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All of us are very aware that $20 now
does not purchase the same amount
as $20 did in 1999 or 2000,
Inflation is the increase in the amount
of money necessary to purchase the
same amount of a product or service
over time
Effect of Inflation
All of us are very aware that $20 now does not purchase
the same amount as $20 did in 1999 or 2000,
Inflation is the increase in the amount of money
necessary to purchase the same amount of a product or
service over time
Deflation: Opposite of inflation; purchasing power of
money is greater in future than at present; however,
money, credit, jobs are β€˜tighter’
LEARNING OUTCOMES
1. Understand inflation/deflation
2. Calculate PW of cash flows with inflation
3. Calculate FW with inflation considered
4. Calculate AW with inflation considered
Example: Constant Value Dollars
β€’ How much would be required today to
purchase an item that increased in cost by
exactly the inflation rate? The cost 30 years
ago was $1000 and inflation has consistently
averaged 4% per year.
Example
Three Different Rates
Real rate i – Rate at which interest is earned when effects of inflation
are removed; i represents the real increase in purchasing power
Market or inflation-adjusted rate if – Rate that takes inflation into
account. Commonly stated rate everyday
Inflation rate f – Rate of change in value of currency
Relation between three rates is derived using the relation
Example: Market vs. Real Rate
Money in a medium-risk investment makes a guaranteed 8%per
year. Inflation rate has averaged 5.5% per year. What is the real
rate of return on the investment?
Solution: Solve for the real rate i in relation for if
π’Šπ’‡ = π’Š + 𝒇 + (π’Š)(𝒇)
𝑖 =
if βˆ’ f
1 +f
=
0.08 – 0.055
1 + 0.055
= 𝟎. πŸŽπŸπŸ’
Investment pays only 2.4% per year in real terms vs. the stated 8%
PW Calculations with Inflation
Two ways to account for inflation in PW calculations
(1) Convert cash flow into constant-value (CV) dollars and use
regular i
where: CV = future dollars/(1 + f)n= then-current dollars/(1 +f)n
f = inflation rate
(Note: Calculations up to now have assumed constant-value dollars)
(2) Express cash flow infuture (then-current ) dollars and use
inflated interest rate where 𝑖𝑓 = 𝑖 + 𝑓 + (𝑖)(𝑓)
( Note: Inflated interest rate is the market interest rate)
Example: PW with Inflation
A honing machine will have a cost of $25,000 (future cost) six years from
now. Find the PW of the machine, if the real interest rate is 10% per year
and the inflation rate is 5% per year using (a) constant-value dollars, and
(b) future dollars.
Solution:(a) Determine constant-valuedollars and use iin PW equation
𝐂𝐕 = 25,000/(1 + 0.05)6 = $18,655
𝐏𝐖 = 18,655(P/F, 10%, 6)
= $𝟏𝟎, πŸ“πŸ‘πŸŽ
(b) Leave as future dollars and use ifin PW equation
𝐒𝐟 = 0.10 + 0.05 + (0.10)(0.05) = 15.5%
𝐏𝐖 = 25,000(P/F, 15.5%, 6)
= $𝟏𝟎, πŸ“πŸ‘πŸŽ
FW Calculations with Inflation
FW values can have four different interpretations
(1) The actual amount accumulated
β€’ Use if in FW equation 𝐅𝐖 = 𝐏𝐖(𝐅/𝐏, 𝐒𝐟, 𝐧)
(2) The purchasing power in terms of CV dollars of the future amount
β€’ Use if in FW equation and divide by (1 + f)n or use real
iwhere real i= (ifβˆ’ f)/(1 + f) 𝐅𝐖 = 𝐏𝐖(𝐅/𝐏, 𝐒, 𝐧)
(3) The number of future dollars required to have the same purchasing
power as a dollar today with no time value of money considered
β€’ Use f instead of i in F/P factor
𝐅𝐖 = 𝐏𝐖(𝐅/𝐏, 𝐟, 𝐧)
(4) The amount required to maintain the purchasing power of the present
sum and earn a stated real rate of return
β€’ Use if in FW equation 𝐅𝐖 = 𝐏𝐖(𝐅/𝐏, 𝐒𝐟, 𝐧)
Capital Recovery with Inflation
The A/P and A/F factors require the use of if when inflation is considered
If a small company invests $150,000 in a new production line machine,
how much must it receive each year to recover the investment in 5 years?
The real interest rate is 10% and the inflation rate is 4% per year.
Solution: Capital recovery (CR) is the AW value
𝐒𝐟 = 𝟎. 𝟏𝟎 + 𝟎. πŸŽπŸ’ + 𝟎. 𝟏𝟎 𝟎. πŸŽπŸ’ = πŸπŸ’. πŸ’%
𝐂𝐑 = 𝐀𝐖 = πŸπŸ“πŸŽ, 𝟎𝟎𝟎(𝐀/𝐏, πŸπŸ’. πŸ’%, πŸ“)
= $πŸ’πŸ’, πŸπŸπŸ“ 𝐩𝐞𝐫 𝐲𝐞𝐚𝐫
Summary of Important Points
Inflation occurs because value of currency has changed
Inflation reduces purchasing power; one unit buys less goods ort
services
Two ways to account for inflation in economic analyses:
(1) Convert all cash flows into constant-value dollars and use i
(2) Leave cash flows as inflated dollars and use if
During deflation, purchasing power of money is greater in future than at
present
Future worth values can have four different interpretations, requiring
different interest rates to find FW
Use if in calculations involving A/P or A/F when inflation is considered
PW with Inflation
FW with Inflation
AW with Inflation
PW with Inflation
PW with Inflation
FW with Inflation
FW with Inflation
FW with Inflation
AW with Inflation
AW with Inflation

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Effects of Inflation ki ppt h dekh lo bhai

  • 1. All of us are very aware that $20 now does not purchase the same amount as $20 did in 1999 or 2000, Inflation is the increase in the amount of money necessary to purchase the same amount of a product or service over time
  • 2. Effect of Inflation All of us are very aware that $20 now does not purchase the same amount as $20 did in 1999 or 2000, Inflation is the increase in the amount of money necessary to purchase the same amount of a product or service over time Deflation: Opposite of inflation; purchasing power of money is greater in future than at present; however, money, credit, jobs are β€˜tighter’
  • 3. LEARNING OUTCOMES 1. Understand inflation/deflation 2. Calculate PW of cash flows with inflation 3. Calculate FW with inflation considered 4. Calculate AW with inflation considered
  • 4. Example: Constant Value Dollars β€’ How much would be required today to purchase an item that increased in cost by exactly the inflation rate? The cost 30 years ago was $1000 and inflation has consistently averaged 4% per year.
