Coupon vs yield on bonds

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Zero-Coupon Bond - an overview | ScienceDirect Topics

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ET NOW. ET Portfolio. Tata Motors DVR. Market Watch. Suggest a new Definition Proposed definitions will be considered for inclusion in the Economictimes. Countervailing Duties Duties that are imposed in order to counter the negative impact of import subsidies to protect domestic producers are called countervailing duties. The company is called the reference entity and the default is called credit event. It is a contract between two parties, called protection buyer and protection seller.

Under the contract, the protection buyer is compensated for any loss emanating from a credit event in a reference instrument. In return, the protection buyer makes periodic payments to the protection seller. In the event of a default, the buyer receives the face value of the bond or loan from the protection seller. In this, A is the protection buyer and B is the protection seller.

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If the reference entity does not default, the protection buyer keeps on paying bps of Rs 50 crore, which is Rs 50 lakh, to the protection seller every year. On the contrary, if a credit event occurs, the protection buyer will be compensated fully by the protection seller. The settlement of the CDS takes place either through cash settlement or physical settlement.

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For cash settlement, the price is set by polling the dealers and a mid-market value of the reference obligation is used for settlement. There are different types of credit events such as bankruptcy, failure to pay, and restructuring. Bankruptcy refers to the insolvency of the reference entity. Failure to pay refers to the inability of the borrower to make payment of the principal and interest after the completion of the grace period.

Restructuring refers to the change in the terms of the debt contract, which is detrimental to the creditors. If the credit event does not occur before the maturity of the loan, the protection seller does not make any payment to the buyer. CDS can be structured either for the event of shortfall in principal or shortfall in interest. There are three options for calculating the size of payment by the seller to the buyer.

The bid yield is the YTM for the current bid price the price at which bonds can be purchased of a bond.

Term structure of interest rates and the yield curve The yield to maturity is calculated implicitly based on the current market price, the term to maturity of the bond and amount and frequency of coupon payments. The required yield is based on the term structure of interest rates and this needs to be discussed before considering how the price of a bond may be determined.

It is incorrect to assume that bonds of the same risk class, which are redeemed on different dates, would have the same required rate of return or yield. In fact, it is evident that the markets demand different annual returns or yields on bonds with differing lengths of time before their redemption or maturity , even where the bonds are of the same risk class. This is known as the term structure of interest rates and is represented by the spot yield curve or simply the yield curve. In this case, the term structure of interest rates is represented by an upward sloping yield curve.

The normal expectation would be of an upward sloping yield curve on the basis that bonds with a longer period of maturity would require a higher interest rate as compensation for risk. Note here that the bonds considered may be of the same risk class but the longer time period to maturity still adds to higher uncertainty. However, it is entirely normal for yield curves to be of many different shapes dependent on the perceptions of the markets on how interest rates may change in the future.

Three main theories have been advanced to explain the term structure of interest rates or the yield curve: expectations hypothesis, liquidity-preference hypothesis and market-segmentation hypothesis. Although it is beyond the remit of this article to explain these theories, many textbooks on investments and financial management cover these in detail. Valuing bonds based on the yield curve Annual spot yield curves are often published by the financial press or by central banks for example, the Bank of England regularly publishes UK government bond yield curves on its website.

The spot yield curve can be used to estimate the price or value of a bond. Estimate the price at which the bond should be issued. The yield to maturity of the bond is estimated at 5. Some important points can be noted from the above calculation; firstly, the 5. Secondly, the yield to maturity is a weighted average of the term structure of interest rates.

Thirdly, the yield to maturity is calculated after the price of the bond has been calculated or observed in the markets, but theoretically it is term structure of interest rates that determines the price or value of the bond.

Bond valuation and bond yields

In this article it is assumed that coupons are paid annually, but it is common practice to pay coupons more frequently than once a year. In these circumstances, the coupon payments need to be reduced and the time period frequency needs to be increased. Estimating the yield curve There are different methods used to estimate a spot yield curve, and the iterative process based on bootstrapping coupon paying bonds is perhaps the simplest to understand.

The following example demonstrates how the process works.


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As stated in the previous section, often the financial press and central banks will publish estimated spot yield curves based on government issued bonds. Yield curves for individual corporate bonds can be estimated from these by adding the relevant spread to the bonds.