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

Determine the valuing equity securities, Determine the Valuing Equity Secur...

Determine the Valuing Equity Securities Unlike debt and money market instruments, equity instruments represent ownership interest in the company. As owners should put in their

Methods of easing cash shortages, Q. Methods of easing cash shortages? ...

Q. Methods of easing cash shortages? There are several techniques which can potentially offset the effects of cash shortages. In the long-term nevertheless the adequacy of cash

Factors affecting working capital needs of firms, FACTORS AFFECTING WORKING...

FACTORS AFFECTING WORKING CAPITAL NEEDS OF FIRMS A large no. of reasons influences the working capital requirements of firms.  a number of them are as follows: 1. Nature of

Government securities , The RBI, on behalf of the government, issues ...

The RBI, on behalf of the government, issues all T-Bills and Government dated securities. Being risk-free securities, they set the benchmark for the interest rate

Characteristics of a stock exchange, Characteristics of a Stock Exchange ...

Characteristics of a Stock Exchange The requirements for a stock exchange to act as a platform for buying and selling securities is dependant upon the trading prerequisites. Som

What are the time dimensions of the income statement, What are the time dim...

What are the time dimensions of the income statement, the balance sheet, and the statement of cash flows?  Hint: Are they videos or still pictures?  Explain. The income stateme

Frankfurt stock exchange, Frankfurt Stock Exchange The roots of the Fran...

Frankfurt Stock Exchange The roots of the Frankfurt Stock Exchange may be traced back to the period of medieval fairs. As early as the middle of the ninth century, Emperor Ludwi

Determining the appropriate rates in valuation process, After estimat...

After estimating the cash flows, the next step is to determine the appropriate interest rate that should be used to discount the cash flows. The minimum return re

Financial management issue, Harrelson Inc. currently has $750,000 in accoun...

Harrelson Inc. currently has $750,000 in accounts receivable, and its days sales outstanding (DSO) is 55 days. It wants to reduce its DSO to 35 days by pressuring more of its custo

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