| http-equiv="Content-Type" content="text/html; | | | | 1990 |
| charset=utf-8"> | | | | 566.238 |
| I. INTRODUCTION: | | | | 566.238 |
| This is a study that focuses on the relationship | | | | 1.1108 |
| that exist between the interest rates that prevail | | | | 477.138 |
| in an economy and the amount of money | | | | 1991 |
| demanded in an economy, the intuition is that | | | | 548.532 |
| when interest rates are high then we expect that | | | | 581.897 |
| the amount of money demanded in the economy | | | | 1.0992 |
| will be less, this is because interests rate is the | | | | 504.133 |
| opportunity cost of holding money and therefore | | | | 1992 |
| when there are high interest rates then less | | | | 549.543 |
| money will be demanded. | | | | 605.295 |
| When interest rates are high the opportunity | | | | 1.0912 |
| costs of borrowed funds is too high and | | | | 517.883 |
| therefore less of it is demanded. When interest | | | | 1993 |
| rates are low then people will demand more | | | | 561.346 |
| money in an economy. Government will therefore | | | | 638.4 |
| use interest rates as a tool to stabilise the | | | | 1.0787 |
| economy in case of inflation caused by excess | | | | 544.055 |
| demand. | | | | 1994 |
| Various theories exist to explain the factors that | | | | 580.092 |
| determine the demand for money, this include the | | | | 675.164 |
| Keynesian demand for money theory, Milton | | | | 1.0805 |
| Friedman’s quantity demand for money | | | | 567.157 |
| theory, Tobin’s liquidity preference theory | | | | [4] |
| and the Fisher’s money theory. | | | | The data provided above can be graphically |
| In this study we will use UK data from the year | | | | illustrated as shown in diagram one below |
| 1984 to the year 1994 to analyse the relationship | | | | Diagram one |
| that exist between the money supply and the | | | | From the graph in diagram one the interest rates |
| interest rates that prevail in the economy, the | | | | have declined over the years. |
| data will be used to estimate the equation Md = F | | | | Money demanded over the years is indicated |
| (IR) where Md is the money demanded in an | | | | graphically in diagram two below |
| economy, and IR is the interest rate. Therefore | | | | Diagram two |
| the model states that money demand is a | | | | From the graph the money demanded has |
| function of interest rates. | | | | increased over the years. |
| II. UNDERLYING THEORIES: | | | | § Model specification: |
| Many theories have come up to explain the | | | | Our first assumption is that money supply is |
| factors that determine demand for money in the | | | | equals to the money demanded that is to say |
| economy; they include the Keynes theory, the | | | | that Md = Ms, our model is specified as Md= F |
| Milton theory and the Fishers theory of money. All | | | | (IR), therefore we expect that the model will |
| this scholars recognise the effect of changes in | | | | take the form of Md = B + IR x where B will the |
| interest rates on money demanded.a. Keynes | | | | autonomous money demanded and x is the |
| theory | | | | measure of the effect of interest on money |
| Keynes argued that money demand in an | | | | demanded. We will assume that only interest |
| economy is determined by three factors, the | | | | rates will determine the amount of money |
| precautionally demand for money, liquidity | | | | demanded in the economy, we shall therefore run |
| preference and the speculative demand for | | | | the regression that will determine the relationship |
| money. The amount held by firms and individuals | | | | between the money demanded and interest |
| depend on the level of income and the institutional | | | | rates.[5] |
| arrangements of the economy, they will hold | | | | § Estimation of the model: |
| money for their day to day transactions in order | | | | We will use the classical estimation model to |
| to purchase goods and services. | | | | estimate the model, the classical regression model |
| § Precautionally demand for money | | | | states that when the model takes the form of |
| The precautionally demand for money arises from | | | | Y= α + β x, then you estimate the |
| uncertainties of life and unseen events, the | | | | model as follows: |
| amount held will depend on the level of income, | | | | α = Y- β x, and that |
| the higher the level of income the higher the | | | | β = n ∑x y - ∑ x∑ y |
| amount held for precautionally purposes, the | | | | ______________n ∑ x2 - (∑ |
| prevailing interest rates will also determine the | | | | x) 2 |
| amount held for precautionally purposes, because | | | | |
| the interest rates are the opportunity costs of | | | | Where n is the number of observations and |
