Price-yield relationship in bonds, Financial Management

Assignment Help:

Typically in a bond, we find an inverse relation between the price and the required yield. We know that the price of the bond is the present value of cash flows. If the required yield increases, the present value of the cash flow declines and hence the bond value also declines. Let us compute the relationship between the price and the required yield for a bond with a coupon rate of 10% with par value of Rs.100 maturing after 10 years for different required yields as per the table given below:

Table 1: Price-Yield Relationship

Yield (in %)

Price in Rs.

  4

148.70

  6

129.40

  8

113.40

10

100.05

12

   88.70

14

   79.16

16

   71.53

18

   64.04                                          

          Figure 1: Price/Yield Relationship for an Option Free Bond

1005_price yield relationship.png

 

If we plot a graph the price-yield relationship, we get a convex curve as seen above in the graph. This convexity has important implications with investment characteristics of a bond. Whenever yields in the market change, the bond prices also change to compensate the yield expectations of the investor. For example, if the coupon rate of a bond is 11% and the present market coupon rate for similar bonds is 12%, then the bond value gets depleted as it yields only 11% as against the current market yield of 12%. Conversely, if the current market yield is 9.5%, then the bond gets traded at premium as the bond under reference gives an yield of 11% as against the current yield of 9.5%. When the bond is sold below par value, then it is said to be sold at a discount. When the bond is sold above par value, it is said to be traded at a 'premium'. It can be summed up as follows:

Coupon rate = Required yield then price = Par value

Coupon rate < Required yield then price < Par (discount)

Coupon rate > Required yield then  price > Par (premium).


Related Discussions:- Price-yield relationship in bonds

What are the misstatements, Q. What are the misstatements? A Misstatem...

Q. What are the misstatements? A Misstatement is Inconsequential - If a reasonable person would determine after considering the possibility of further undetected misstatement

Lewis model of economic development, Question 1: (i) Critically explai...

Question 1: (i) Critically explain and analyse the Lewis model of economic development. (ii) Compare and contrast the neoclassical growth model and the new growth theory.

Define the meaning of rate of return on investment, Define the meaning of r...

Define the meaning of rate of return on investment An investment project which provides positive NPV when its cash flows are discounted by cost of capital makes a net contribut

Active management in practice, Constant Duration To ...

Constant Duration To improve a buy and hold strategy a constant average duration is imposed for the managed portfolio during the full interest rate cy

What is the operating leverage effect and what causes it, What is the opera...

What is the operating leverage effect and what causes it?  What are the potential benefits and negative consequences of high operating leverage? The operating leverage effect i

Treasury bonds, Bonds issued by the government are termed as treasury...

Bonds issued by the government are termed as treasury bonds. For example, dated securities issued by the government. These bonds are normally issued for longer ma

Multiperiod compounding, where you deposit 1000dollars at the end of each y...

where you deposit 1000dollars at the end of each year for 4 years, what will be the amount of deposits at the end of each year if it is compounded at 12% semi-annually?

Working capital financing, Do you guys provide Working Capital Financing as...

Do you guys provide Working Capital Financing assignment help? I need writing a report on Working Capital Financing and it is about 2000 words. Let me know. I need to buy your solu

Explain translation gain and losses handled in different way, How are trans...

How are translation gains and losses handled in a different way as per to the current rate method in comparison to the other three techniques, which is the current/noncurrent metho

What does it mean if this value were zero, What does it mean when we say th...

What does it mean when we say that the correlation coefficient for two variables is -1? What does it mean if this value were zero? What does it mean if it were +1? Correlation

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd