optbndbybk

BkTree

Forward-rate tree structure created by bktree.

OptSpec

Number of instruments (NINST)-by-1 cell array of string values 'Call' or 'Put'.

Strike

European option: NINST-by-1 vector of strike price values.

Bermuda option: NINST by number of strikes (NSTRIKES) matrix of strike price values.

Each row is the schedule for one option. If an option has fewer than NSTRIKES exercise opportunities, the end of the row is padded with NaNs.

For an American option:

NINST-by-1 vector of strike price values for each option.

ExerciseDates

NINST-by-1 (European option) or NINST-by-NSTRIKES (Bermuda option) matrix of exercise dates. Each row is the schedule for one option. For a European option, there is only one exercise date, the option expiry date.

For an American option:

NINST-by-2 vector of exercise date boundaries. For each instrument, the option can be exercised on any coupon date between or including the pair of dates on that row. If only one non-NaN date is listed, or if ExerciseDates is NINST-by-1, the option can be exercised between the underlying bond Settle and the single listed exercise date.

AmericanOpt

NINST-by-1 vector of flags: 0 (European/Bermuda) or 1 (American).

CouponRate

Decimal annual rate.

Settle

Settlement date. A vector of serial date numbers or date strings. Settle must be earlier than Maturity.

Maturity

Maturity date. A vector of serial date numbers or date strings.

Period

(Optional) Coupons per year of the bond. A vector of integers. Allowed values are 1, 2, 3, 4, 6, and 12. Default = 2.

Basis

(Optional) Day-count basis of the instrument. A vector of integers.

• 0 = actual/actual (default)

• 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 (ISMA)

• 9 = actual/360 (ISMA)

• 10 = actual/365 (ISMA)

• 11 = 30/360E (ISMA)

• 12 = actual/365 (ISDA)

EndMonthRule

(Optional) End-of-month rule. A vector. This rule applies only when Maturity is an end-of-month date for a month having 30 or fewer days. 0 = ignore rule, meaning that a bond's coupon payment date is always the same numerical day of the month. 1 = set rule on (default), meaning that a bond's coupon payment date is always the last actual day of the month.

IssueDate

(Optional) Date when a bond was issued.

FirstCouponDate

(Optional) Date when a bond makes its first coupon payment. When FirstCouponDate and LastCouponDate are both specified, FirstCouponDate takes precedence in determining the coupon payment structure.

LastCouponDate

(Optional) Last coupon date of a bond prior to the maturity date. In the absence of a specified FirstCouponDate, a specified LastCouponDate determines the coupon structure of the bond. The coupon structure of a bond is truncated at the LastCouponDate regardless of where it falls and is followed only by the bond's maturity cash flow date.

StartDate

Ignored.

Face

(Optional) Face value. Default = 100.

Options

(Optional) Derivatives pricing options structure created with derivset.