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

Mathematical property of median, Mathematical Property The sum of the d...

Mathematical Property The sum of the deviations of the items from median, ignoring signs, is the least. For example, the median of 6, 10, 14, 18 and 22 is 14. The deviations fr

Explain the powers and functions of sebi, Question 1 What is liquidity ris...

Question 1 What is liquidity risk? What are the causes for liquidity risk? Question 2 Explain the powers and functions of SEBI Question 3 Discuss the various categories

Minimum bonus and maximum bonus, Question 1 Sections 42 to 50 of the Act d...

Question 1 Sections 42 to 50 of the Act deal with provisions pertaining to welfare of workers. State a few welfare measures that you would suggest in factories. List the welfare m

Limitation of profit maximisation -quality of benefits, Limitation of pro...

Limitation of profit maximisation -Quality of Benefits Probably the most vital technical limitation of profit maximisation as an operational objective, is that it ignores qua

Why depreciation play in estimating incremental cash flows, What role does ...

What role does depreciation play in estimating incremental cash flows? Depreciation expense is a tax deductible expense and thus affects cash flow through its effect on taxes.

Arrow as an fsa’s risk based approach to regulation, ARROW as an FSA's risk...

ARROW as an FSA's risk based approach to regulation ARROW stands for Advanced, Risk-Responsive Operating Framework. In January 2000, FSA set out a proposed approach to regulati

Underwrite, Under write An arrangement under which the investment b...

Under write An arrangement under which the investment banks agree to purchase a certain amount of privacy of a new issue (typically an IPO) at a given date for a given pric

Long-term solvency ratios (financial leverage ratios), Long-Term Solvency R...

Long-Term Solvency Ratios (Financial Leverage Ratios)   Debt-Equity Ratio = Total Debt / Total Equity à It is a measure of a company's debt utilization. It gives the ex

Define intermediation, Define intermediation . The monetary system mak...

Define intermediation . The monetary system makes it possible for deficit and surplus economic units to come together exchanging funds for securities to their mutual benefit.

Assuptions, what are the basic assumptions of financial management?

what are the basic assumptions of financial management?

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