DISC
Returns the discount rate for a security.
If this function is not available, run the Setup program to install the Analysis ToolPak. After you install the Analysis ToolPak, you must enable it by using the Add-Ins command on the Tools menu.
Syntax
DISC(settlement,maturity,pr,redemption,basis)
Settlement is the security's settlement date. The security settlement date is the date after the issue date when the security is traded to the buyer.
Maturity is the security's maturity date. The maturity date is the date when the security expires.
Pr is the security's price per $100 face value.
Redemption is the security's redemption value per $100 face value.
Basis is the type of day count basis to use.
Basis |
Day count basis |
0 or omitted |
US (NASD) 30/360 |
1 |
Actual/actual |
2 |
Actual/360 |
3 |
Actual/365 |
4 |
European 30/360 |
Remarks
- The settlement date is the date a buyer purchases a coupon, such as a bond. The maturity date is the date when a coupon expires. For example, suppose a 30-year bond is issued on January 1, 1996, and is purchased by a buyer six months later. The issue date would be January 1, 1996, the settlement date would be July 1, 1996, and the maturity date would be January 1, 2026, 30 years after the January 1, 1996, issue date.
- Settlement, maturity, and basis are truncated to integers.
- If any argument is nonnumeric, DISC returns the #VALUE! error value.
- If settlement or maturity is not a valid serial date number, DISC returns the #NUM! error value.
- If pr £ 0 or if redemption £ 0, DISC returns the #NUM! error value.
- If basis < 0 or if basis > 4, DISC returns the #NUM! error value.
- If settlement ³ maturity, DISC returns the #NUM! error value.
- DISC is calculated as follows:
Where:
B = number of days in a year, depending on the year basis.
DSM = number of days between settlement and maturity.
Example
A bond has the following terms:
February 15, 1993, settlement date
June 10, 1993, maturity date
$97.975 price
$100 redemption value
Actual/360 basis
The bond discount rate (in the 1900 date system) is:
DISC("2/15/93","6/10/93",97.975,100,2)
equals 0.063391 or 6.3391 percent