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Lecture

Market Conventions: Day-Count Conventions

Description

This lecture covers market conventions related to interest rate models, including day-count conventions such as actual/365, actual/360, and 30/360. It explains how time is measured in years and calculates year fractions between calendar dates. The lecture also discusses accrued interest, clean price, and dirty price of coupon bonds.

Official source

Ontological neighbourhood

Business

Finance: Financial risk management

Related concepts (21)

Interest rate swap

In finance, an interest rate swap (IRS) is an interest rate derivative (IRD). It involves exchange of interest rates between two parties. In particular it is a "linear" IRD and one of the most liquid, benchmark products. It has associations with forward rate agreements (FRAs), and with zero coupon swaps (ZCSs). In its December 2014 statistics release, the Bank for International Settlements reported that interest rate swaps were the largest component of the global OTC derivative market, representing 60%, with the notional amount outstanding in OTC interest rate swaps of

381 trillion, and the gross market value of

14 trillion.

Dirty price

The price of a bond is the present value of its future cash-flows. To avoid the impact of the next coupon payment on the price of a bond, this cash flow is excluded from the price of the bond and is called the accrued interest. In finance, the dirty price is the price of a bond including any interest that has accrued since issue of the most recent coupon payment. This is to be compared with the clean price, which is the price of a bond excluding the accrued interest.

Clean price

In finance, the clean price is the price of a bond excluding any interest accrued since bond's issuance and the most recent coupon payment. Comparatively, the dirty price is the price of a bond including the accrued interest. Therefore, Clean Price = Dirty Price − Accrued Interest In Bloomberg Terminal or Reuters, bond prices are quoted using the clean price. Traders tend to think of bonds in terms of their clean prices. Clean prices are more stable over time than dirty prices.

Interest rate

An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited, or borrowed (called the principal sum). The total interest on an amount lent or borrowed depends on the principal sum, the interest rate, the compounding frequency, and the length of time over which it is lent, deposited, or borrowed. The annual interest rate is the rate over a period of one year. Other interest rates apply over different periods, such as a month or a day, but they are usually annualized.

Interest

In finance and economics, interest is payment from a borrower or deposit-taking financial institution to a lender or depositor of an amount above repayment of the principal sum (that is, the amount borrowed), at a particular rate. It is distinct from a fee which the borrower may pay to the lender or some third party. It is also distinct from dividend which is paid by a company to its shareholders (owners) from its profit or reserve, but not at a particular rate decided beforehand, rather on a pro rata basis as a share in the reward gained by risk taking entrepreneurs when the revenue earned exceeds the total costs.

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