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Capital Markets
Savings, Investment, and Interest
Rates
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Some Useful Terminology
• Savings: Current income which is deferred for future
consumption (i.e., not spent)
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Some Useful Terminology
• Savings: Current income which is deferred for future
consumption (i.e., not spent)
National Income: $8,512.3 B
+ Dividend Payments, Interest, Gov’t Transfers, etc.: $582.5B
- Taxes: $1,077.2 B
= Personal Disposable Income: $8,017.6 B
- Personal Consumption Expenditures: $7,727.2 B
= Personal Savings: $290.4B (3.5% of Personal Income)
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Some Useful Terminology
• Savings: Current income which is deferred for future
consumption (i.e., not spent)
National Income: $8,512.3 B
+ Dividend Payments, Interest, Gov’t Transfers, etc.: $582.5B
- Taxes: $1,077.2 B
= Personal Disposable Income: $8,017.6 B
- Personal Consumption Expenditures: $7,727.2 B
= Personal Savings: $290.4B (3.5% of Personal Income)
• Note that there are many ways to save (savings account,
bonds, stocks, etc.)
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Some Useful Terminology
• Investment: The purchase of new capital goods.
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Some Useful Terminology
• Investment: The purchase of new capital goods.
– Gross Investment: Total purchases of new capital goods
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Some Useful Terminology
• Investment: The purchase of new capital goods.
– Gross Investment: Total purchases of new capital goods
• Gross Private Investment: $1,611.2 B
• Gross Public Investment: $355 B
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Some Useful Terminology
• Investment: The purchase of new capital goods.
– Gross Investment: Total purchases of new capital goods
• Gross Private Investment: $1,611.2 B
• Gross Public Investment: $355 B
– Net Investment: Gross investment less depreciation of existing
capital (capital consumption)
• Net Private Investment: $500 B
• Net Public Investment: $250 B
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NIPA Accounts
• Recall, the accounting identity in the NIPA accounts:
GDP = C + I + G + NX
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NIPA Accounts
• Recall, the accounting identity in the NIPA accounts:
GDP = C + I + G + NX
• GDP = Gross Private Savings + Taxes + C
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NIPA Accounts
• Recall, the accounting identity in the NIPA accounts:
GDP = C + I + G + NX
• GDP = Gross Private Savings + Taxes + C
Gross Private Savings = I + (G-T) + NX
I (Public + Private) : $1,966 B
+ (G-T): $106B
+ NX: - $559B
Gross Private Savings: $1,513B (16% of GDP)
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NIPA Accounts
• Recall, the accounting identity in the NIPA accounts:
GDP = C + I + G + NX
• GDP = Gross Savings + Taxes + C
I + (G-T) + NX = Gross Private Savings
I (Public + Private) : $1,966 B
+ (G-T): $123B
+ NX: - $487B
Gross Private Savings: $1,513B
Personal Savings ($290B) = Gross Private Saving ($1,513B) - Depreciation
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Interest Rates
• What is an interest rate?
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Interest Rates
• What is an interest rate?
– The interest rate is the relative price of current
spending in terms of foregone future income.
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Interest Rates
• What is an interest rate?
– The interest rate is the relative price of current
spending in terms of foregone future income.
– Example: if the interest rate is 5% (Annual),
you must give up $1.05 worth of next year’s
income in order to increase this year’s spending
by $1.
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Interest Rates:1987-2003
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1/1/89
1/1/91
1/1/93
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1/1/97
1/1/99
1/1/01
1/1/03
3 Mo. T-Bill
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Interest Rates:1987-2003
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1/1/99
1/1/01
1/1/03
3 Mo. T-Bill
10 Year T-Note
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The Yield Curve
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Yield Curves
• What determines the shape of the yield
curve?
– Segmented Markets Hypothesis
– Expectations Hypothesis
– Preferred Habitat Hypothesis
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Interest Rates:1987-2003
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1/1/89
1/1/91
1/1/93
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1/1/01
1/1/03
3 Mo. T-Bill
10 Year T-Note
AAA Corp.
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Interest Rates
• Treasury Securities (1 - 5%)
• Agency Securities (1 - 5%)
• Municipal Bonds (3 – 5%)
• Corporate Bonds (6 – 11%)
• Preferred Stock (5 – 15%)
• Asset Backed Securities (4 – 5%)
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Interest Rates
• Treasury Securities (1 - 5%)
• Agency Securities (1 - 5%)
• Municipal Bonds (3 – 5%)
• Corporate Bonds (6 – 11%)
• Preferred Stock (5 – 15%)
• Asset Backed Securities (4 – 5%)
• “Risky” Rate = Risk Free Rate + Risk Premium
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Real vs. Nominal Interest Rates
• As with any other variable, the nominal interest rate is in
terms of dollars. (the cost of a current dollar in terms of
forgone future dollars). To calculate the real interest rate,
we need to correct for the purchasing power of those
dollars.
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Real vs. Nominal Interest Rates
• As with any other variable, the nominal interest rate is in
terms of dollars. (the cost of a current dollar in terms of
forgone future dollars). To calculate the real interest rate,
we need to correct for the purchasing power of those
dollars.
• Exact: (1+i ) = (1+ r )*(1 + inflation rate)
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Real vs. Nominal Interest Rates
• As with any other variable, the nominal interest rate is in
terms of dollars. (the cost of a current dollar in terms of
forgone future dollars). To calculate the real interest rate,
we need to correct for the purchasing power of those
dollars.
• Exact: (1+i ) = (1+ r )*(1 + inflation rate)
• Approximation: i = r + inflation rate
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Real/Nominal Interest Rates
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1/1/19651/1/19681/1/19711/1/19741/1/19771/1/19801/1/19831/1/19861/1/19891/1/19921/1/19951/1/19981/1/2001
Inflation
Real
Nominal
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Real vs. Nominal Interest Rates
• As with any other variable, the nominal interest rate is in
terms of dollars. (the cost of a current dollar in terms of
forgone future dollars). To calculate the real interest rate,
we need to correct for the purchasing power of those
dollars.
• Exact: (1+i ) = (1+ r )*(1 + inflation rate)
• Approximation: i = r + inflation rate
• How can real interest rates be negative?
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Real vs. Nominal Interest Rates
• As with any other variable, the nominal interest rate is in
terms of dollars. (the cost of a current dollar in terms of
forgone future dollars). To calculate the real interest rate,
we need to correct for the purchasing power of those
dollars.
• Exact: (1+i ) = (1+ r )*(1 + inflation rate)
• Approximation: i = r + inflation rate
• How can real interest rates be negative?
– Ex ante vs. ex post
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Present Value
• With a positive interest rate, income received in the future
is less valuable that income received immediately.
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Present Value
• With a positive interest rate, income received in the future
is less valuable that income received immediately.
• At a 5% annual interest rate, $1.05 to be received in one
year is equivalent to $1 to be received today (because $1
today could be worth $1.05)
$1(1.05) = $1.05
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Present Value
• With a positive interest rate, income received in the future
is less valuable that income received immediately.
