Inflation Purchasing Power
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1 Inflation Purchasing Power Lecture 9 Robb T. Koether Hampden-Sydney College Mon, Sep 12, 2016 Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
2 1 Decrease in Purchasing Power 2 Financial Planning 3 Assignment Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
3 Outline 1 Decrease in Purchasing Power 2 Financial Planning 3 Assignment Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
4 Definitions Definition (Inflation Rate) The inflation rate is the annual rate at which prices increase. Equivalently, it is the rate at which money loses its purchasing power. Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
5 Purchasing Power Definition (Purchasing Power of $1.00) The purchasing power of $1.00 today vs. a time in the past is the past price of that item divided the current price of that same item. That is, Purchasing power of $1.00 = Purchasing power of $1.00 = P F = past price current price. = P P(1 + i) t 1 (1 + i) t = (1 + i) t. Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
6 Purchasing Power Suppose that 25 years ago a standard bag of groceries cost $20 and that today the same bag of groceries costs $50. Then the purchasing power of $1.00 (relative to a bag of groceries) is = 0.40 = 40. Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
7 Example Example (Inflation) Since 1965, the inflation rate has averaged 4.09%. Assuming a constant 4.09% per year, what was the current purchasing power of a 1995 dollar in terms of the 1965 dollar? Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
8 Example Example (Inflation) Since 1965, the inflation rate has averaged 4.09%. Assuming a constant 4.09% per year, what was the current purchasing power of a 1995 dollar in terms of the 1965 dollar? What is the purchasing power of a 1965 dollar today? Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
9 Example Example (Inflation) The Fed aims to keep inflation at 2% per year. If they are successful, then what will be the purchasing power of a dollar 10 years from now? Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
10 Example Example (Inflation) The Fed aims to keep inflation at 2% per year. If they are successful, then what will be the purchasing power of a dollar 10 years from now? What is the purchasing power of a dollar 50 years from now? Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
11 Outline 1 Decrease in Purchasing Power 2 Financial Planning 3 Assignment Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
12 What monthly income would you like to have upon retirement? Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
13 What monthly income would you like to have upon retirement? $5,000 per month would be nice. Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
14 What monthly income would you like to have upon retirement? $5,000 per month would be nice. If your investments earn 6% APR for 45 years, how much must you invest per month in order withdraw $5,000 a month for 20 years? Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
15 What monthly income would you like to have upon retirement? $5,000 per month would be nice. If your investments earn 6% APR for 45 years, how much must you invest per month in order withdraw $5,000 a month for 20 years? Now factor in a 2% inflation rate. Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
16 What monthly income would you like to have upon retirement? $5,000 per month would be nice. If your investments earn 6% APR for 45 years, how much must you invest per month in order withdraw $5,000 a month for 20 years? Now factor in a 2% inflation rate. Now assume that the deposits and withdrawals keep pace with inflation. Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
17 Outline 1 Decrease in Purchasing Power 2 Financial Planning 3 Assignment Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
18 Assignment Assignment See handout. Robb T. Koether (Hampden-Sydney College) Inflation Purchasing Power Mon, Sep 12, / 12
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