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# prdisc

Price of discounted security

## Syntax

``Price = prdisc(Settle,Maturity,FaceDiscount)``
``Price = prdisc(___,Basis)``

## Description

example

````Price = prdisc(Settle,Maturity,FaceDiscount)` returns the price of a security whose yield is quoted as a bank discount rate (for example, U. S. Treasury bills). ```
````Price = prdisc(___,Basis)` adds an optional argument for `Basis`.```

## Examples

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This example shows how to return the price of a security whose yield is quoted as a bank discount rate (for example, U. S. Treasury bills).

```Settle = '10/14/2000'; Maturity = '03/17/2001'; Face = 100; Discount = 0.087; Basis = 2; Price = prdisc(Settle, Maturity, Face, Discount, Basis)```
```Price = 96.2783 ```

This example shows how to use `datetime` inputs to return the price of a security whose yield is quoted as a bank discount rate (for example, U. S. Treasury bills).

```Settle = '10/14/2000'; Maturity = '03/17/2001'; Face = 100; Discount = 0.087; Basis = 2; Price = prdisc(datetime(Settle,'Locale','en_US'),datetime(Maturity,'Locale','en_US'), Face, Discount, Basis)```
```Price = 96.2783 ```

## Input Arguments

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Settlement date, specified as serial date numbers, date character vectors, or datetime arrays.

Settle must be earlier than `Maturity`.

Data Types: `double` | `datetime` | `char`

Maturity date, specified as serial date numbers, date character vectors, or datetime arrays.

Data Types: `double` | `datetime` | `char`

Redemption (par, face) value, specified as a numeric value.

Data Types: `double`

Bank discount rate of the security, specified as a decimal fraction value.

Data Types: `double`

(Optional) Day-count basis of the instrument, specified as a numeric value. Allowed values are:

• 0 = actual/actual

• 1 = 30/360 (SIA)

• 2 = actual/360

• 3 = actual/365

• 4 = 30/360 (PSA)

• 5 = 30/360 (ISDA)

• 6 = 30/360 (European)

• 7 = actual/365 (Japanese)

• 8 = actual/actual (ICMA)

• 9 = actual/360 (ICMA)

• 10 = actual/365 (ICMA)

• 11 = 30/360E (ICMA)

• 12 = actual/365 (ISDA)

• 13 = BUS/252

For more information, see basis.

Data Types: `double`

## Output Arguments

collapse all

Price of discounted security, returned as a numeric value.

 Mayle. “Standard Securities Calculation Methods.” Volumes I-II, 3rd edition. Formula 2.

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