• At a 5% annual interest rate, $1.05 to be received in one
year is equivalent to $1 to be received today (because $1
today could be worth $1.05)
$1(1.05) = $1.05
• Therefore, the present value of $1.05 to be paid in one year
(if the annual interest rate is 5%) is $1.
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Present Value
• With a positive interest rate, income received in the future
is less valuable that income received immediately.
• At a 5% annual interest rate, $1.05 to be received in one
year is equivalent to $1 to be received today (because $1
today could be worth $1.05)
$1(1.05) = $1.05
• Therefore, the present value of $1.05 to be paid in one year
(if the annual interest rate is 5%) is $1.
• In general, the PV of $X to be paid in N years is equal to
PV = $X/(1+i)^N
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Income vs. Wealth
• Your wealth is defined and the present value of your
lifetime income.
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Income vs. Wealth
• Your wealth is defined and the present value of your
lifetime income.
• For example, suppose you expect your annual income to
be $50,000 per year for the rest of your life. If the annual
interest rate is 3%:
Wealth = $50,000 + $50,000/(1.03) + $50,000/(1.03)^2 + ……
= $50,000/(.03) = $1,666,666 (Approx)
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Household Savings
• Without an active capital markets,
household consumption is restricted to
equal current income (that is, C=Y)
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Household Savings
• Without an active capital markets,
household consumption is restricted to
equal current income (that is, C=Y)
• With capital markets, the present value of
lifetime consumption must equal the present
value of lifetime income (assuming all debts
are eventually repaid)
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A two period example
• Suppose that your current income is equal
to $50,000 and you anticipate next year’s
income to be $60,000. The current interest
rate is 5%.
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A two period example
• Suppose that your current income is equal
to $50,000 and you anticipate next year’s
income to be $60,000. The current interest
rate is 5%.
• In the absence of capital markets, your
consumption stream would be $50,000 this
year and $60,000 next year.
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Consumption Possibilities
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Current Consumption (000s)
FutureConsumption(000s)
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Borrowing to increase current consumption
• To increase your current consumption, you
could take out a loan. Your current
consumption would now be
C = $50,000 + Loan
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Borrowing to increase current consumption
• To increase your current consumption, you could
take out a loan. Your current consumption would
now be
C = $50,000 + Loan
• However, you must repay your loan next year.
This implies that
C’= $60,000 – (1.05)Loan
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Borrowing to increase current consumption
• To increase your current consumption, you could take out
a loan. Your current consumption would now be
C = $50,000 + Loan
• However, you repay your loan next year. This implies that
C’= $60,000 – (1.05)Loan
• For example, if you take out a $10,000 loan, your current
consumption would be $60,000, while your future income
would be $60,000 - $10,000(1.05) = $49,500
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Consumption Possibilities
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Current Consumption (000s)
FutuerConsumption(000s)
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Borrowing Limits
Note that you need to be able to repay your
loan next year. Therefore,
$60,000 > (1.05)Loan
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Borrowing Limits
• Note that you need to be able to repay your
loan next year. Therefore,
$60,000 = (1.05)Loan
• Your maximum allowable loan is
$60,000/1.05 = $57,143 (this is associated
with zero future consumption)
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Borrowing Limits
• Note that you need to be able to repay your
loan next year. Therefore,
$60,000 = (1.05)Loan
Your maximum allowable loan is
$60,000/1.05 = $57,143 (this is associated
with zero future consumption)
Therefore, your maximum current
consumption is $107,143
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Consumption Possibilities
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Current Consumption (000s)
FutuerConsumption(000s)
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Consumption Possibilities
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Current Consumption (000s)
FutuerConsumption(000s)
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Saving to increase future consumption
• You could increase future consumption by saving some of
your income (i.e. a negative loan). Suppose you put
$20,000 in the bank, your current consumption is now
$30,000.
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Saving to increase future consumption
• You could increase future consumption by saving some of
your income (i.e. a negative loan). Suppose you put
$20,000 in the bank, your current consumption is now
$30,000.
• Next year, your bank account will be worth $20,000(1.05)
= $21,000. Therefore, your future consumption will be
$81,000
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Consumption Possibilities
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Current Consumption (000s)
FutuerConsumption(000s)
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Maximizing future consumption
• Suppose you save your entire income. Your
current consumption will be zero, but your
future consumption will be
C’ = $60,000 + $50,000(1.05) = $112,500
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Consumption Possibilities
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Current Consumption (000s)
FutuerConsumption(000s)
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Consumption Possibilities
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Current Consumption (000s)
FutuerConsumption(000s)
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Suppose that the interest rate rises to 8%
• Note that if you don’t borrow or lend, you
are unaffected.
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Suppose that the interest rate rises to 8%
• Note that if you don’t borrow or lend, you are
unaffected.
• At higher interest rates, your borrowing limit falls:
Loan = $60,000/1.08 = $55,556 (higher interest
rates are bad for borrowers)
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Suppose that the interest rate rises to 8%
• Note that if you don’t borrow or lend, you
are unaffected.
• At higher interest rates, your borrowing
limit falls: Loan = $60,000/1.08 = $55,556
(higher interest rates are bad for borrowers)
• However, if you are saving, you receive
more interest: $50,000(1.08) = $54,000
(higher interest rates are good for savers)
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Consumption Possibilities
Current Consumption (000s)
FutuerConsumption(000s)
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Consumption Possibilities
Current Consumption (000s)
FutureConsumption(000s)
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The interest rate is the relative price of current consumption
in terms of future consumption
• When any relative price changes, there are
two distinct effects that impact consumer
behavior
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The interest rate is the relative price of current consumption
in terms of future consumption
• When any relative price changes, there are two distinct
effects that impact consumer behavior
– The substitution effect: as relative prices change, consumer
typically alter purchases to favor the good that has become
cheaper
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The interest rate is the relative price of current consumption
in terms of future consumption
• When any relative price changes, there are two distinct
effects that impact consumer behavior
– The substitution effect: as relative prices change, consumer
typically alter purchases to favor the good that has become
cheaper
– Income Effect: Changing prices alter one’s purchasing power.
When purchasing power falls/rises, purchases fall/rise
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How does rising interest rates influence savings
decisions?
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How does rising interest rates influence savings
decisions?
• The substitution effect is unambiguous: as interest
rates rise, current consumption becomes more
expensive. Therefore, consumers spend less (i.e.
save more)
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How does rising interest rates influence savings
decisions?
• The substitution effect is unambiguous: as interest
rates rise, current consumption becomes more
expensive. Therefore, consumers spend less (i.e.
save more)
• The income effect depends on your current
situation: borrowers experience a negative income
effect and therefore would spend less (save more)
while savers experience a positive income effect
and therefore would spend more (save less)
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Impact of rising interest rates
Borrowers
• Substitution effect:
spend less (save more)
• Income effect: Spend
less (save
more)___________
Net effect: Save More
Savers
• Substitution effect:
spend less (save more)
• Income effect: spend
more (save
less)___________
Net effect: ????
