bondCashflow

Syntax

bondCashflow(settlement, maturity, coupon, [frequency], [basis=1], [bondType=0])

Details

bondCashflow calculates the cash flow for a bond with a face value of 100. Supports fixed-rate bonds, zero-coupon bonds, and discount bonds.

Return value: Vector or array vector of DOUBLE type.

Arguments

Note: Scalar inputs will be automatically expanded to match the length of other vector inputs. All vector inputs must be of equal length.

settlement is a scalar or vector of DATE type, indicating the marketable security's settlement date. The settlement date is the date after the issue date when the security is traded to the buyer.

maturity is a scalar or vector of DATE type, indicating the marketable security's maturity date. The maturity date is the date when the security expires.

coupon is a numeric scalar or vector indicating the annual coupon rate of the marketable security.

frequency (optional) is an integer or a vector of integers indicating the number of coupon payments per year. Required for fixed-rate bonds, not applicable to zero-coupon or discount bonds. It can be:

  • 1: Annual payments

  • 2: Semi-annual payments

  • 4: Quarterly payments

  • 12: Monthly payments

basis (optional) is an integer or a vector of integers indicating the day count basis to use. Defaults to 1. It can be:

  • 0: US (NASD) 30/360
  • 1 (default): actual/actual
  • 2: actual/360
  • 3: actual/365
  • 4: European 30/360

bondType (optional) is an integral scalar or vector indicating the bond type. It can be:

  • 0 (default): Fixed-rate bond, where interest is paid periodically (quarterly, semi-annually, or annually) based on the coupon rate.

  • 1: Discount bond, where no interest is paid, and the bond is issued at a discount. FV at maturity = face value.

  • 2: Zero-coupon bond, where interest and face value are paid at maturity. FV at maturity = face value + interest.

Examples

Calculate the cash flows for two fixed-rate bonds purchased on September 28, 2022, with maturity dates of September 28, 2023, and September 28, 2024, respectively. Both have an annual coupon rate of 0.025, paid quarterly, with an actual/actual day count basis.

settlement = 2022.09.28
maturity = [2023.09.28, 2024.09.28]
coupon = 0.025
frequency = 4
basis = 1
bondCashflow(settlement, maturity, coupon, frequency, basis)；
/* output
[[0.625,0.625,0.625,100.625],[0.625,0.625,0.625,0.625,0.625,0.625,0.625,100.625]]
*/