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. a) What is the real interest rate, both accurate (the 1+ version) and approximate (the subtraction version)? b) What is the correct project PV ? c) 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? d) 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 uncommon mistake in practice. A: a) 5.88%. b) The correct PV $400 c) You will get the incorrect value of $285.71. d) You will get the incorrect value of $694.44.
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