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Aggregate Savings
• At the individual level, we would need to consider income
and substitution effects to determine the precise impact of
rising/falling interest rates on savings behavior
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Aggregate Savings
• At the individual level, we would need to consider income
and substitution effects to determine the precise impact of
rising/falling interest rates on savings behavior
• At the aggregate level, new savings is very close to zero
(i.e., there are approximately the same number of
borrowers as there are lenders
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Aggregate Savings
• At the individual level, we would need to consider
income and substitution effects to determine the
precise impact of rising/falling interest rates on
savings behavior
• At the aggregate level, new savings is very close
to zero (i.e., there are approximately the same
number of borrowers as there are lenders
• Therefore, the income effects cancel out and
higher interest rates have an unambiguous positive
effect on savings
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Aggregate Savings
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Savings ($)
InterestRate(%)
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Again, assume that the interest rate is 5%, consider
two individuals
Person A
• Current income:
$10,000
• Anticipated future
income: $50,000
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Again, assume that the interest rate is 5%, consider
two individuals
Person A
• Current income:
$10,000
• Anticipated future
income: $50,000
Person B
• Current Income:
$50,000
• Anticipated Future
income: $8,000
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Again, assume that the interest rate is 5%, consider
two individuals
Person A
• Current income:
$10,000
• Anticipated future
income: $50,000
Wealth: $57,619
Person B
• Current Income:
$50,000
• Anticipated Future
income: $8,000
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Again, assume that the interest rate is 5%, consider
two individuals
Person A
• Current income:
$10,000
• Anticipated future
income: $50,000
Wealth: $57,619
Person B
• Current Income:
$50,000
• Anticipated Future
income: $8,000
Wealth: $57,619
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Consumption vs. Wealth
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Consumption and Wealth
• With capital markets, consumption is not
determined by current income, but by wealth
(present value of lifetime income)
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Consumption and Wealth
• With capital markets, consumption is not
determined by current income, but by wealth
(present value of lifetime income)
• These two individuals, having the same wealth,
should choose the same consumption
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Consumption vs. Wealth
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Again, assume that the interest rate is 5%, consider
two individuals
• Person A
• Current income: $10,000
• Anticipated future
income: $50,000
Wealth: $57,619
Current Spending:
$30,000
Person B
• Current Income: $50,000
• Anticipated Future
income: $8,000
Wealth: $57,619
Current Spending:
$30,000
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Again, assume that the interest rate is 5%, consider
two individuals
• Person A
• Current income: $10,000
• Anticipated future
income: $50,000
Wealth: $57,619
Current Spending:
$30,000
Savings: -$20,000
Person B
• Current Income: $50,000
• Anticipated Future
income: $8,000
Wealth: $57,619
Current Spending:
$30,000
Savings: $20,000
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Again, assume that the interest rate is 5%, consider
two individuals
• Person A
• Current income: $10,000
• Anticipated future
income: $50,000
Wealth: $57,619
Current Spending:
$30,000
Savings: -$20,000
Future Spending: $29,000
Person B
• Current Income: $50,000
• Anticipated Future
income: $8,000
Wealth: $57,619
Current Spending:
$30,000
Savings: $20,000
Future Spending: $29,000
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Consumption and Wealth
• With capital markets, consumption is not
determined by current income, but by wealth
(present value of lifetime income)
• These two individuals, having the same wealth,
should choose the same consumption.
• For a given level of wealth, those with high rates
of income growth would be expected to be
borrowers
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Suppose that economic growth in the US rises. What
should happen to aggregate savings?
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Savings ($)
InterestRate(%)
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Suppose that economic growth in the US rises. What
should happen to aggregate savings?
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InterestRate(%)
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Technology & Investment
Demand
• Recall that an economy has three sources of
growth: labor, capital, and technology
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Production Technology
• Recall that an economy has three sources of
growth: labor, capital, and technology
• The production function describes the
relationship between output and the three
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Production (Holding Employment Fixed)
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Production (Holding Employment Fixed)
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Capital
Output
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Marginal Product of Capital
• The marginal product of capital is defined as
the additional output produced by each
additional unit of capital purchased.
• In the previous slide, the first unit of capital
generated 25 units of output while the second
unit of capital raised total output from 20 to 45
• Therefore, the MPK of the first unit of capital
is 25 while the MPK of the second unit of
capital is 20
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Diminishing marginal product implies that as the
capital stock rises, the marginal product of
additional capital falls
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Output
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Marginal Product and Investment Demand
• Recall that investment refers to the purchase
of new capital equipment by the private
sector
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Marginal Product and Investment Demand
• Recall that investment refers to the purchase
of new capital equipment by the private
sector
• Firms are profit maximizers and, hence,
only take actions that increase firm value
(present value of lifetime earnings)
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Marginal Product and Investment Demand
• Recall that investment refers to the purchase of
new capital equipment by the private sector
• Firms are profit maximizers and, hence, only take
actions that increase firm value (present value of
lifetime earnings)
• Therefore a firm will only buy a new piece of
capital when the contribution of that capital to
firm value is greater that its cost
P(k) > PV(MPK)
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A Numerical example
• Suppose that the current interest rate is 5% and that the
cost of a unit of machinery is $100. Capital is assumed to
depreciate at a rate of 10% per year.
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A Numerical example
• Suppose that the current interest rate is 5% and that the
cost of a unit of machinery is $100.
• Given the technology from the previous slide, the marginal
product of the first unit of capital is $25/yr. Income stream
will this capital generate?
• Year 1: $25
Year 2: $25(1-.10) = $22.50
Year 3: $25(1-.10)(1-.10) = $20.25
Year 3: $25(1-.10)(1-.10)(1-.10) = $18.23 …………
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A Numerical example
• What is the present value of this income stream?
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A Numerical example
• What is the present value of this income stream?
PV = $25/(1.05) + $22.50/(1.05)^2 + $20.25/(1.05)^3 + …….
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A Numerical example
• What is the present value of this income stream?
PV = $25/(1.05) + $22.50/(1.05)^2 + $20.25/(1.05)^3 + …….
PV = $25/( i + depreciation ) = $25/(.15) = $167
• Is this a positive NPV project? Yes ( $167 > $100)
www.StudsPlanet.com
A Numerical example
• What is the present value of this income stream?
PV = $25/(1.05) + $22.50/(1.05)^2 + $20.25/(1.05)^3 + …….
PV = $25/( i + depreciation ) = $25/(.15) = $167
• Is this a positive NPV project? Yes ( $167 > $100)
• In fact, solving the above expression tells us that this is a positive
NPV project for any interest rate under
i = (MPK/Pk) – depreciation = ($25/$100) - .10 = .15 = 15%
www.StudsPlanet.com
Interest rates and Investment
0
2
4
6
8
10
12
14
16
0 1 2 3 4 5 6 7
www.StudsPlanet.com
Interest rates and investment
• Note that once the first unit of capital has
been purchased, the second unit of capital
only has a marginal product of 20.
