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

Final Project AFM, Ask questiona) Maju Construction (MCo) Sdn. Bhd. is bidd...

Ask questiona) Maju Construction (MCo) Sdn. Bhd. is bidding on a contract to build four tiny camping house (TCH) a year for the next three years for Sintokian campsite. Each TCH wi

Define what effects have mergers had on fees assessed, What effects have me...

What effects have mergers had on fees assessed for retail bank services? A: The effect is not clear. Market conditions and the level of competition frequently determine the cost

Define the p/e valuation method, Define the P/E valuation method. Under wha...

Define the P/E valuation method. Under what circumstances should a stock be valued using this method? The P/E ratio specifies how much investors are willing to pay for each dol

Demand at each particular exchange rate, The usual number of passengers usi...

The usual number of passengers using the service is dependent upon the demand at each particular exchange rate. At 1·52 Euro/£ expected demand = (0·33·)(500 + 460 + 420) = 460

Explains the reason for the negative synergistic gains, What can be the rea...

What can be the reason for the negative synergistic gains for British acquisitions of U.S. firms? Negative synergies for British acquisitions of U.S. firms (united state firms) m

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

State the several goals for the organisation, State the several goals for t...

State the several goals for the organisation As there could be several goals for the organisation, we must try and summarise theorganisational goals in financial terms so that

Determine the significance of gearing on shareholders, Determine the Signif...

Determine the Significance of gearing on shareholders Significance of gearing on shareholders is financial risk for anun-geared and geared company. It means that there is a gre

Principles of good regulation, Principles of Good Regulation While perf...

Principles of Good Regulation While performing its functions, the FSA needs to take into account certain matters which are termed the ‘principles of good regulation'. The matte

Analysis of collaterals, If normal operating revenues are inadequate ...

If normal operating revenues are inadequate to repay the debt, liquidation of collateral may be necessary. Corporate bonds can be either secured or unsecured by c

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