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IEN255 Chapter 11 - Inflation
Inflation vs Deflation Inflation - a loss in purchasing power of money over time Deflation - prices decrease of time Measuring inflation - Consumer Price Index (CPI) Survey of Current Business - for industrial products
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Average inflation rate (f)
Step 1 - simple compounding $100( )( ) = $112.32 Step 2 - equiv eqn $100(1 + f)2 = $112.32 solve for f
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General inflation rate vs Specific
General Inflation Rate ( ) - average inflation rate calculated based on the CPI Specific Inflation Rate (fj) - inflation rate calculated based on a specific segment j of the economy. (if just one item, drop the subscript j) equations 11.1 and 11.2 with defs
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Example 11.2
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Actual vs Constant Dollars
Actual (current) dollars - estimates of future cash flows for year n that take into account any anticipated changed in amount due to inflation Constant (real) dollars - constant purchasing power independent of time (adjusted using an accepted general inflation rate) To convert use 11.4 where A’n = constant dollar expression for the cash flow where An = actual dollar expression for the cash flow
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Example 11.3
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Figure 11.1
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Conversion from Actual to Constant Dollars
(11.5) example 11.4
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Equivalence calculations under inflation
Two Types Market Interest Rate (i) (typically inflation-adjusted MARR) Inflation-free Interest Rate (i’)- real interest rate (prev chaps) Case 1: All in constant dollars Case 2: All in actual dollars Case 3: Mix (convert all to either case 1 or 2)
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Constant Dollar Analysis
Example 11.5
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Actual Dollar Analysis
Deflation method copy page 573
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Actual Dollar Analysis cont
Adjusted discount method example 11.7 figure 11.3
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Mixed Dollar Analysis Page 577 and 578
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Effects of Inflation on Project Cash Flows
Depreciation Expenses under Inflation page 581
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Multiple Inflation Rates
Table 11.3
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Multiple Inflation Rates
Solution on page 583
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Effects of Borrowed Funds under Inflation
Solution on page 584
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Effects of Borrowed Funds under Inflation
Page 585
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Rate of Return Analysis Under Inflation
Table 11.5
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Rate of Return Analysis Under Inflation
RoR without inflation PW(i’) = -30,000+12,700(P/F,i’,1) + 14,033 (P/F,i’,2) + 10,478 (P/F,i’,3) + 9,589 (P/F,i’,4) Solve for IRR’ = i’* = 21.88% RoR under inflation PW(i’) = -30,000+12,336(P/F,i’,1) + 13,108 (P/F,i’,2) + 10,036 (P/F,i’,3) + 9,307 (P/F,i’,4) Solve for IRR’ = i’* = 19.40%
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Rate of Return Analysis Under Inflation
put table 11.5 and 11.6 on the same page next to each other (shrink if necessary)
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Effect of Inflation on Working Capital
Figure 11.6
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Table 11.7
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IEN255 Summer’99 Chapter 10,11,13 HW#4
Homework Assignment: Chapter 10 #’s 10.4; 10.6; 10.24 Chapter 11 #’s 11.1; 11.6; 11.13 Chapter 13 #’s 13.9 Due together (Tues July 27)
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