• Therefore, for this unit of capital to be a
positive PV project, the interest rate must
be lower than 20/100 - .10 = .1 = 10%
www.StudsPlanet.com
Interest rates and Investment
0
2
4
6
8
10
12
14
16
0 1 2 3 4 5 6 7
www.StudsPlanet.com
Interest rates and Investment
0
2
4
6
8
10
12
14
16
0 1 2 3 4 5
www.StudsPlanet.com
Interest rates and investment
• Diminishing marginal product of Capital
guarantees that the demand for investment
is downward sloping (increasing rates of
investment require lower interest rates)
• To get the total demand for loans, multiply
the investment curve by the price of capital)
www.StudsPlanet.com
Interest rates and Investment
0
2
4
6
8
10
12
14
16
0 100 200 300 400 500
www.StudsPlanet.com
Investment Demand
• It is assumed that labor and capital are
compliments. That is, when employment
rises, the productivity of capital increases as
well.
www.StudsPlanet.com
Investment Demand
• It is assumed that labor and capital are
compliments. That is, when employment
rises, the productivity of capital increases as
well.
• Therefore, as a rise in employment should
increase the demand for capital and, hence,
the demand for loans
www.StudsPlanet.com
Investment Demand
• It is assumed that labor and capital are
compliments. That is, when employment rises, the
productivity of capital increases as well.
• Therefore, as a rise in employment should increase
the demand for capital and, hence, the demand for
loans
• Further, any technological improvement should
also raise the demand for investment
www.StudsPlanet.com
A rise in investment demand
0
2
4
6
8
10
12
14
16
0 100 200 300 400 500
www.StudsPlanet.com
A rise in investment demand
0
5
10
15
20
25
0 100 200 300 400 500
www.StudsPlanet.com
Capital Market Equilibrium
• For now, assume that there is
no government and the US is a
closed economy
• Add up individual firm’s hiring
decisions to get aggregate
investment
• Add up individual household
decisions to get aggregate
savings
• A capital market equilibrium is
an interest rate that clears the
market (i.e.,savings equals
investment)
• Here, i*= 10%, S* = I*= 300
0
4
8
12
16
20
0 100 200 300 400 500
www.StudsPlanet.com
Example: Post-war Germany
• It is estimated that 20-25% of
Germany’s capital stock was
destroyed during WWII. How
would the German capital
market respond to this?
0
4
8
12
16
20
0 100 200 300 400 500
www.StudsPlanet.com
Example: Post-war Germany
• It is estimated that 20-25% of
Germany’s capital stock was
destroyed during WWII. How
would the German capital
market respond to this?
• A lower capital stock decreases
increases the productivity of
new investment and, thus
increases investment demand
0
4
8
12
16
20
24
0 100 200 300 400 500
www.StudsPlanet.com
Example: Post-war Germany
• It is estimated that 20-25% of
Germany’s capital stock was
destroyed during WWII. How
would the German capital
market respond to this?
• A lower capital stock decreases
increases the productivity of
new investment and, thus
increases investment demand
• The resulting higher
equilibrium has a higher
interest rate, higher savings and
investment
0
4
8
12
16
20
24
0 100 200 300 400 500
www.StudsPlanet.com
Example:The Bubonic Plague
• The Bubonic Plague, or “Black
Death” ravaged Europe in the
1300’s. From 1347-1352,
approximately 30% of the
population in Europe was killed
(25 million). What impact will
this have on capital markets?
0
4
8
12
16
20
0 100 200 300 400 500
www.StudsPlanet.com
Example:The Bubonic Plague
• The Bubonic Plague, or “Black
Death” ravaged Europe in the
1300’s. From 1347-1352,
approximately 30% of the
population in Europe was killed
(25 million). What impact will
this have on capital markets?
• A decrease in employment
lowers the productivity of
investment (labor and capital
are complements) and, hence,
investment demand
0
4
8
12
16
20
0 100 200 300 400 500
www.StudsPlanet.com
Example:The Bubonic Plague
• The Bubonic Plague, or “Black
Death” ravaged Europe in the
1300’s. From 1347-1352,
approximately 30% of the
population in Europe was killed
(25 million). What impact will
this have on capital markets?
• A decrease in employment
lowers the productivity of
investment (labor and capital
are complements) and, hence,
investment demand
• The result: lower interest rates,
savings, and investment
0
4
8
12
16
20
0 100 200 300 400 500
www.StudsPlanet.com
Temporary vs. Permanent Shocks
• Unlike labor markets, the
timing and persistence of
productivity shock are
important
0
4
8
12
16
20
0 100 200 300 400 500
www.StudsPlanet.com
Temporary vs. Permanent Shocks
• Unlike labor markets, the
timing and persistence of
productivity shock are
important
• New capital takes time to
install. Therefore, productivity
improvements must be long
lasting to effect investment
demand
0
4
8
12
16
20
0 100 200 300 400 500
www.StudsPlanet.com
Temporary vs. Permanent Shocks
• Unlike labor markets, the
timing and persistence of
productivity shock are
important
• New capital takes time to
install. Therefore, productivity
improvements must be long
lasting to effect investment
demand
• A temporary improvement in
productivity will increase
savings (as consumers smooth
this extra income), but have no
impact on investment
0
4
8
12
16
20
0 100 200 300 400 500
www.StudsPlanet.com
Temporary vs. Permanent Shocks
• Unlike labor markets, the
timing and persistence of
productivity shock are
important
• New capital takes time to
install. Therefore, productivity
improvements must be long
lasting to effect investment
demand
• On the other hand, a permanent
technological improvement will
increase investment, but have
little impact on savings
0
4
8
12
16
20
24
0 100 200 300 400 500
www.StudsPlanet.com

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Capital markets

  • 1. Capital Markets Savings, Investment, and Interest Rates www.StudsPlanet.com
  • 2. Some Useful Terminology • Savings: Current income which is deferred for future consumption (i.e., not spent) www.StudsPlanet.com
  • 3. Some Useful Terminology • Savings: Current income which is deferred for future consumption (i.e., not spent) National Income: $8,512.3 B + Dividend Payments, Interest, Gov’t Transfers, etc.: $582.5B - Taxes: $1,077.2 B = Personal Disposable Income: $8,017.6 B - Personal Consumption Expenditures: $7,727.2 B = Personal Savings: $290.4B (3.5% of Personal Income) www.StudsPlanet.com
  • 4. Some Useful Terminology • Savings: Current income which is deferred for future consumption (i.e., not spent) National Income: $8,512.3 B + Dividend Payments, Interest, Gov’t Transfers, etc.: $582.5B - Taxes: $1,077.2 B = Personal Disposable Income: $8,017.6 B - Personal Consumption Expenditures: $7,727.2 B = Personal Savings: $290.4B (3.5% of Personal Income) • Note that there are many ways to save (savings account, bonds, stocks, etc.) www.StudsPlanet.com
  • 5. Some Useful Terminology • Investment: The purchase of new capital goods. www.StudsPlanet.com
  • 6. Some Useful Terminology • Investment: The purchase of new capital goods. – Gross Investment: Total purchases of new capital goods www.StudsPlanet.com
