You are trying to estimate the real interest rate for the mining
industry products and proceed as follows. You consider buying coal
and gold in equal proportion, spending $1000 on coal, and another
$1000 on gold in today's dollars. In 5 years from now, the selling
values in actual dollars are predicted to be $1286 (coal) and $1229
(gold). Inflation (for coal) is 1.6% per year, for the next 5
years. For gold, the gold price index is predicted to rise in the
next 5 years from the current 411 points to 429 points. Compute the
estimated real interest rate, as a number, with 0.001 precision.
Hint: Calculate real interest rate for the cash flow: 1) invest now
$1000+$1000; 2) sell in 8 years coal and gold and obtain
appropriate cash flow.