Five Ways to Compute the Relative Value of a UK Pound Amount, 1270 to Present
Often one knows the price, cost, or value of something in a particular ("original") year, and one wants to know the value of this money amount in another ("desired") year. There are many contexts in which such a computation might be performed. Examples include: the determination of the appropriate level of deferred compensation in a legal case, updating the price of a commodity fifty years earlier, and assessment of government expenditure on health care in one year relative to another. There is no single "correct" measure, and economic historians use one or more different indices depending on the context of the question.
This comparator performs such computations for amounts in U.K. currency. The technique is as follows: (1) select a general measure of price, income, or output, and (2) multiply the money amount by the desired-year/original-year ratio of the measure. The resulting, "updated", monetary amount may be termed the "relative value" of the original amount.
The measure often used is the price of a "bundle" of goods and services that a representative group of consumers buys or earns. In the U.K. that measure is usually taken to be the "retail price index" (RPI), which corresponds to what is called the "consumer price index" in other countries.
However, there are problems with the RPI as a measure. One problem is that the bundle changes over time. For example, carriages are replaced with automobiles, and new goods and services are created (such as personal computers, cellular phones, and heart transplants). Another problem is that the RPI is oriented solely to what is purchased by households and omits business investments or government expenditures. Perhaps most important, the context of the monetary amount may lead to a measure preferable to the RPI. It is a fair statement that the RPI is used far too often without consideration of its consequences.This website presents four additional indices besides the RPI. It also suggests that using each of these indices can be defined in more than one way, depending on the type of thing you are comparing.
Prior to February 15, 1971 ("Decimal day," or "D-day"), monetary
amounts in the U.K. were expressed as pounds (£), shillings
(s.), and pence (d.), where £1 = 20s. = 240d. After 1970, there
were 100 pennies in a pound, so one (new) penny = 2.4 old pence.
All numbers should be entered in decimal rather than fractional
form (for example, 1.5 rather than 1 1/2).
The Five Indices Used
Defining the Measures
The measures of relative value presented here are computed using the ratio of the change in the indices listed above. Your initial amount is multiplied by the observed value of each index from the desired year divided by the observed value from the initial year.
The best measure of the relative value over time depends on the type of
thing you wish to compare.
If you are looking at a Commodity, then the best measures are:
Real Price is measured as the relative cost of a (fixed over time) bundle of goods and services such as food, shelter, clothing, etc., that an average household would buy. In theory the size of this bundle does not change over time, but in practice adjustments are made to its composition. This measure uses the RPI.
Labour Value is measured as the multiple of the average wage that a worker would need to use to buy the commodity. This measure uses one of the wage indices.
Income Value is measured as the multiple of average income that would be needed to buy a commodity. This measure uses the index of GDP per capita.
Economic Share is the worth of a commodity in a particular time period divided by GDP; it is its share of total output. This is helpful in measuring the relative value of aggregate consumption items such as all the cars made in a year.
If you are looking at an Income or Wealth, then the best measures are:
Real Wage or Real Wealth measures the purchasing power of an income or wealth by its relative ability to buy a (fixed over time) bundle of goods and services such as food, shelter, clothing, etc. This bundle does (in theory) not change over time. This measure uses the RPI.
Relative Labor Earnings measures an amount of income or wealth relative to the wage of the average worker. This measure uses one of the wage indices.
Relative Income measures an amount of income or wealth relative to per capita GDP. When compared to other incomes or wealth, it shows the economic status or relative "prestige value" the owners of this income or wealth because of their rank in the income distribution. This measure uses GDP per capita.
Relative Output measures the amount of income or wealth relative to the total output of the economy. When compared to other incomes or wealth, it shows the relative "influence" of the owner of this income or wealth has in controlling the composition or total-amount of production in the economy. This measure uses the share of GDP.
If you are looking at a Project, then the best measures are:
Real Cost of a project is measured by comparing its cost to the cost index of all output in the economy. This measure uses the GDP Deflator.
Labor Cost of a project is measured as a multiple of the average wage of the workers that might be used to build the project. This measure uses one of the wage indices.
Economy Cost of a project is measured as the cost of the project as a percent of the output of the economy. This measure indicates the opportunity cost in terms of the total output of the economy. It can be interpreted as the importance of the item to society as a whole. This measure uses the share of GDP.
Here Are Some Examples
Cost of Big Ben: "Big Ben" was the name commonly used to refer to the clock at the top of the clock tower of the Houses of Parliament (Westminster Palace) in London. The tower was renamed Elizabeth Tower in the summer of 2012. It is also conventionally considered to be the name of the clock tower itself. Both usages are incorrect. The clock is properly termed "the Great Clock," and the tower "St. Stephen's Tower" or "the Clock Tower." Rather, "Big Ben" is the name of the giant bell weighing almost 14 tons that hangs in the Clock Tower and strikes on the hour. In fact, "Big Ben" is sometimes called "the Great Bell." The name "Big Ben" is generally considered to emanate from Sir Benjamin Hall, a large man, who was Commissioner of Works at the time the bell was constructed. Another theory is that "Big Ben" was the nickname of a contemporary heavyweight boxer, Benjamin Caunt, and it was later applied to the bell. Actually, the name "Big Ben" denoted an earlier bell, cast by John Warner and Sons in 1856, that cracked. The Whitechapel Bell Foundry recast the bell in 1858 using the metal from the original bell, and the name "Big Ben" was retained.
