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

Compute the economic order quantity, Q. Compute the economic order quantity...

Q. Compute the economic order quantity? TNG has a current order size of 50000 units Average number of orders per year = demand/order size = 255380/50000 = 5·11 orders Ann

Shoppers stop, how are indian customers visiting shoppers stop

how are indian customers visiting shoppers stop

Describe the techniques of gantt charts, Due to the complexity of the tasks...

Due to the complexity of the tasks involved in many projects, communication of responsibility for those tasks is often helped by means of graphical planning techniques.

Explain foreign equity ownership restrictions, Explain foreign equity owner...

Explain foreign equity ownership restrictions. Why do you think countries entail these restrictions? Several countries restrict the maximum fractional ownership of local organiza

Discount Pricing, Discount Pricing The T-bills are issued at a discount...

Discount Pricing The T-bills are issued at a discount to face value and hence have no coupon. Commission rates on round lots generally range from $12.50 to $25.00 per $1 mil

Need help, #queThe opening balance of one of the 31-day billing cycles for ...

#queThe opening balance of one of the 31-day billing cycles for Lorenzo''s credit card was $4100, but after 15 days Lorenzo made a payment of $2300 to decrease his balance, and it

Risk of the complete portfolio, (a) Presume we have a portfolio of n name...

(a) Presume we have a portfolio of n names with some default correlation ρ . The risk of the complete portfolio moves according to the change in default correlation. Alternative

Student, applicability of an operating cycle in vegetable growing in uganda...

applicability of an operating cycle in vegetable growing in uganda

Define the total quality management, a) An approx. 3% defect rate (i.e. 0.0...

a) An approx. 3% defect rate (i.e. 0.03 x 300m units) = 9m units per year. b) A apparent definition of Quality Assurance should be awarded, e.g. the management process of guaran

Financial reporting, Financial Repor ting The process of prepar...

Financial Repor ting The process of preparing the corporation's financial statements in accordance with generally accepted accounting principles. The statements prepare

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