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# Money and Financial Assets Review for AP Economics (page 2)

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By — McGraw-Hill Professional
Updated on Mar 2, 2011

### Present Value and Future Value

Many decisions in life involve paying upfront costs today with the promise of a payoff tomorrow or even years from now. Many of you are familiar with this trade-off because you were told by a parent that, "If you finish eating your vegetables, you can watch TV before bedtime"; or "If you wash the car, you can go to the movie with your friends." As you consider attending college, the same principle applies. The costs (tuition, books, etc.) are paid today; but the payoffs (marketable skills, useful knowledge, etc.) are received years from today. As the previous section illustrates, dollars today are worth more than future dollars; so there must be a way to convert present and future dollars to the same time period so that wise decisions can be made. The interest rate is the key.

Let's again assume that you are going to lend your friend \$100, and that he is going to pay you back in one year. We'll also assume that there is no inflation, so a 10 percent nominal interest rate is equal to the real interest rate. The opportunity cost of lending your friend \$100 is the interest you could have earned—\$10, after a year had passed. So the interest rate measures the cost to you of forgoing the use of that \$100. After all, you could have spent \$100 on clothing right now that would have provided immediate benefit to you. To see the relationship between dollars today (present value, or PV) and dollars one year from now (future value, or FV), a simple equation is applied:

FV = PV*(1 + r) or, using our example,
FV = \$100*(1.10) = \$110

In other words, one year into the future, that \$100 will be worth \$110. We can also rearrange our equation and solve for the present value PV:

PV = FV/(1 + r) and, using our example again,
PV = \$110/(1.10) = \$100

This tells us that \$110 a year from now is worth only \$100 in today's dollars. If you were lending the money for a period of two years,

FV = PV(1 + r)2 = \$100(1.10)*(1.10) = \$121

What does this all mean? It means that your friend, as a borrower, must pay you \$21 to compensate you for the fact that he has your \$100 for a period of two years. It also says that had you, as a saver, put the \$100 in the bank today, two years from now you would have \$121 to spend on goods and services. This implies that you would be completely indifferent to having \$100 in your hand today or \$121 two years from today. The differing sums are equivalent units of purchasing power, just measured at two different points in time; and it is the interest rate that equates the two.

• Money today is more valuable than the same amount of money in the future.
• The present value of \$1 received one year from now is \$1/(1 + r).
• The future value of \$1 invested today is \$1*(1+r).
• Interest paid on savings and interest charged on borrowing is designed to equate the value of dollars today with the value of future dollars.

### Supply of Money

At the core of monetary policy is regulation of the supply of money. Because our paper money is not backed by precious metals or crown jewels, we trust the government to keep the value of our money as stable as possible. This value is guaranteed by stabilizing the money supply, which is measured by the central bank as M1, M2 and M3, each of which is more broadly defined and less liquid than the previous one. Liquidity refers to how easily an asset can be converted to cash. A five-dollar bill, already being cash, is as liquid as it gets. A Van Gogh hidden in your attic is also an asset, but not a very liquid one.

• M1 = cash + coins + checking deposits + traveler's checks. M1 is the most liquid of money definitions.
• M2 = M1 + savings deposits + small (i.e., under \$100,000 certificates of deposit) time deposits + money market deposits + money market mutual funds. M2 is slightly less liquid because the holders of these assets would likely incur a penalty if they wished to immediately convert the asset to cash.
• M3 = M2 + large (over \$100,000) time deposits. M3 is even less liquid than M2 because the asset holder would have to wait longer to liquidate a CD or pay a large penalty.

At any given point in time, the supply of money is a constant. This implies that the current money supply curve is vertical. Because other measures of money supply are based upon the most liquid M1, when we discuss the money supply, we focus on M1. Insight gained from studying the expansion and contraction of M1 can be applied to M2 and M3.

" There are a couple of questions on this. Know what is included in each category." —Kristy, AP Student

### Demand for Money

People demand goods like cheese because cheese helps satisfy wants. People demand money because it facilitates the purchase of cheese and other goods. In addition to this transaction demand for money, people also demand money as an asset, just as a government bond or a share of Intel stock is an asset. We quickly look at demand for money as the sum of money demand for transactions and money demand as an asset.

Transaction Demand. As nominal GDP increases, consumers demand more money to buy goods and services. For a given price level, if output increases, more money is demanded. Or for a given level of output, if the price level rises, more money is demanded. If nominal GDP is \$1000 and each dollar is spent an average of four times each year, money demand for transactions would be \$1000/4 = \$250. If nominal GDP increases to \$1200, money demand for transactions increases to \$1200/4 = \$300. We assume that the nominal rate of interest does not affect transaction demand for money, so when plotted on a graph with the nominal interest rate on the y axis, it is a constant.

Asset Demand. Money can be held as an asset at very little risk. If you put money under your mattress, there is the advantage of knowing that a crashing stock market or real estate market does not diminish the value of this asset. The main disadvantage of putting this asset under your mattress is that it cannot earn you any interest. As the interest rate on bonds rises, the opportunity cost of holding money under your mattress begins to rise and so you are more likely to lessen your asset demand for money. At a lower interest rate on bonds, you are more likely to increase your asset demand for money.

Total Demand. Plotted against the nominal interest rate, the transaction demand for money is a constant MDt. Adding this constant amount of money needed to make transactions to a downward sloping asset demand for money (MDa) provides us with the total money demand curve. This is seen in Figure 16.1

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