  • 7. Some Useful Terminology • Investment: The purchase of new capital goods. – Gross Investment: Total purchases of new capital goods • Gross Private Investment: $1,611.2 B • Gross Public Investment: $355 B www.StudsPlanet.com
  • 8. Some Useful Terminology • Investment: The purchase of new capital goods. – Gross Investment: Total purchases of new capital goods • Gross Private Investment: $1,611.2 B • Gross Public Investment: $355 B – Net Investment: Gross investment less depreciation of existing capital (capital consumption) • Net Private Investment: $500 B • Net Public Investment: $250 B www.StudsPlanet.com
  • 9. NIPA Accounts • Recall, the accounting identity in the NIPA accounts: GDP = C + I + G + NX www.StudsPlanet.com
  • 10. NIPA Accounts • Recall, the accounting identity in the NIPA accounts: GDP = C + I + G + NX • GDP = Gross Private Savings + Taxes + C www.StudsPlanet.com
  • 11. NIPA Accounts • Recall, the accounting identity in the NIPA accounts: GDP = C + I + G + NX • GDP = Gross Private Savings + Taxes + C Gross Private Savings = I + (G-T) + NX I (Public + Private) : $1,966 B + (G-T): $106B + NX: - $559B Gross Private Savings: $1,513B (16% of GDP) www.StudsPlanet.com
  • 12. NIPA Accounts • Recall, the accounting identity in the NIPA accounts: GDP = C + I + G + NX • GDP = Gross Savings + Taxes + C I + (G-T) + NX = Gross Private Savings I (Public + Private) : $1,966 B + (G-T): $123B + NX: - $487B Gross Private Savings: $1,513B Personal Savings ($290B) = Gross Private Saving ($1,513B) - Depreciation www.StudsPlanet.com
  • 13. Interest Rates • What is an interest rate? www.StudsPlanet.com
  • 14. Interest Rates • What is an interest rate? – The interest rate is the relative price of current spending in terms of foregone future income. www.StudsPlanet.com
  • 15. Interest Rates • What is an interest rate? – The interest rate is the relative price of current spending in terms of foregone future income. – Example: if the interest rate is 5% (Annual), you must give up $1.05 worth of next year’s income in order to increase this year’s spending by $1. www.StudsPlanet.com
  • 19. Yield Curves • What determines the shape of the yield curve? – Segmented Markets Hypothesis – Expectations Hypothesis – Preferred Habitat Hypothesis www.StudsPlanet.com
  • 21. Interest Rates • Treasury Securities (1 - 5%) • Agency Securities (1 - 5%) • Municipal Bonds (3 – 5%) • Corporate Bonds (6 – 11%) • Preferred Stock (5 – 15%) • Asset Backed Securities (4 – 5%) www.StudsPlanet.com
  • 22. Interest Rates • Treasury Securities (1 - 5%) • Agency Securities (1 - 5%) • Municipal Bonds (3 – 5%) • Corporate Bonds (6 – 11%) • Preferred Stock (5 – 15%) • Asset Backed Securities (4 – 5%) • “Risky” Rate = Risk Free Rate + Risk Premium www.StudsPlanet.com
  • 23. Real vs. Nominal Interest Rates • As with any other variable, the nominal interest rate is in terms of dollars. (the cost of a current dollar in terms of forgone future dollars). To calculate the real interest rate, we need to correct for the purchasing power of those dollars. www.StudsPlanet.com
  • 24. Real vs. Nominal Interest Rates • As with any other variable, the nominal interest rate is in terms of dollars. (the cost of a current dollar in terms of forgone future dollars). To calculate the real interest rate, we need to correct for the purchasing power of those dollars. • Exact: (1+i ) = (1+ r )*(1 + inflation rate) www.StudsPlanet.com
  • 25. Real vs. Nominal Interest Rates • As with any other variable, the nominal interest rate is in terms of dollars. (the cost of a current dollar in terms of forgone future dollars). To calculate the real interest rate, we need to correct for the purchasing power of those dollars. • Exact: (1+i ) = (1+ r )*(1 + inflation rate) • Approximation: i = r + inflation rate www.StudsPlanet.com
  • 27. Real vs. Nominal Interest Rates • As with any other variable, the nominal interest rate is in terms of dollars. (the cost of a current dollar in terms of forgone future dollars). To calculate the real interest rate, we need to correct for the purchasing power of those dollars. • Exact: (1+i ) = (1+ r )*(1 + inflation rate) • Approximation: i = r + inflation rate • How can real interest rates be negative? www.StudsPlanet.com
  • 28. Real vs. Nominal Interest Rates • As with any other variable, the nominal interest rate is in terms of dollars. (the cost of a current dollar in terms of forgone future dollars). To calculate the real interest rate, we need to correct for the purchasing power of those dollars. • Exact: (1+i ) = (1+ r )*(1 + inflation rate) • Approximation: i = r + inflation rate • How can real interest rates be negative? – Ex ante vs. ex post www.StudsPlanet.com
  • 29. Present Value • With a positive interest rate, income received in the future is less valuable that income received immediately. www.StudsPlanet.com
  • 30. Present Value • With a positive interest rate, income received in the future is less valuable that income received immediately. • At a 5% annual interest rate, $1.05 to be received in one year is equivalent to $1 to be received today (because $1 today could be worth $1.05) $1(1.05) = $1.05 www.StudsPlanet.com
  • 31. Present Value • With a positive interest rate, income received in the future is less valuable that income received immediately. • At a 5% annual interest rate, $1.05 to be received in one year is equivalent to $1 to be received today (because $1 today could be worth $1.05) $1(1.05) = $1.05 • Therefore, the present value of $1.05 to be paid in one year (if the annual interest rate is 5%) is $1. www.StudsPlanet.com
  • 32. Present Value • With a positive interest rate, income received in the future is less valuable that income received immediately. • At a 5% annual interest rate, $1.05 to be received in one year is equivalent to $1 to be received today (because $1 today could be worth $1.05) $1(1.05) = $1.05 • Therefore, the present value of $1.05 to be paid in one year (if the annual interest rate is 5%) is $1. • In general, the PV of $X to be paid in N years is equal to PV = $X/(1+i)^N www.StudsPlanet.com
  • 33. Income vs. Wealth • Your wealth is defined and the present value of your lifetime income. www.StudsPlanet.com
  • 34. Income vs. Wealth • Your wealth is defined and the present value of your lifetime income. • For example, suppose you expect your annual income to be $50,000 per year for the rest of your life. If the annual interest rate is 3%: Wealth = $50,000 + $50,000/(1.03) + $50,000/(1.03)^2 + …… = $50,000/(.03) = $1,666,666 (Approx) www.StudsPlanet.com
  • 35. Household Savings • Without an active capital markets, household consumption is restricted to equal current income (that is, C=Y) www.StudsPlanet.com
  • 36. Household Savings • Without an active capital markets, household consumption is restricted to equal current income (that is, C=Y) • With capital markets, the present value of lifetime consumption must equal the present value of lifetime income (assuming all debts are eventually repaid) www.StudsPlanet.com
  • 37. A two period example • Suppose that your current income is equal to $50,000 and you anticipate next year’s income to be $60,000. The current interest rate is 5%. www.StudsPlanet.com
