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Chapter 6 Chapter 6

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15<br />

EXPECTATION THEORY: As per this theory, the shape of the yield curve depends on<br />

investors expectations. If they expect that in future the interest rates will rise, the<br />

curve will have positive slope; if they expect that in future the interest rates will fall,<br />

the curve will have negative slope. If the expectation is not much change in interest<br />

rates, the shape of the yield curve will be flat.<br />

LIQUIDITY PREFERENCE THEORY: As per this theory, interest is reward for parting<br />

with the liquidity. This theory is based on the assumption that the investors have<br />

preference for liquidity; longer the maturity, more the moving away from the<br />

liquidity.<br />

This theory provides the explanation only for normal yield curve. The theory states<br />

that for the longer maturities, the yields should be higher. Two reasons are advanced<br />

for this (i) longer maturities means more parting with the liquidity and (ii) longer<br />

maturities cause more risk and hence the higher risk premium.<br />

FORWARD RATES<br />

This concept is based on Expectation theory.<br />

Forward rate is the interest rate that we expect, today, to prevail in the market after<br />

certain period.<br />

Forward rate for first year is the rate of interest that expect, in the beginning of the<br />

1 st year, to earn on our investment made in the beginning of the 1 st year till the end<br />

of 1 st year. It is also referred as spot rate for 1 st year.<br />

Forward rate for second year is the interest rate that we expect, today, to prevail in<br />

the market in 2 nd year. In another words, we can say that it is rate of return that we<br />

expect (today) to earn on our investment made in the beginning of 2 nd year till the<br />

end of 2 nd year.<br />

Forward rate for 3 rd year is the interest rate that we expect, today, to prevail in the<br />

market in 3 rd year. In another words, we can say that it is rate of return that we<br />

expect (today) to earn on our investment made in the beginning of 3 rd year till the<br />

end of 3 rd year.<br />

Forward rate for 4 th year is the interest rate that we expect, today, to prevail in the<br />

market in 4 th year. In another words, we can say that it is rate of return that we<br />

expect (today) to earn on our investment made in the beginning of 4 th year till the<br />

end of 4 th year.<br />

And so on…………………..<br />

We can calculate the forward interest rate either with the help of wealth ratio or<br />

using the basic concept of valuation (The basic concept of valuation is that the<br />

market price of any asset is equal to present value of all future cash flows).<br />

Q. No. 23 : The following is the list of prices of zero coupon bonds of various<br />

maturities. Calculate the yields to maturity of each bond.

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