Question
Inflation is 2% per year; the interest rate is 8% per year. Your perpetuity project has cash flows that grow at 1% faster than inflation
Inflation is 2% per year; the interest rate is 8% per year.
Your perpetuity project has cash flows that grow at 1% faster than
inflation forever, starting with $20 next year.
1.
What is the real interest rate, both accurate (the "1
+
" ver-
sion) and approximate (the subtraction version)?
2. What is the correct project PV?
3.
What would you get if you grew a perpetuity project of $20
by the real growth rate of 1%, and then discounted it at
the nominal cost of capital?
4.
What would you get if you grew a perpetuity project of $20
by the nominal growth rate of 3%, and then discounted it
at the real cost of capital?
Performing either of the latter two calculations is not an uncom-
mon mistake in practice
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