7200 billion rupees
(Pakistan GDP is work out in Pakistani Rupees that is converted to dollars depending on the average exchange rate over the financial year).
After 14 years (by June 2020), this GDP in rupees would be 7200 multiply by 5.105 = 36756 billion rupees.
At Rs 60 to one dollar, that GDP would be Rs 36756 billions divided by 60 = 612 billion dollars (GDP for year 2020).
[At average real growth rate of 6 percent (with all other figures samw), GDP in 2020 would be around 700 billion dollars.
At 6.5 percent real growth rate, GDP in 2020 would be 747 billion dollars].
For per capita income, one has to have population growth rate too. At present, it is around 1.9 percent. Suppose if that stays constant then Pakistan Population would grow in 14 years by:
1.019 to the power of 14 = 1.30148 or 30.15 percent. (Present population is 160 millions thus population would be 208 millions by 2020).
So, dividing 612 billion by 208 million, we would have per capita income (in nominal dollar) of 2942 dollars.
Now as you can see, to get true figure in nominal dollars, along with average real growth rate, we need average inflation rate and exchange rate in 2020 (the year you are looking for).
[Just for interest, at present, real per capita income of USA is around 10 times of Pakistan, though nominal per capita income of USA is around 50 times more then Pakistan. That means real purchasing power of one dollar in USA is similar to real purchasing power of around 6 rupees in Pakistan (that is average).
That means, if Pakistan real growth stays at 8 percent continuously and USA real growth stays at 3 percent continuously while population growth stays same in both countries continuously, than after 50 years, both country would have similar per capita income. (Though I think that at real 8 percent growth, it would need Pakistan around 65 to 70 years to get to that level).
Well, when corrupt politicians and bureaucracy are lurking behind the screen all the time for chance to plunder Pakistan, it seems a wishful thought that may never materialize. Over the last 3 years, Pakistan average real growth was around 7 to 7.5 percent]