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

Maturity risk premium is zero, The actual risk-free rate is 4%. Inflation i...

The actual risk-free rate is 4%. Inflation is likely to be 3% this year and 4% during the next 2 years. We suppose that the maturity risk premium is zero. What is the yield on 2

Objectives and functions of asic, Objectives and Functions of ASIC The ...

Objectives and Functions of ASIC The objective of ASIC is to ensure the confident and informed participation of consumers in the financial system. To attain this objective, it

Cost of preference equity-irr , 1.  Find out the present value of Rs. 10,00...

1.  Find out the present value of Rs. 10,000 to be required after 4 years if the interest rate is 6%. 2.  A Firm can invest Rs. 10,000 in a project with a life of three years.

Wacc based on the president''s preference, Sapp Trucking's balance sheet il...

Sapp Trucking's balance sheet illustrates a total of noncallable $45 million long-term debt with a coupon rate of 7.00% and a yield to maturity of 6.00%.  This debt presently has a

Limitations of budgetary control, LIMITATIONS OF BUDGETARY CONTROL 1. I...

LIMITATIONS OF BUDGETARY CONTROL 1. It involves predicting the future which is not certain. 2. Market is continuously and dynamically evolving.  Hence budgets based on past

Cost of capital, Provide an argument for including or not current liabiliti...

Provide an argument for including or not current liabilities in the cost of capital calculation.

Describe the sales forecasting process, Describe the sales forecasting proc...

Describe the sales forecasting process. Sales assumptions are a group effort. Marketing and Sales personnel usually provide assessments of demand and the competition.  Producti

Domestic factors were important than international factor, Why do you think...

Why do you think the empirical studies as regards factors influencing equity returns mainly showed that domestic factors were more significant than international factors, and, seco

Common-size statement value, A firm has sales of $6,500, net income of $500...

A firm has sales of $6,500, net income of $500, total assets of $12,000, and total equity of $700. Interest expense is $1000. What will be the common-size statement value of the in

Project budgets and reporting systems, Project Budgets and Reporting System...

Project Budgets and Reporting Systems: In many cases, where a project is initiated and a budget allocated, a separate account is created to ensure costs attributable to that pr

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