  • 38. A two period example • Suppose that your current income is equal to $50,000 and you anticipate next year’s income to be $60,000. The current interest rate is 5%. • In the absence of capital markets, your consumption stream would be $50,000 this year and $60,000 next year. www.StudsPlanet.com
  • 39. Consumption Possibilities 0 10 20 30 40 50 60 70 80 90 100 0 10 20 30 40 50 60 70 80 90 100 Current Consumption (000s) FutureConsumption(000s) www.StudsPlanet.com
  • 40. Borrowing to increase current consumption • To increase your current consumption, you could take out a loan. Your current consumption would now be C = $50,000 + Loan www.StudsPlanet.com
  • 41. Borrowing to increase current consumption • To increase your current consumption, you could take out a loan. Your current consumption would now be C = $50,000 + Loan • However, you must repay your loan next year. This implies that C’= $60,000 – (1.05)Loan www.StudsPlanet.com
  • 42. Borrowing to increase current consumption • To increase your current consumption, you could take out a loan. Your current consumption would now be C = $50,000 + Loan • However, you repay your loan next year. This implies that C’= $60,000 – (1.05)Loan • For example, if you take out a $10,000 loan, your current consumption would be $60,000, while your future income would be $60,000 - $10,000(1.05) = $49,500 www.StudsPlanet.com
  • 43. Consumption Possibilities 0 10 20 30 40 50 60 70 80 90 100 0 10 20 30 40 50 60 70 80 90 100 Current Consumption (000s) FutuerConsumption(000s) www.StudsPlanet.com
  • 44. Borrowing Limits Note that you need to be able to repay your loan next year. Therefore, $60,000 > (1.05)Loan www.StudsPlanet.com
  • 45. Borrowing Limits • Note that you need to be able to repay your loan next year. Therefore, $60,000 = (1.05)Loan • Your maximum allowable loan is $60,000/1.05 = $57,143 (this is associated with zero future consumption) www.StudsPlanet.com
  • 46. Borrowing Limits • Note that you need to be able to repay your loan next year. Therefore, $60,000 = (1.05)Loan Your maximum allowable loan is $60,000/1.05 = $57,143 (this is associated with zero future consumption) Therefore, your maximum current consumption is $107,143 www.StudsPlanet.com
  • 47. Consumption Possibilities 0 20 40 60 80 100 120 0 10 20 30 40 50 60 70 80 90 100 110 120 Current Consumption (000s) FutuerConsumption(000s) www.StudsPlanet.com
  • 48. Consumption Possibilities 0 20 40 60 80 100 120 0 10 20 30 40 50 60 70 80 90 100 110 120 Current Consumption (000s) FutuerConsumption(000s) www.StudsPlanet.com
  • 49. Saving to increase future consumption • You could increase future consumption by saving some of your income (i.e. a negative loan). Suppose you put $20,000 in the bank, your current consumption is now $30,000. www.StudsPlanet.com
  • 50. Saving to increase future consumption • You could increase future consumption by saving some of your income (i.e. a negative loan). Suppose you put $20,000 in the bank, your current consumption is now $30,000. • Next year, your bank account will be worth $20,000(1.05) = $21,000. Therefore, your future consumption will be $81,000 www.StudsPlanet.com
  • 51. Consumption Possibilities 0 20 40 60 80 100 120 0 10 20 30 40 50 60 70 80 90 100 110 120 Current Consumption (000s) FutuerConsumption(000s) www.StudsPlanet.com
  • 52. Maximizing future consumption • Suppose you save your entire income. Your current consumption will be zero, but your future consumption will be C’ = $60,000 + $50,000(1.05) = $112,500 www.StudsPlanet.com
  • 53. Consumption Possibilities 0 20 40 60 80 100 120 0 10 20 30 40 50 60 70 80 90 100 110 120 Current Consumption (000s) FutuerConsumption(000s) www.StudsPlanet.com
  • 54. Consumption Possibilities 0 20 40 60 80 100 120 0 10 20 30 40 50 60 70 80 90 100 110 120 Current Consumption (000s) FutuerConsumption(000s) www.StudsPlanet.com
  • 55. Suppose that the interest rate rises to 8% • Note that if you don’t borrow or lend, you are unaffected. www.StudsPlanet.com
  • 56. Suppose that the interest rate rises to 8% • Note that if you don’t borrow or lend, you are unaffected. • At higher interest rates, your borrowing limit falls: Loan = $60,000/1.08 = $55,556 (higher interest rates are bad for borrowers) www.StudsPlanet.com
  • 57. Suppose that the interest rate rises to 8% • Note that if you don’t borrow or lend, you are unaffected. • At higher interest rates, your borrowing limit falls: Loan = $60,000/1.08 = $55,556 (higher interest rates are bad for borrowers) • However, if you are saving, you receive more interest: $50,000(1.08) = $54,000 (higher interest rates are good for savers) www.StudsPlanet.com
  • 58. Consumption Possibilities Current Consumption (000s) FutuerConsumption(000s) www.StudsPlanet.com
  • 59. Consumption Possibilities Current Consumption (000s) FutureConsumption(000s) www.StudsPlanet.com
  • 60. The interest rate is the relative price of current consumption in terms of future consumption • When any relative price changes, there are two distinct effects that impact consumer behavior www.StudsPlanet.com
  • 61. The interest rate is the relative price of current consumption in terms of future consumption • When any relative price changes, there are two distinct effects that impact consumer behavior – The substitution effect: as relative prices change, consumer typically alter purchases to favor the good that has become cheaper www.StudsPlanet.com
  • 62. The interest rate is the relative price of current consumption in terms of future consumption • When any relative price changes, there are two distinct effects that impact consumer behavior – The substitution effect: as relative prices change, consumer typically alter purchases to favor the good that has become cheaper – Income Effect: Changing prices alter one’s purchasing power. When purchasing power falls/rises, purchases fall/rise www.StudsPlanet.com
  • 63. How does rising interest rates influence savings decisions? www.StudsPlanet.com
  • 64. How does rising interest rates influence savings decisions? • The substitution effect is unambiguous: as interest rates rise, current consumption becomes more expensive. Therefore, consumers spend less (i.e. save more) www.StudsPlanet.com
  • 65. How does rising interest rates influence savings decisions? • The substitution effect is unambiguous: as interest rates rise, current consumption becomes more expensive. Therefore, consumers spend less (i.e. save more) • The income effect depends on your current situation: borrowers experience a negative income effect and therefore would spend less (save more) while savers experience a positive income effect and therefore would spend more (save less) www.StudsPlanet.com
  • 66. Impact of rising interest rates Borrowers • Substitution effect: spend less (save more) • Income effect: Spend less (save more)___________ Net effect: Save More Savers • Substitution effect: spend less (save more) • Income effect: spend more (save less)___________ Net effect: ???? www.StudsPlanet.com
  • 67. Aggregate Savings • At the individual level, we would need to consider income and substitution effects to determine the precise impact of rising/falling interest rates on savings behavior www.StudsPlanet.com
  • 68. Aggregate Savings • At the individual level, we would need to consider income and substitution effects to determine the precise impact of rising/falling interest rates on savings behavior • At the aggregate level, new savings is very close to zero (i.e., there are approximately the same number of borrowers as there are lenders www.StudsPlanet.com
  • 69. Aggregate Savings • At the individual level, we would need to consider income and substitution effects to determine the precise impact of rising/falling interest rates on savings behavior • At the aggregate level, new savings is very close to zero (i.e., there are approximately the same number of borrowers as there are lenders • Therefore, the income effects cancel out and higher interest rates have an unambiguous positive effect on savings www.StudsPlanet.com
  • 70. Aggregate Savings 0 1 2 3 4 5 6 7 8 9 0 10 20 30 40 50 Savings ($) InterestRate(%) www.StudsPlanet.com
  • 71. Again, assume that the interest rate is 5%, consider two individuals Person A • Current income: $10,000 • Anticipated future income: $50,000 www.StudsPlanet.com
  • 72. Again, assume that the interest rate is 5%, consider two individuals Person A • Current income: $10,000 • Anticipated future income: $50,000 Person B • Current Income: $50,000 • Anticipated Future income: $8,000 www.StudsPlanet.com
  • 73. Again, assume that the interest rate is 5%, consider two individuals Person A • Current income: $10,000 • Anticipated future income: $50,000 Wealth: $57,619 Person B • Current Income: $50,000 • Anticipated Future income: $8,000 www.StudsPlanet.com
  • 74. Again, assume that the interest rate is 5%, consider two individuals Person A • Current income: $10,000 • Anticipated future income: $50,000 Wealth: $57,619 Person B • Current Income: $50,000 • Anticipated Future income: $8,000 Wealth: $57,619 www.StudsPlanet.com
  • 75. Consumption vs. Wealth 10 57.6 0 50 0 10 20 30 40 50 60 70 0 10 20 30 40 50 60 70 www.StudsPlanet.com
  • 76. Consumption and Wealth • With capital markets, consumption is not determined by current income, but by wealth (present value of lifetime income) www.StudsPlanet.com
  • 77. Consumption and Wealth • With capital markets, consumption is not determined by current income, but by wealth (present value of lifetime income) • These two individuals, having the same wealth, should choose the same consumption www.StudsPlanet.com
  • 78. Consumption vs. Wealth 10 57.6 0 50 0 10 20 30 40 50 60 70 0 10 20 30 40 50 60 70 www.StudsPlanet.com
  • 79. Again, assume that the interest rate is 5%, consider two individuals • Person A • Current income: $10,000 • Anticipated future income: $50,000 Wealth: $57,619 Current Spending: $30,000 Person B • Current Income: $50,000 • Anticipated Future income: $8,000 Wealth: $57,619 Current Spending: $30,000 www.StudsPlanet.com
  • 80. Again, assume that the interest rate is 5%, consider two individuals • Person A • Current income: $10,000 • Anticipated future income: $50,000 Wealth: $57,619 Current Spending: $30,000 Savings: -$20,000 Person B • Current Income: $50,000 • Anticipated Future income: $8,000 Wealth: $57,619 Current Spending: $30,000 Savings: $20,000 www.StudsPlanet.com
  • 81. Again, assume that the interest rate is 5%, consider two individuals • Person A • Current income: $10,000 • Anticipated future income: $50,000 Wealth: $57,619 Current Spending: $30,000 Savings: -$20,000 Future Spending: $29,000 Person B • Current Income: $50,000 • Anticipated Future income: $8,000 Wealth: $57,619 Current Spending: $30,000 Savings: $20,000 Future Spending: $29,000 www.StudsPlanet.com
  • 82. Consumption and Wealth • With capital markets, consumption is not determined by current income, but by wealth (present value of lifetime income) • These two individuals, having the same wealth, should choose the same consumption. • For a given level of wealth, those with high rates of income growth would be expected to be borrowers www.StudsPlanet.com
  • 83. Suppose that economic growth in the US rises. What should happen to aggregate savings? 0 1 2 3 4 5 6 7 8 9 0 10 20 30 40 50 Savings ($) InterestRate(%) www.StudsPlanet.com
  • 84. Suppose that economic growth in the US rises. What should happen to aggregate savings? 0 2 4 6 8 10 12 0 10 20 30 40 50 Savings ($) InterestRate(%) www.StudsPlanet.com
  • 85. Technology & Investment Demand • Recall that an economy has three sources of growth: labor, capital, and technology www.StudsPlanet.com
  • 86. Production Technology • Recall that an economy has three sources of growth: labor, capital, and technology • The production function describes the relationship between output and the three www.StudsPlanet.com
  • 87. Production (Holding Employment Fixed) www.StudsPlanet.com
  • 88. Production (Holding Employment Fixed) 0 10 20 30 40 50 60 70 80 90 0 2 4 6 8 10 Capital Output www.StudsPlanet.com
  • 89. Marginal Product of Capital • The marginal product of capital is defined as the additional output produced by each additional unit of capital purchased. • In the previous slide, the first unit of capital generated 25 units of output while the second unit of capital raised total output from 20 to 45 • Therefore, the MPK of the first unit of capital is 25 while the MPK of the second unit of capital is 20 www.StudsPlanet.com
  • 90. Diminishing marginal product implies that as the capital stock rises, the marginal product of additional capital falls 0 10 20 30 40 50 60 70 80 90 0 2 4 6 8 10 Capital Output 0 5 10 15 20 25 30 www.StudsPlanet.com
  • 91. Marginal Product and Investment Demand • Recall that investment refers to the purchase of new capital equipment by the private sector www.StudsPlanet.com
  • 92. Marginal Product and Investment Demand • Recall that investment refers to the purchase of new capital equipment by the private sector • Firms are profit maximizers and, hence, only take actions that increase firm value (present value of lifetime earnings) www.StudsPlanet.com
  • 93. Marginal Product and Investment Demand • Recall that investment refers to the purchase of new capital equipment by the private sector • Firms are profit maximizers and, hence, only take actions that increase firm value (present value of lifetime earnings) • Therefore a firm will only buy a new piece of capital when the contribution of that capital to firm value is greater that its cost P(k) > PV(MPK) www.StudsPlanet.com
  • 94. A Numerical example • Suppose that the current interest rate is 5% and that the cost of a unit of machinery is $100. Capital is assumed to depreciate at a rate of 10% per year. www.StudsPlanet.com
  • 95. A Numerical example • Suppose that the current interest rate is 5% and that the cost of a unit of machinery is $100. • Given the technology from the previous slide, the marginal product of the first unit of capital is $25/yr. Income stream will this capital generate? • Year 1: $25 Year 2: $25(1-.10) = $22.50 Year 3: $25(1-.10)(1-.10) = $20.25 Year 3: $25(1-.10)(1-.10)(1-.10) = $18.23 ………… www.StudsPlanet.com
