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</html>";s:4:"text";s:7466:"By the end of this section, you will be able to: When examining economic statistics, there is a crucial distinction worth emphasizing. Suppose the t-shirt company, Coolshirts, sells 10 t-shirts at a price of $9 each. Fortunately, it is quite simple to convert nominal rates to real rates, or vice versa, as long as you know the inflation rate. It is called the base year (or base period). So for wage earners as consumers, an appropriate way to measure real wages (the buying power of wages) is to divide the nominal wage (after-tax) by the growth factor in the CPI. Using data from [link] how much of the nominal GDP growth from 1980 to 1990 was real GDP and how much was inflation? [link] shows that the price level has risen dramatically since 1960. Step 3. There are a couple things to notice here. The formula used is: Rearranging the formula and using the data from 2005: Comparing real GDP and nominal GDP for 2005, you see they are the same. Economists calculate this change in the value of money using the Consumer Price Index, or CPI, which grants extra weight to the changing prices of the economy's more significant items. [link] shows U.S. GDP at five-year intervals since 1960 in nominal dollars; that is, GDP measured using the actual market prices prevailing in each stated year. The reason for this should be clear: The value of nominal GDP is “inflated” by inflation. [link] shows the U.S. nominal and real GDP since 1960. Would your answer be the same for the 1970s? This can be easily done, using the GDP deflator. So, nominal interest rates are what we usually see, but real interest rates are what we are ultimately interested in. It is because 2005 has been chosen as the “base year” in this example. OpenStax CNX. In which years would it have been better to be a bank lending money? To convert nominal economic data from several different years into real, inflation-adjusted data, the starting point is to choose a base year arbitrarily and then use a price index to convert the measurements so that they are measured in the money prevailing in the base year. [link] provides a list of the mortgage interest rate being charged for several different years and the rate of inflation for each of those years. That is why real GDP is labeled “Constant Dollars” or “2005 Dollars,” which means that real GDP is constructed using prices that existed in 2005. There is a quicker way to answer this question approximately, using another math trick. The calculations and the results are shown in [link]. If an unwary analyst compared nominal GDP in 1960 to nominal GDP in 2010, it might appear that national output had risen by a factor of twenty-seven over this time (that is, GDP of $14,958 billion in 2010 divided by GDP of $543 billion in 1960). Real Pricez = (Nominal Pricez) x (Adjustment Factor) The adjustment factor is formed using the CPI measures Real Pricez = (Nominal Pricez) x (CPIbase year / CPIz) Here we use the nominal price of 1980 milk ($1.29) and adjust them to the 2000 dollars in order to allow me to directly compare them. For more accurate measures, one should use the first formula shown. Look at [link], to see that, in 1960, nominal GDP was $543.3 billion and the price index (GDP deflator) was 19.0. First adjust the price index: 19 divided by 100 = 0.19. 188.9 / 130.7 * 1.16 = $1.68 To calculate the real GDP in 1960, use the formula: We’ll do this in two parts to make it clear. Every month, the U.S. Bureau of Labor Statistics publishes a new CPI figure, which can be used to calculate the real value of a dollar at a point in time. The real value refers to the same statistic after it has been adjusted for inflation. Recall that nominal GDP is defined as the quantity of every good or service produced multiplied by the price at which it was sold, summed up for all goods and services. Comparing real GDP and nominal GDP for 2005, you see they are the same. Enter the nominal US$ amount of which you wish to determine the real value in the text field next to "Amount" (without thousands separator, and with a dot separator for decimals if applicable). This data is also reflected in the graph shown in [link]. The “prime” interest rate is the rate that banks charge their best customers. In other words, when we compute “real” measurements we are trying to get at actual quantities, in this case, 10 t-shirts. So about 57% of the growth 51 / (51 + 39) was inflation, and the remainder: 39 / (51 + 39) = 43% was growth in real GDP. The calculation of the real wage is similar to the calculation of real GDP, only using a different set of variables. Step 1. Continue using this formula to calculate all of the real GDP values from 1960 through 2010. What is the difference between a series of economic data over time measured in nominal terms versus the same data series over time measured in real terms? Let’s look at an example at the micro level. This is no accident. Khan Academy is a 501(c)(3) nonprofit organization. The distinction is between nominal and real measurements, which refer to whether or not inflation has distorted a given statistic. What is needed is to extract the increase in prices from nominal GDP so as to measure only changes in output. To convert nominal value to real values the formula is Nominal/Deflator x 100. The nominal value of any economic statistic means the statistic is measured in terms of actual prices that exist at the time. When we calculate real GDP, for example, we take the quantities of goods and services produced in each year (for example, 1960 or 1973) and multiply them by their prices in the base year (in this case, 2005), so we get a measure of GDP that uses prices that do not change from year to year. Usually, we convert forward to the more recent year. To find the real growth rate, we apply the formula for percentage change: In other words, the U.S. economy has increased real production of goods and services by nearly a factor of four since 1960. Using the price index growth factor as a divisor for converting a nominal value into a real value, ... (CPI) is applicable to consumers. We start with the same formula as above: For reasons that will be explained in more detail below, mathematically, a price index is a two-digit decimal number like 1.00 or 0.85 or 1.25. The nominal data series is simply the data measured in current dollars and gathered by a government or private survey. Based on the nominal interest rates and inflation rates given in [link], in which of the years given would it have been best to be a lender? Since the price index in the base year always has a value of 100 (by definition), nominal and real GDP are always the same in the base year. GDP deflator is a price index measuring the average prices of all goods and services included in the economy. Because some people have trouble working with decimals, when the price index is published, it has traditionally been multiplied by 100 to get integer numbers like 100, 85, or 125. It is possible to use the data in [link] to compute real GDP. Generally, it is the real value that is more important. To convert from nominal interest rates to real interest rates, we use the following formula: real interest rate ≈ nominal interest rate − inflation rate. Since the price index in the base year always has a value of 100 (by definition), nominal and real GDP are always the same in the base year. 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