16-1 Consumption The theory of consumption was developed by Milton Friedman in the 1950s, who called it the permanent income theory of consumption, and by Franco Modigliani, who called it the life cycle theory of consumption.

16-1 Consumption The Very Foresighted Consumer A very foresighted consumer who decides how much to consume based on the value of his total wealth, which comprises: The value of his nonhuman wealth, or the sum of financial wealth and housing wealth. The value of his human wealth and nonhuman wealth together gives an estimate of his total wealth.

Up Close and Personal: Learning from Panel Data Sets Panel data sets are data sets that show the value of one or more variables for many individuals or many firms over time. Among the many questions for which the Panel Study of Income Dynamics (PSID) has been used are: How much does (food) consumption respond to transitory movements in income—for example, to the loss of income from becoming unemployed? How much risk sharing is there within families? For example, when a family member becomes sick or unemployed, how much help does he or she get from other family members? How much do people care about staying geographically close to their families?

16-1 Consumption An Example Building on what you saw in Chapter 14, let’s compute the present value of your labor income as the value of real expected after-tax labor income, discounted using real interest rates. Your wealth today, the expected value of your lifetime after-tax labor income, is around $2 million.

16-1 Consumption 利用拉格朗日乘数法，即得

16-1 Consumption Toward a More Realistic Description The constant level of consumption that a consumer can afford equals his total wealth divided by his expected remaining life. Consumption depends not only on total wealth but also on current income.(?) real labor income in year t. real taxes in year t. human wealth, or the expected present value of after-tax labor income

16-1 Consumption Toward a More Realistic Description In words: Consumption is an increasing function of total wealth, and also an increasing function after-tax labor income. Total wealth is the sum of nonhuman wealth – financial wealth plus housing wealth – and human wealth – the present value of expected after-tax income.

16-1 Consumption Expectations affect consumption in two ways: Putting Things Together: Current Income, Expectations, and Consumption Expectations affect consumption in two ways: Directly through human wealth, or expectations of future labor income, real interest rates, and taxes. Indirectly through nonhuman wealth - stocks, bonds, and housing. Expectations of the value of nonhuman wealth is computed by financial markets.

Do People Save Enough for Retirement? Table 1 Mean Wealth of People, Age 65-69, in 1991 (in thousands of 1991 dollars) Social Security Pension $100 Employer-provided pension 62 Personal retirement assets 11 Other financial assets 42 Home equity 65 Other equity 34 Total $314

16-1 Consumption Putting Things Together: Current Income, Expectations, and Consumption This dependence of consumption on expectations has two main implications for the relation between consumption and income: Consumption is likely to respond less than one for one to fluctuations in current income. Consumption may move even if current income does not change.

16-2 Investment Investment decisions depend on current sales, the current real interest rate, and on expectations of the future. The decision to buy a machine depends on the present value of the profits the firm can expect from having this machine versus the cost of buying it.

16-2 Investment Investment and Expectations of Profit Depreciation The depreciation rate, , measures how much usefulness the machine from one year to the next. Reasonable values for  are between 4 and 15% for machines, and between 2 and 4% for buildings and factories.

16-2 Investment The Present Value of Expected Profits V(et): The present value, in year t, of expected profit in year t+1 equals: In year t+2, In year t,

16-2 Investment The Present Value of Expected Profits Figure 16 - 1 Computing the Present Value of Expected Profits Figure 16 - 1

16-2 Investment The Investment Decision Denote It as aggregate investment, t as profit per machine (or per unit of capital) for the economy as a whole, and V(et) as the expected present value of profit per unit of capital. This yields the investment function: In words: Investment depends positively on the expected present value of future profits (per unit of capital). The higher the current or expected profits, the higher the expected present value and the higher the level of investment. The higher the current or expected real interest rates, the lower the expected present value, and thus the lower the level of investment.

Investment and the Stock Market Tobin’s q denotes the variable corresponding to the value of a unit of capital in place relative to its purchase price. Figure 1 Tobin’s q versus the Ratio of Investment to Capital: Annual Rates of Change, 1960 to 1999

16-2 Investment A Convenient Special Case Suppose firms expect both future profits and future interest rates to remain at the same level as today, so that and Economists call such expectations – expectations that the future will be like the present –static expectations. Under these two assumptions, we get

16-2 Investment A Convenient Special Case Putting and together give us an equation for investment: The sum of the real interest rate and the depreciation rate is called the user cost or the rental cost of capital. Therefore: Rental Cost =

16-2 Investment Current versus Expected Profit Some of the reasons we used to explain the behavior of consumers also apply to firms: Firms may be reluctant to borrow if current profit is low. But if current profit is high, the firm may not need to borrow to finance its investments. Even if the firm wants to invest, it might have difficulty borrowing. Potential lenders may not be convinced the project is as good as the firms says. In words: Investment depends both on the expected present value of future profits and on the current level of profit.

16-2 Investment Current versus Expected Profit Figure 16 - 2 Changes in Investment and Changes in Profit in the United States since 1960 Figure 16 - 2 Investment and profit move very much together.

Profitability versus Cash Flow Profitability refers to the expected present discounted value of profits. Cash flow refers to current profit, or the net flow of cash the firm is receiving. Both profitability and cash flow are important for investment decisions, and are likely to move together.

16-2 Investment Profit and Sales ( + ) Figure 16 - 3 Changes in Profit per Unit of Capital versus Changes in the Ratio of Output to Capital in the United States since 1960 Figure 16 - 3 ( + ) Profit per unit of capital and the ratio of output to capital move largely together.

16-3 The Volatility of Consumption and Investment Let’s look at the similarities between our treatment of consumption and of investment behavior: Whether consumers perceive current movements in income to be transitory or permanent affects their consumption decisions. In the same way, whether firms perceive current movements in sales to be transitory or permanent affects their investment decisions.

16-3 The Volatility of Consumption and Investment But there are also important differences between consumption decisions and investment decisions: When faced with an increase in income that consumers perceive as permanent, they respond with at most an equal increase in consumption. When firms are faced with an increase in sales they believe to be permanent, their present value of expected profits increases, leading to an increase in investment.

16-3 The Volatility of Consumption and Investment Rates of Change of Consumption and Investment since 1960 Figure 16 - 4 Relative movements in investment are much larger than relative movements in consumption.

16-3 The Volatility of Consumption and Investment The figure yields three conclusions: Consumption and investment usually move together. Investment is much more volatile than consumption. Because, however, the level of investment is much smaller than the level of consumption, changes in investment from one year to the next end up being of the same overall magnitude as changes in consumption.

permanent income theory of consumption Key Terms permanent income theory of consumption life cycle theory of consumption financial wealth housing wealth human wealth nonhuman wealth total wealth panel data sets Tobin’s q static expectations user cost of capital, or rental cost of capital profitability cash flow