  • 96. A Numerical example • What is the present value of this income stream? www.StudsPlanet.com
  • 97. A Numerical example • What is the present value of this income stream? PV = $25/(1.05) + $22.50/(1.05)^2 + $20.25/(1.05)^3 + ……. www.StudsPlanet.com
  • 98. A Numerical example • What is the present value of this income stream? PV = $25/(1.05) + $22.50/(1.05)^2 + $20.25/(1.05)^3 + ……. PV = $25/( i + depreciation ) = $25/(.15) = $167 • Is this a positive NPV project? Yes ( $167 > $100) www.StudsPlanet.com
  • 99. A Numerical example • What is the present value of this income stream? PV = $25/(1.05) + $22.50/(1.05)^2 + $20.25/(1.05)^3 + ……. PV = $25/( i + depreciation ) = $25/(.15) = $167 • Is this a positive NPV project? Yes ( $167 > $100) • In fact, solving the above expression tells us that this is a positive NPV project for any interest rate under i = (MPK/Pk) – depreciation = ($25/$100) - .10 = .15 = 15% www.StudsPlanet.com
  • 100. Interest rates and Investment 0 2 4 6 8 10 12 14 16 0 1 2 3 4 5 6 7 www.StudsPlanet.com
  • 101. Interest rates and investment • Note that once the first unit of capital has been purchased, the second unit of capital only has a marginal product of 20. • Therefore, for this unit of capital to be a positive PV project, the interest rate must be lower than 20/100 - .10 = .1 = 10% www.StudsPlanet.com
  • 102. Interest rates and Investment 0 2 4 6 8 10 12 14 16 0 1 2 3 4 5 6 7 www.StudsPlanet.com
  • 103. Interest rates and Investment 0 2 4 6 8 10 12 14 16 0 1 2 3 4 5 www.StudsPlanet.com
  • 104. Interest rates and investment • Diminishing marginal product of Capital guarantees that the demand for investment is downward sloping (increasing rates of investment require lower interest rates) • To get the total demand for loans, multiply the investment curve by the price of capital) www.StudsPlanet.com
  • 105. Interest rates and Investment 0 2 4 6 8 10 12 14 16 0 100 200 300 400 500 www.StudsPlanet.com
  • 106. Investment Demand • It is assumed that labor and capital are compliments. That is, when employment rises, the productivity of capital increases as well. www.StudsPlanet.com
  • 107. Investment Demand • It is assumed that labor and capital are compliments. That is, when employment rises, the productivity of capital increases as well. • Therefore, as a rise in employment should increase the demand for capital and, hence, the demand for loans www.StudsPlanet.com
  • 108. Investment Demand • It is assumed that labor and capital are compliments. That is, when employment rises, the productivity of capital increases as well. • Therefore, as a rise in employment should increase the demand for capital and, hence, the demand for loans • Further, any technological improvement should also raise the demand for investment www.StudsPlanet.com
  • 109. A rise in investment demand 0 2 4 6 8 10 12 14 16 0 100 200 300 400 500 www.StudsPlanet.com
  • 110. A rise in investment demand 0 5 10 15 20 25 0 100 200 300 400 500 www.StudsPlanet.com
  • 111. Capital Market Equilibrium • For now, assume that there is no government and the US is a closed economy • Add up individual firm’s hiring decisions to get aggregate investment • Add up individual household decisions to get aggregate savings • A capital market equilibrium is an interest rate that clears the market (i.e.,savings equals investment) • Here, i*= 10%, S* = I*= 300 0 4 8 12 16 20 0 100 200 300 400 500 www.StudsPlanet.com
  • 112. Example: Post-war Germany • It is estimated that 20-25% of Germany’s capital stock was destroyed during WWII. How would the German capital market respond to this? 0 4 8 12 16 20 0 100 200 300 400 500 www.StudsPlanet.com
  • 113. Example: Post-war Germany • It is estimated that 20-25% of Germany’s capital stock was destroyed during WWII. How would the German capital market respond to this? • A lower capital stock decreases increases the productivity of new investment and, thus increases investment demand 0 4 8 12 16 20 24 0 100 200 300 400 500 www.StudsPlanet.com
  • 114. Example: Post-war Germany • It is estimated that 20-25% of Germany’s capital stock was destroyed during WWII. How would the German capital market respond to this? • A lower capital stock decreases increases the productivity of new investment and, thus increases investment demand • The resulting higher equilibrium has a higher interest rate, higher savings and investment 0 4 8 12 16 20 24 0 100 200 300 400 500 www.StudsPlanet.com
  • 115. Example:The Bubonic Plague • The Bubonic Plague, or “Black Death” ravaged Europe in the 1300’s. From 1347-1352, approximately 30% of the population in Europe was killed (25 million). What impact will this have on capital markets? 0 4 8 12 16 20 0 100 200 300 400 500 www.StudsPlanet.com
  • 116. Example:The Bubonic Plague • The Bubonic Plague, or “Black Death” ravaged Europe in the 1300’s. From 1347-1352, approximately 30% of the population in Europe was killed (25 million). What impact will this have on capital markets? • A decrease in employment lowers the productivity of investment (labor and capital are complements) and, hence, investment demand 0 4 8 12 16 20 0 100 200 300 400 500 www.StudsPlanet.com
  • 117. Example:The Bubonic Plague • The Bubonic Plague, or “Black Death” ravaged Europe in the 1300’s. From 1347-1352, approximately 30% of the population in Europe was killed (25 million). What impact will this have on capital markets? • A decrease in employment lowers the productivity of investment (labor and capital are complements) and, hence, investment demand • The result: lower interest rates, savings, and investment 0 4 8 12 16 20 0 100 200 300 400 500 www.StudsPlanet.com
  • 118. Temporary vs. Permanent Shocks • Unlike labor markets, the timing and persistence of productivity shock are important 0 4 8 12 16 20 0 100 200 300 400 500 www.StudsPlanet.com
  • 119. Temporary vs. Permanent Shocks • Unlike labor markets, the timing and persistence of productivity shock are important • New capital takes time to install. Therefore, productivity improvements must be long lasting to effect investment demand 0 4 8 12 16 20 0 100 200 300 400 500 www.StudsPlanet.com
  • 120. Temporary vs. Permanent Shocks • Unlike labor markets, the timing and persistence of productivity shock are important • New capital takes time to install. Therefore, productivity improvements must be long lasting to effect investment demand • A temporary improvement in productivity will increase savings (as consumers smooth this extra income), but have no impact on investment 0 4 8 12 16 20 0 100 200 300 400 500 www.StudsPlanet.com
  • 121. Temporary vs. Permanent Shocks • Unlike labor markets, the timing and persistence of productivity shock are important • New capital takes time to install. Therefore, productivity improvements must be long lasting to effect investment demand • On the other hand, a permanent technological improvement will increase investment, but have little impact on savings 0 4 8 12 16 20 24 0 100 200 300 400 500 www.StudsPlanet.com