Investment and the Stock Market
Many economists see a link between fluctuations in investment and
 fluctuations in the stock market. Economic theory suggests that rises
 and falls in the stock market should lead firms to change their rates of
 capital investment in the same direction: Firms change investment in
 the same direction as the stock market.
 The relationship between stock prices and firms investment in
 physical capital is captured by the q theory of investment, called
 Tobins q, developed by James Tobin.
Investment and the Stock Market
  5.11 :    =
 where  is stock market value of firm (the value of the economys
 capital as determined by the stock market = stock price x the number
 of shares),  is firms capital and  is price of new capital.
 The denominator is the price of that capital if it were purchased
 today.
 Tobin reasoned that net investment should depend on whether q is
 greater or less than 1.
Investment and the Stock Market
  > 1
   >  
  Managers can raise the market value of firms stock by buying
 more capital. Invest more!
  < 1
   <  
  Managers will not replace capital as it wears out. Dont invest!
 Booming stock market raises V, causing q to rise, increasing
 investment.
Figure 5.5: Investment and Tobins q, 1987 - 2012
Investment and the Stock Market
 Tobins q and real private non-residential investment are closely
 related; they rose together throughout the 1990s and then both fell
 sharply in 2000 and 2008. But the relationship isnt strong in the 1987
 stock market crash and the mid-2000s because many other things
 change at the same time.
 Relationship b/w the q theory of investment and neoclassical theory
of investment:
 Higher 
  Higher future earnings
  Increases V and so q.
Investment and the Stock Market
 Relationship b/w the q theory of investment and neoclassical theory
of investment:
 A falling real interest rate
  raise stock prices and hence q as investors substitute away from
low-yielding bonds and bank deposits and buy stocks instead.
 A decrease in the purchase price of capital 
  Lower replacement cost of installed capital
  Raise q.
 Because all three types of change increase Tobins q, they also
 increase the optimal capital stock and investment.
Investment and the Stock Market
 Q: What is the advantage of Tobins q as a measure of the incentive to
 invest?
 A: Tobins  reflects the expected future profitability of capital as well
 as the current profitability. For example, Congress legislates
 a reduction in the corporate income tax beginning next year
  Greater profits for the owners of capital
  Higher expected profits raise the value of stock  today
  Increase Tobins q
  Raise investment today.
Investment and the Stock Market
 Tobins q theory of investment emphasizes that investment decisions
 depend not only on current economic policies but also on policies
 expected to prevail in the future.
Investment and the Stock Market
 Q: Does the stock market work as an economic indicator?
 A: Paul Samuelson says The stock market has predicted nine out of
 the last five recessions. According to Paul Samuelsons famous quip,
 the stock market is reliable as an economic indicator, but it is in fact
 quite volatile, and it can give false signal about the future of the
 economy. Yet we should not ignore the link between the stock market
 and the economy.
Figure 5.6: The stock market and the economy
Investment and the Stock Market
 Q: Why do stock prices and economic activity tend to fluctuate
together?
 A: (i) Tobins  theory
 For instance, suppose that you observe a fall in the stock prices.
 Because the replacement cost of capital is fairly stable, a fall in the
 stock market is usually associated with a fall in Tobins q. A fall in
 Tobins q reflects investors pessimism about the current and future
 profitability of capital, meaning that the investment function shifts
 inward: investment is lower at any given interest rate. As a result,
 the AD for goods and services contracts, leading to lower output and
 employment.
Investment and the Stock Market
 (ii) Because stock is part of household wealth, a fall in stock prices
 makes people poorer and thus depresses consumer spending, which
 also reduces AD.
 (iii) A fall in stock prices might reflect bad news about technological
 progress and long-run economic growth. If so, this means that the
 natural level of output  and thus AS  will be growing more slowly in
 the future than it was previously expected.
Investment and the Stock Market
 The stock market is a closely watched economic indicator. A case in
 point is the deep economic downturn in 2008 and 2009:
 the substantial declines in production and employment coincided
 with a steep decline in stock prices.
Inventory Investment
 Inventory investment (the goods that businesses put aside in storage)
 is negligible and of great significance. It is one of the smallest
 components of spending, averaging 1 percent of GDP. Yet its
 remarkable volatility makes it central to the study of economic
 fluctuations. In a typical recession, more than half the fall in spending
 comes from a decline in inventory investment.
 Q: Why do businesses hold inventories?
 A: Inventories serve many purposes.
Inventory Investment
 (i) Production smoothing
 One use of inventories is to smooth the level of production over time.
 When a firm experiences temporary booms and busts in sales, it may
 find it cheaper to produce goods at a steady rate rather than
 adjusting production to match the fluctuations in sales. When sales
 are low, the firm produces more than it sells and puts the extra goods
 into inventory. When sales are high, the firm produces less than it
 sells and takes goods out of inventory.
Inventory Investment
 (ii) Inventories as a factor of production: the larger the stock of
 inventories a firm holds, the more output it can produce.
 Inventories may allow a firm to operate more efficiently.
 For example, manufacturing firms keep inventories of spare parts to
 reduce the time that the assembly line is shut down when a machine
 breaks.
 (iii) Stock-out avoidance: avoid running out of goods when sales are
 unexpectedly high.
 If demand exceeds production and there are no inventories, the good
 will be out of stock for a period, and the firm will lose sales and profit.
