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ENGG 401 X2 Fundamentals of Engineering Management Spring 2008 Extra Material: Inflation Dave Ludwick Dept. of Mechanical Engineering University of Alberta http://members.shaw.ca/dave_ludwick/. Revisiting Inflation.
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ENGG 401 X2 Fundamentals of Engineering Management Spring 2008 Extra Material: Inflation Dave Ludwick Dept. of Mechanical Engineering University of Alberta http://members.shaw.ca/dave_ludwick/
Revisiting Inflation • Inflation is the concept where as time moves forward, the purchasing power of money decreases. • A dollar tomorrow will buy less than it does today. • In Canada, inflation is often measured by the Consumer Price Index (CPI) • The real interest rate realized by a lender is often given as the difference between the interest rate paid by the borrower (nominal or market interest rate) and inflation (f): • …but this is only an approximation.
Real Interest • A more accurate calculation of real interest rate is:
Inflation Example #1 • You put $1000 into an account with an interest rate of 12%. How much money will you have 5 years from now and what will its purchasing power be if inflation is 5% per year? • Actual money: • Purchasing power:
Actual versus Real Dollars • Actual dollars are the money we ordinarily think of. They are the amount of money in an account, in your wallet, etc. • The first part of the last example is asking about actual dollars. • Real dollars, on the other hand, are a more abstract concept. They are defined relative to an equivalent sum at an earlier point in time. • The second part of the last example is asking about real dollars. • Actual dollars (also called inflated dollars) have their value reduced due to inflation, while real dollars (inflation-free dollars) do not.
Inflation In-Class Problem #1 • Your city spent $2.5 million to build a public facility 50 years ago, and put aside an equal sum at the same time for its eventual replacement. The money was invested in an account earning 8% interest, and inflation has been 6% per year. • Questions: • What are the actual and real dollars of the investment? • What value facility will the city be able to purchase? • What value facility will the city be able to purchase relative to dollars from 50 years ago? • Will the city be able to purchase an equivalent facility today and still put aside enough money to replace it in the future?
Inflation In-Class Problem #2 • On the birth of your first child, you decide to put aside money for her first year’s tuition to the UofA. Tuition is currently $5400 per year, and the provincial government just passed legislation mandating that tuition increases are tied to inflation (projected to be 3.5%). • What lump sum do you need to invest today in a GIC paying out 5% interest to cover her first year of tuition 18 years from now? • What if you found a way to put a monthly sum into her account which paid 2%. What monthly payment would you need to make?