| holding money the higher they are the less is the | | | | therefore we estimate our model using the data |
| amount held. | | | | provided, our y will be the money demand Md and |
| Institutional arrangement will also determine the | | | | x will be our interest rates IR, we therefore |
| amount held in that if an economy provides | | | | obtain our products for x and y, and x2 . Our |
| certain services such free medical care the less | | | | results are shown in table two.[6] |
| the amount held by the people for precautionally | | | | Table twoxyxyx2 |
| purposes. | | | | YEAR |
| § Speculative demand for money | | | | REAL DOMESTIC EXPEDITURE |
| This demand for money arises when the | | | | NOMINAL DOMESTIC EXPEDITURE |
| individuals and firms in an economy hold money | | | | INTEREST RATES |
| for the purpose of speculation, money is | | | | MEASURE OF MONEY HOLDINGS |
| therefore held as an asset and therefore they will | | | | |
| hold money for the purpose of purchasing other | | | | |
| interest bearing assets. The amount held for | | | | 1984 |
| speculation purposes depend on the level of | | | | 450.949 |
| interest rates and the level of income. | | | | 326.498 |
| § Liquidity preference | | | | 1.1069 |
| This demand will arise from the fact that people | | | | 198.93 |
| and firms will hold money for the purpose of their | | | | 220.19562 |
| day to day transactions; they will hold money to | | | | 1.225228 |
| purchase goods and services.[1]b. | | | | 1985 |
| Friedman’s theory | | | | 464.316 |
| According to Friedman sees money as just | | | | 354.291 |
| another way in which wealth can be held, he | | | | 1.1062 |
| assumes that money is like any other asset. He | | | | 224.794 |
| argued that the demand of money is determined | | | | 248.66712 |
| by the total wealth of an individual, the expected | | | | 1.223678 |
| rate of interest, the ratio of human to non human | | | | 1986 |
| wealth and the taste and preferences of people in | | | | 487.33 |
| an economy. | | | | 388.179 |
| He derived the following model | | | | 1.0987 |
| Real demand for money = F (W, r, w, T) | | | | 258.304 |
| Where: | | | | 283.7986 |
| W is the total wealth of an individual, as W | | | | 1.207142 |
| increases the demand for money also increases.r | | | | 1987 |
| is the expected rate of interest, as the rate of | | | | 513.083 |
| interest rate increases the less is the amount of | | | | 428.721 |
| money demanded.w is the ratio of human and | | | | 1.0947 |
| non human wealth, human wealth is less liquid than | | | | 304.948 |
| any other form of wealth so an increase in the | | | | 333.82658 |
| liquidity of human wealth will increase the amount | | | | 1.198368 |
| of money demanded. | | | | 1988 |
| T is the taste and preferences, institutional | | | | 553.461 |
| arrangements and the culture of the people in an | | | | 488.953 |
| economy.[2] | | | | 1.0936 |
| Therefore the two scholars recognise the | | | | 358.233 |
| relationship between the rate of interest and the | | | | 391.76361 |
| amount of money demanded. We therefore now | | | | 1.195961 |
| establish the relationship between them using the | | | | 1989 |
| data from the UK economy from the year 1984 | | | | 569.719 |
| to the year 1994. We shall use this data to | | | | 537.279 |
| estimate the equation Md = F (IR) where Md is | | | | 1.0958 |
| the money demanded in an economy, and IR is | | | | 426.322 |
| the interest rate. | | | | 467.16365 |
| III. MODEL SPECIFICATION AND ESTIMATION: | | | | 1.200778 |
| § Data[3] | | | | 1990 |
| Table one. | | | | 566.238 |
| Data for the UK from the year 1984 to1994: | | | | 566.238 |
| amount in million pounds | | | | 1.1108 |
| YEAR | | | | 477.138 |
| REAL DOMESTIC EXPEDITURE | | | | 530.00489 |
| NOMINAL DOMESTIC EXPEDITURE | | | | 1.233877 |
| INTEREST RATES | | | | 1991 |
| MEASURE OF MONEY HOLDINGS | | | | 548.532 |
| 1984 | | | | 581.897 |
| 450.949 | | | | 1.0992 |
| 326.498 | | | | 504.133 |
| 1.1069 | | | | 554.14299 |
| 198.93 | | | | 1.208241 |
| 1985 | | | | 1992 |
| 464.316 | | | | 549.543 |
| 354.291 | | | | 605.295 |
| 1.1062 | | | | 1.0912 |
| 224.794 | | | | 517.883 |
| 1986 | | | | 565.11393 |
| 487.33 | | | | 1.190717 |
| 388.179 | | | | 1993 |
| 1.0987 | | | | 561.346 |
| 258.304 | | | | 638.4 |
| 1987 | | | | 1.0787 |
| 513.083 | | | | 544.055 |
| 428.721 | | | | 586.87213 |
| 1.0947 | | | | 1.163594 |
| 304.948 | | | | 1994 |
| 1988 | | | | 580.092 |
| 553.461 | | | | 675.164 |
| 488.953 | | | | 1.0805 |
| 1.0936 | | | | 567.157 |
| 358.233 | | | | 612.81314 |
| 1989 | | | | 1.16748total |
| 569.719 | | | | 12.0563 |
| 537.279 | | | | 4381.897 |
| 1.0958 | | | | 4794. |
| 426.322 | | | | |