 Inventories can prevent this from happening.
Inventory Investment
 (iv) Work-in-process
 Many goods require a number of production steps and, therefore,
 take time to produce. When a product is only partly completed, its
 components are counted as part of a firms inventory.
Inventory Investment
 Q: How do the real interest rate and credit conditions affect inventory
 investment?
 A: (i) Inventory investment depends on the real interest rate.
 When a firm holds a good inventory and sells it tomorrow rather than
 selling it today, it gives up the interest it could have earned between
 today and tomorrow. Thus, the real interest rate measures the
 opportunity cost of holding inventories. When the real interest rate
 rises, holding inventories becomes more costly, so rational firms try
 to reduce their stock.
Inventory Investment
 Therefore, an increase in the real interest rate depresses inventory
 investment. For example, in the 1980s many firms adopted just-in time production plans, which were designed to reduce the amount
 of inventory by producing goods just before sale.
 (ii) Inventory investment also depends on credit conditions. Because
 many firms rely on bank loans to finance their purchases of
 inventories, they cut back when these loans are hard to come by.
Inventory Investment
 For instance, during the financial crisis of 2008  2009, firms reduced
 their inventory holdings substantially. During this severe recession, as
 in many economic downturns, the decline in inventory investment
 was a key part of the decline in AD.
The Goods Market and the IS Relation
Summary of the Goods Market:
 production   demand , called the IS relation
  =   +    +   + ,
where I, G, TR and T were taken as given.
We considered the factors that moved equilibrium output; we looked
at the effects of changes in G and of shifts in consumption demand.
 The main simplification of this first model was that the interest rate
 did not affect demand for goods. Our first task in this note is to
 abandon this simplification and introduce the interest rate in the
 model of equilibrium in the goods market.
Investment (I)
  5.12 :  =  ,    =  +      where 0 , 1 , 2 > 0.
+ 
 Y = the level of sales = production, assuming that inventory
 investment is zero,
 i = the (nominal) interest rate,
 1 measures the responsiveness of investment spending to income,
 2 measures the responsiveness of investment spending to the
 interest rate,
 and 0 denotes autonomous investment spending that is
 independent of both income and the interest rate.
Investment (I)
  5.12 :  =  ,  or  = 0 + 1   2 
+,
 The higher the interest rate, the less attractive a firm is to borrow and
 invest since the interest rate is the cost of borrowing to finance
 investment projects. At a high enough interest rate, the additional
 profits from using the new machine will not cover interest payment
 and the new machine will not be worth buying.
Investment (I)
  5.12 :  =  ,  or  = 0 + 1   2 
+,
 Q: What determines the position of the investment curve?
 A: The position of the investment curve is determined by the slope
  and by the level of autonomous investment spending  .
 If investment is highly responsive - 2 is large  to the interest rate,
 a small decline in interest rates will lead to a large increase in
 investment, so the investment curve is almost flat.
 Conversely, if investment responds little to interest rate,
 the investment curve will be relatively steep.
Investment (I)
 Changes in autonomous investment spending 0 shift the
 investment line.
 An increase in 0 means that at each level of the interest rate, firms
 plan to invest at a higher rate. This means a rightward shift of the
 investment line.
Determination of Output
  5.13 :  =      =   +    +  ,  + 
   income  and so    
    .
 In short,   ( )  through its effect on both consumption
 and investment.
 This relation between demand and output, for a given interest rate,
 is represented by the upward-sloping curve ZZ.
Deriving the IS Curve
 The initial equilibrium is at point A.             
  The demand curve  shifts down to   : At a given level of
 output, demand is lower.
  The new equilibrium is at point  .
 The equilibrium level of output is now equal to 2 .
Deriving the IS Curve
 In words: The increase in the interest rate decreases investment.
 The decrease in investment leads to a decrease in output, which
 further decreases consumption and investment, through the
 multiplier effect.
 In essence, the IS curve combines the interaction between  ( )
 and  expressed by the investment function and the interaction
 between  and  demonstrated by the Keynesian cross.
Figure 5.6: The Derivation of IS Curve
The IS Curve
 The IS curve shows the combination of the interest rate and
 the equilibrium level of income in the goods market.
 An increase (a decrease) in i leads to a fall (or a rise) in Y: IS curve is
 downward sloping  i and the equilibrium output (Y) is negatively
 related. That is, the IS curve illustrates how the equilibrium level of
 income depends on the interest rate.
 The IS curve shows for any given interest rate the level of income that
 brings the goods market into equilibrium.
 Keep in mind that each point on the IS curve represents the
 equilibrium output in the goods market for the given interest rate.
The IS Curve
 Q: Why does the IS curve slope downward?
 A: Because an increase in the interest rate causes investment to fall,
 which in turn causes equilibrium income to fall, the IS curve slopes
 downward.
Mathematical Derivation of the IS Curve
 =   
  =  +  + 
  = 0 + 1  +    + 0 + 1   2  + 
   1 1     1  = 0 + 0 + 1  +   2 
 1  1 1    1  = 0 + 0 + 1  +   2 
  5.14 :  =
1
11 1 1
0 + 0 + 1  +  
11 1 1
1
1  1 1    1
  5.14 :  =
0 + 0 + 1  +  
2
2
 Meaning: The IS curve gives all the combination of  and  that cause
 the market for goods to clear (i.e. to be in equilibrium).