The gross charge for casting the bell was £2,401; but the value of the metal obtained from the earlier bell was £1,829. So the net cost, and the invoice submitted on May 28, 1858, was only £572. The real cost of that net amount in 2017 was £61,950; a definition that would make more sense would be the labour cost and that would be £403,200; while the economy cost would be £1.6 million. For relative values of the gross cost, the figures would be increased more than fourfold.
Borrowing to Purchase Shares of Suez Canal Company: In 1875 the government of Prime Minister Benjamin Disraeli borrowed £4 million from the House of Rothschild, enabling Great Britain to purchase 176,602 shares (out of 400,000 total shares) of the Suez Canal Company from the financially strapped ruler of Egypt. This transaction gave Britain ownership of 44 percent of the Company and, more important, the pretext to invade Egypt in 1882 and incorporate the country into the British Empire. It is interesting that the Rothschilds had some years earlier refused to be involved in financing the Suez Canal project. When Disraeli's private secretary, Montagu Corry, was sent as an emissary to Lionel Rothschild to request the loan of £4 million "tomorrow," Rothschild asked, "What is your security?" Corry replied "The British Government," and Rothschild responded: "You shall have it." Though this account (based on Corry's recollection) is no doubt correct, it is misleading in suggesting that the Rothschilds were surprised by the request. In fact, there is reason to believe that Disraeli had discussed the matter previously with Lionel Rothschild.
The Real Cost in 2017 of the £4 million borrowing is £358 million, however, this would be inappropriate definition to use. The Economy Cost ,or the share of GDP, would be £6.5 billion. Given the implication of the purchase for the British Empire, relative values do not appear unduly high.
Cost of World War I: The effect of World War I (also known as "the Great War") on Great Britain was disastrous. The human, physical, and financial losses of the country were immense. For the fiscal year April 1, 1917–March 30, 1918, the war expenditures of Great Britain have been estimated as £2.5 billion, or 60% of the annual GDP. Taking this amount to apply to the calendar year 1917, the last full year of the war, the comparator yields an economy cost (i.e. the share of GDP) of £1,212 billion measured in pounds of a 100 years later.
Earnings of Barristers and Physicians: A "rising barrister" in 1850 could have an annual income of £5,000. The 2017 relative value of these earnings is £508,200 via the RPI and we call that the real wage. The barrister's earnings relative to average earnings was certainly greater in 1850 than today; for the 2017 income value was £6,232,000. In comparison, "a doctor with a fairly fashionable practice" might earn £1000-£2000 in 1850 versus the £5000 of the barrister. Relative values for a physician's income would correspondingly be 20-40 percent of those of the barrister.
Stipend of Archbishop of Canterbury: In 1896 the Archbishop of Canterbury received a stipend of £15,000 annually. The relative values of this amount in 2017 are substantial. Looking at the four measures to compare an income, we see that in the economy today, he had a real wage of £1.65 million to buy goods and services. Compared to the average worker he had real earnings of £6.24 million, and a relative income of £10.6 million. Finally, his economic power would be £19.28 million.
Price of Tea: In 1870 "normal working-class quality" tea sold at 3s. 4d. per pound-weight. In 1889 Lipton tea was offered at "the phenomenally low price" of 1s. 7d. per pound. Neither price can be construed as low, according to relative values in 2017. The 1870 and 1889 real price was £15.19, and £8.30, while the labour value was 94.27,and £37.06, and the income value was £128.90, and £57.75.
Price of Daily Mail: The first mass-circulation newspaper for the general public was the Daily Mail, which began in 1896 and sold for 1/2 d. (old pence). The corresponding real price and labour value of this amount in 2017 is 23, 87 (new) pence.
*In these examples, we use the convention that a billion is 1,000 million.
http://www.londonnet.co.uk/ln/guide/about/gallbigb.html, http://www.parliament.uk/faq/history___buliding_faq_page.cfm, http://www.britainusa.com/faq/showfaq.asp?SID=293, http://www.en.wikipedia.org/wiki/Big_Ben
Niall Ferguson, The World's Banker: The History of the House of Rothschild. London: Weidenfeld & Nicolson, 1998, pp. 820-821; Hugh J. Schonfield, The Suez Canal in Peace and War, 1869‑1969. Coral Gables, FL: University of Miami Press, rev. ed., 1969, pp. 35, 47.
World War I
Edwin R. A. Seligman, "The Cost of the War and How It Was Met." American Economic Review, vol. 9, no. 4 (December 1919), p. 749.
Barristers and Physicians
John Burnett, A History of the Cost of Living. Harmondsworth, Middlesex, England: Penguin, 1969, p. 233.
Archbishop of Canterbury
Peter Wilsher, The Pound in Your Pocket, 1870‑1970. London: Cassell, 1970, p. 79.
Wilsher, p. 28; Burnett, p. 213.
Wilsher, p. 74.
"Five Ways to Compute the Relative Value of a U.K. Dollar Amount, 1270 to present," MeasuringWorth, 2020.
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