Finance
FloatingRateBond
create new floating-rate bond
Calling Sequence
Parameters
Options
Description
Examples
References
Compatibility
FloatingRateBond(redemptionvalue, maturity, timeunit, rate, spreads, options)
FloatingRateBond(redemptionvalue, maturitydate, rate, spreads, options)
redemptionvalue
-
bonds redemption value
maturitydate
a date specified in a format recognized by the ParseDate command; maturity date
maturity
a nonnegative integer specifying the quantity of the time units
timeunit
Days, Weeks, Months, or Years; time units
rate
benchmark rate data structure; variable rate
spreads
a list or Vector of the spreads on the interest rate
opts
(optional) equation(s) of the form option = value where option is one of calendar, convention, frequency, daycounter, issuedate, or settlementdays; specify options for the FloatingRateBond command
calendar = a name representing a supported calendar (e.g. Toronto, NewYork) or a calendar data structure created using the Calendar constructor -- This option can be used to specify the underlying calendar.
convention = Unadjusted, Preceding, ModifiedPreceding, Following, ModifiedFollowing, or MonthEndReference -- This option can be used to specify business day conventions. The default value is Following.
daycounter = a name representing a supported day counter (e.g. ISDA, Simple) or a day counter data structure created using the DayCounter constructor -- This option provides a day counter that will be used to convert the period between two dates to a fraction of the year.
frequency = Annual, Semiannual, EveryFourthMonth, Quarterly, Bimonthly, or Monthly -- This option specifies coupon frequency. The default value is Annual.
issuedate = a string containing a date specification in a format recognized by ParseDate or a date data structure -- This option provides the issue date of a bond. It is set to the global evaluation date by default.
settlementdays = positive integer -- This option specifies the number of settlement days. The default value is 1.
The FloatingRateBond commands creates a new floating-rate bond with the specified parameters. It is assumed that the face value of the bond is 100.0.
with⁡Finance:
SetEvaluationDate⁡January 15, 2007:
Settings⁡daycounter=Historical,businessdayconvention=Unadjusted,settlementdays=0
daycounter=Historical,businessdayconvention=Unadjusted,settlementdays=0
rate≔BenchmarkRate⁡0.03
rate ≔ moduleend module
LoadHistory⁡rate,December 23, 2006,0.023,0.025,0.021,0.022,0.023,0.02,0.021,0.024,0.025,0.026,0.027,0.028
spreads≔0.001,0.0012,0.0014,0.0016
spreads≔0.0010.00120.00140.0016
bond≔FloatingRateBond⁡100,5,Years,rate,spreads,issuedate=January 02, 2007:
Get the set of cash flows for your bonds.
CashFlows⁡bond
2.699979789 on 'January 2, 2008',3.120146310 on 'January 2, 2009',3.140123291 on 'January 2, 2010',3.160123291 on 'January 2, 2011',3.160099636 on 'January 2, 2012',100. on 'January 2, 2012'
Calculate the clean price and the dirty price for your bond using the fixed rate of 5% as the discount rate.
cleanprice≔CleanPrice⁡bond,0.05
cleanprice≔91.08881737
dirtyprice≔DirtyPrice⁡bond,0.05
dirtyprice≔91.18498176
accrued≔AccruedAmount⁡bond
accrued≔0.09616438356
Calculate the bond's yield using the previous discount rate.
YieldFromCleanPrice⁡bond,cleanprice
0.05000000002
YieldFromDirtyPrice⁡bond,dirtyprice
0.04999999999
Note that the face value is always 100.0 and the coupon payments are calculated based on this rate.
bond2≔FloatingRateBond⁡120,5,Years,rate,spreads,issuedate=January 02, 2007:
CashFlows⁡bond2
2.699979789 on 'January 2, 2008',3.120146310 on 'January 2, 2009',3.140123291 on 'January 2, 2010',3.160123291 on 'January 2, 2011',3.160099636 on 'January 2, 2012',120. on 'January 2, 2012'
Brigo, D., Mercurio, F., Interest Rate Models: Theory and Practice. New York: Springer-Verlag, 2001.
Glasserman, P., Monte Carlo Methods in Financial Engineering. New York: Springer-Verlag, 2004.
Hull, J., Options, Futures, and Other Derivatives, 5th. edition. Upper Saddle River, New Jersey: Prentice Hall, 2003.
The Finance[FloatingRateBond] command was introduced in Maple 15.
For more information on Maple 15 changes, see Updates in Maple 15.
See Also
Finance[CleanPrice]
Finance[DirtyPrice]
Finance[FixedCouponBond]
Finance[YieldFromCleanPrice]
Finance[YieldFromDirtyPrice]
Finance[ZeroCouponBond]
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