A bond is a long-term debt obligation of a corporation that can generally be traded on
the market. When a company needs fund, it sells a bond. When it sells a bond, it is actually
borrowing money. Company commits itself to repay the money to bondholders with interest
payment on debt after a specific numbers of years. The face value of the bond and the interest
thereupon are usually stated on the face of the bond. Bond prices and interest rate are
inversely related to each other. In other words, bond prices and interest rate move in opposite
directions, i.e., when interest rate falls, bond prices increases
and when bond prices falls,
interest rate increases. Let us take the case of a government bond. A government bond always
yields a fixed annual income. Suppose that a bond of the face value (price of the bond) of Rs.
200 that pays interest of Rs. 4 per annum (called its coupon rate). The effective rate of
interest on bond will be:
Effective rate of interest on bond =
100
6.24
Effective rate of interest on bond =
.
.
100 = 2 "#$ %#&'
If interest rate increases, bond prices decreases, for example, if interest rate increases to 4 per
cent, bond prices will be reciprocal of interest rate times coupon rate (i.e., Rs.4). So the bond
price will be:
Bond price = reciprocal of interest rate X coupon rate
6.25
Bond price =
(
4
= Rs. 100.
The bond price decreases to Rs. 100 from Rs. 200 when interest rate increases to 4 per cent
per annum in order to compensate Rs. 4 per annum to bondholders. Similarly, if interest rate
decreases to 1.5 per cent, bond price will increase to compensate Rs. 4 per annum on the
bond. The bond price will be:
Bond price =
(
(.*
4
= Rs. 266.66. With decrease in interest rate, the bond prices increases
so that bondholders will get Rs. 4 per annum (i.e., 1.5 per cent of Rs. 266.67 = Rs.4).
Analogously to our treatment of bonds, we take the ‘standard’ unit of equity to be
claim to a perpetual income stream of constant ‘real’ amount; that is; to be a standard bond
with a purchasing-power escalator clause, so that it promises a perpetual income stream equal
in nominal units to constant number times a price index.
Physical non-human goods or physical goods held by
ultimate wealth-holders are
similar to equities except that the annual stream they yield as in kind rather than in money.
The return on physical units in terms of nominal units is based on the behaviour of price. In
addition, like equities, physical goods must be regarded as yielding a nominal return in the
form of appreciation or depreciation in money value. If we suppose the price level, P,
introduced earlier, to apply to the value of these physical goods, then, at time zero,
(
6.26
Together with P, it defines the “real” return from holding of Rs.1 in the form of
physical goods.
Human capital cannot be expressed in terms of market prices or rate of return. At any
one point in time there is some division between human and non-human wealth in his
portfolio of assets; he may be able to change this over time, but we shall treat it at a point in
time. Let W be the ratio of non-human to human wealth, which means that it is closely allied
to what is usually defines as the ratio of wealth to income. This is then,
the variable that
needs to be taken into account so far as human wealth is concerned.
Friedman’s theory of the demand function for money for an individual wealth-holder
is summed up symbolically below:
Md = f [P; Bi; Ei;
(
; W; Y; U]
6.27
Where, Md stands for total demand for money; P for general price level; Bi for market
bond interest rate; Ei for the market rate of interest on equities;
(
;
for the size of nominal
return per unit of money i.e., Rs.1 of physical goods. Together with P, it defines the “real”
return from holding of Rs.1 in the form of physical goods; W for the ratio of non-human to
human wealth; Y for the total remaining wealth or real income and; and U for the utility
determining index.
The aggregate demand function for money is the summation of the individual demand
functions. The demand function for money leads to the conclusion that a rise in expected
yields on different assets reduces the amount of money demanded by wealth holders, and that
an increase in wealth raises the demand for money. The income to which cash balances are
adjusted is the expected long-term level of income rather than current income being received.
Empirical evidence suggests that the income elasticity of demand for money is greater than
unity, which means that income velocity is falling over the long run. This means that long run
demand function for money is stable.
Modern QTM not only regards the demand
function for money as stable, it also
regards this function as playing vital role in determining value (or time paths) of variables of
great importance for the analysis for the economy as a whole, such as the level of income and
of the prices.
In modern quantity theory of money, supply of money is independent of the factors
affecting the demand for money. The supply of money is influenced by the actions of
monetary authorities. It means that money which people want to hold is related in a fixed way
to their permanent income i.e., yield on different assets.
Modern monetarism is distinguished from other versions of QTM by the assumption
that velocity is relatively stable in the short run
7
. The short-run effects of changes in the stock
of money therefore fall entirely on PY. The question then becomes one of the division of
7.
Kamerschen, David, R, op.cit,: 367
effects between P and Y. Although a host of factors can affect that division, most monetarists
place great emphasis on expectations. That part of the monetary expansion (or contraction)
that is unanticipated will cause output to change; that part that is
anticipated will cause the
price level to change. Because all changes will eventually be known and therefore,
anticipated, in the long run we are left with the quantity theory result that changes in the
money stock affect prices alone.
It has been found that it is the permanent income and the actual rate of interest and not
the changes in the price level that explains most of the variations in the demand for money.
Friedman’s version of the quantity theory of money is criticised on two grounds viz; (i)
Friedman argued that rate of interest did not play a crucial role in determining the demand for
cash balances in the community, and (ii) Friedman argued that supply of money is not
influenced by the changes in the prices and income.
Having understood the earlier or traditional QTM and modern QTM, let us distinguish
between the traditional QTM and modern QTM
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