  • 6. Three Different Rates Real rate i – Rate at which interest is earned when effects of inflation are removed; i represents the real increase in purchasing power Market or inflation-adjusted rate if – Rate that takes inflation into account. Commonly stated rate everyday Inflation rate f – Rate of change in value of currency Relation between three rates is derived using the relation
  • 7. Example: Market vs. Real Rate Money in a medium-risk investment makes a guaranteed 8%per year. Inflation rate has averaged 5.5% per year. What is the real rate of return on the investment? Solution: Solve for the real rate i in relation for if π’Šπ’‡ = π’Š + 𝒇 + (π’Š)(𝒇) 𝑖 = if βˆ’ f 1 +f = 0.08 – 0.055 1 + 0.055 = 𝟎. πŸŽπŸπŸ’ Investment pays only 2.4% per year in real terms vs. the stated 8%
  • 8. PW Calculations with Inflation Two ways to account for inflation in PW calculations (1) Convert cash flow into constant-value (CV) dollars and use regular i where: CV = future dollars/(1 + f)n= then-current dollars/(1 +f)n f = inflation rate (Note: Calculations up to now have assumed constant-value dollars) (2) Express cash flow infuture (then-current ) dollars and use inflated interest rate where 𝑖𝑓 = 𝑖 + 𝑓 + (𝑖)(𝑓) ( Note: Inflated interest rate is the market interest rate)
  • 9. Example: PW with Inflation A honing machine will have a cost of $25,000 (future cost) six years from now. Find the PW of the machine, if the real interest rate is 10% per year and the inflation rate is 5% per year using (a) constant-value dollars, and (b) future dollars. Solution:(a) Determine constant-valuedollars and use iin PW equation 𝐂𝐕 = 25,000/(1 + 0.05)6 = $18,655 𝐏𝐖 = 18,655(P/F, 10%, 6) = $𝟏𝟎, πŸ“πŸ‘πŸŽ (b) Leave as future dollars and use ifin PW equation 𝐒𝐟 = 0.10 + 0.05 + (0.10)(0.05) = 15.5% 𝐏𝐖 = 25,000(P/F, 15.5%, 6) = $𝟏𝟎, πŸ“πŸ‘πŸŽ
  • 10. FW Calculations with Inflation FW values can have four different interpretations (1) The actual amount accumulated β€’ Use if in FW equation 𝐅𝐖 = 𝐏𝐖(𝐅/𝐏, 𝐒𝐟, 𝐧) (2) The purchasing power in terms of CV dollars of the future amount β€’ Use if in FW equation and divide by (1 + f)n or use real iwhere real i= (ifβˆ’ f)/(1 + f) 𝐅𝐖 = 𝐏𝐖(𝐅/𝐏, 𝐒, 𝐧) (3) The number of future dollars required to have the same purchasing power as a dollar today with no time value of money considered β€’ Use f instead of i in F/P factor 𝐅𝐖 = 𝐏𝐖(𝐅/𝐏, 𝐟, 𝐧) (4) The amount required to maintain the purchasing power of the present sum and earn a stated real rate of return β€’ Use if in FW equation 𝐅𝐖 = 𝐏𝐖(𝐅/𝐏, 𝐒𝐟, 𝐧)
  • 11. Capital Recovery with Inflation The A/P and A/F factors require the use of if when inflation is considered If a small company invests $150,000 in a new production line machine, how much must it receive each year to recover the investment in 5 years? The real interest rate is 10% and the inflation rate is 4% per year. Solution: Capital recovery (CR) is the AW value 𝐒𝐟 = 𝟎. 𝟏𝟎 + 𝟎. πŸŽπŸ’ + 𝟎. 𝟏𝟎 𝟎. πŸŽπŸ’ = πŸπŸ’. πŸ’% 𝐂𝐑 = 𝐀𝐖 = πŸπŸ“πŸŽ, 𝟎𝟎𝟎(𝐀/𝐏, πŸπŸ’. πŸ’%, πŸ“) = $πŸ’πŸ’, πŸπŸπŸ“ 𝐩𝐞𝐫 𝐲𝐞𝐚𝐫
  • 12. Summary of Important Points Inflation occurs because value of currency has changed Inflation reduces purchasing power; one unit buys less goods ort services Two ways to account for inflation in economic analyses: (1) Convert all cash flows into constant-value dollars and use i (2) Leave cash flows as inflated dollars and use if During deflation, purchasing power of money is greater in future than at present Future worth values can have four different interpretations, requiring different interest rates to find FW Use if in calculations involving A/P or A/F when inflation is considered