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Financial/YIELD Calculations

I know this isnt really a VB question per say, but is what I am developing
in VB.NET and Excel is the only place that has provided direction. I wanted
to ask the public if perhaps you could lend me a hand a point me into the
right direction if there is someone who has had experiance with this. By all
means if you know a better place to ask, let me know.

There is an excel help file titled YIELD. I will copy any paste the file
below. I am writing a VB.NET web application and need the formula which is
included with in the help file, but doesnt give all that is needed to make
the calculation. For instance here is an excerpt from one of the remarks:

"If there is more than one coupon period until redemption, YIELD is
calculated through a hundred iterations. The resolution uses the
Newton method, based on the formula used for the function PRICE. The yield
is changed until the estimated price given the yield is close to
price."

The help file titled PRICE gives the equation, but the whole "100
iterations" is unfamiliar to me. I know what they are doing, but want to
find out how they calculate this programatically. The PRICE/YIELD add-ins
must be added in order for them to work under the add-ins setcion and is
called Analysis ToolPak - VBA. Is there a way to get a hold of this VBA and
then I can convert the code to the language I am using.

If you have any other ideas to help me...I am all game, just point the
direction.

Thank you,

Steve Wofford
www.IntraRELY.com

Excel help file:

----------------------------------------------------------------------------
-------------------------------------
YIELD
Returns the yield on a security that pays periodic interest. Use YIELD to
calculate bond yield.

If this function is not available, and returns the #NAME? error, install and
load the Analysis ToolPak add-in.

On the Tools menu, click Add-Ins.

1.. In the Add-Ins available list, select the Analysis ToolPak box, and
then click OK.
2.. If necessary, follow the instructions in the setup program.
Syntax

YIELD(settlement,maturity,rate,pr,redemption,frequ ency,basis)

Important Dates should be entered by using the DATE function, or as
results of other formulas or functions. For example, use DATE(2008,5,23) for
the 23rd day of May, 2008. Problems can occur if dates are entered as text.

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.

Rate - is the security's annual coupon rate.

Pr - is the security's price per $100 face value.

Redemption - is the security's redemption value per $100 face value.

Frequency - is the number of coupon payments per year. For annual
payments, frequency = 1; for semiannual, frequency = 2; for quarterly,
frequency = 4.

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
a.. Microsoft Excel stores dates as sequential serial numbers so they can
be used in calculations. By default, January 1, 1900 is serial number 1, and
January 1, 2008 is serial number 39448 because it is 39,448 days after
January 1, 1900. Microsoft Excel for the Macintosh uses a different date
system as its default.
b.. 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, 2008, and is purchased by a
buyer six months later. The issue date would be January 1, 2008, the
settlement date would be July 1, 2008, and the maturity date would be
January 1, 2038, which is 30 years after the January 1, 2008, issue date.
c.. Settlement, maturity, frequency, and basis are truncated to integers.
d.. If settlement or maturity is not a valid date, YIELD returns the
#VALUE! error value.
e.. If rate < 0, YIELD returns the #NUM! error value.
f.. If pr ? 0 or if redemption ? 0, YIELD returns the #NUM! error value.
g.. If frequency is any number other than 1, 2, or 4, YIELD returns the
#NUM! error value.
h.. If basis < 0 or if basis > 4, YIELD returns the #NUM! error value.
i.. If settlement ? maturity, YIELD returns the #NUM! error value.
j.. If there is one coupon period or less until redemption, YIELD is
calculated as follows:
where:

A = number of days from the beginning of the coupon period to the
settlement date (accrued days).

DSR = number of days from the settlement date to the redemption date.

E = number of days in the coupon period.

k.. If there is more than one coupon period until redemption, YIELD is
calculated through a hundred iterations. The resolution uses the Newton
method, based on the formula used for the function PRICE. The yield is
changed until the estimated price given the yield is close to price.


Nov 20 '05 #1
2 7173
http://www.google.com/search?q=price%2fyield+formula

check the link as fool.com
"IntraRELY" <In*******@yahoo.com> wrote in message
news:uP****************@TK2MSFTNGP11.phx.gbl...
I know this isnt really a VB question per say, but is what I am developing
in VB.NET and Excel is the only place that has provided direction. I wanted to ask the public if perhaps you could lend me a hand a point me into the
right direction if there is someone who has had experiance with this. By all means if you know a better place to ask, let me know.

There is an excel help file titled YIELD. I will copy any paste the file
below. I am writing a VB.NET web application and need the formula which is
included with in the help file, but doesnt give all that is needed to make
the calculation. For instance here is an excerpt from one of the remarks:

"If there is more than one coupon period until redemption, YIELD is
calculated through a hundred iterations. The resolution uses the
Newton method, based on the formula used for the function PRICE. The yield
is changed until the estimated price given the yield is close to
price."

The help file titled PRICE gives the equation, but the whole "100
iterations" is unfamiliar to me. I know what they are doing, but want to
find out how they calculate this programatically. The PRICE/YIELD add-ins
must be added in order for them to work under the add-ins setcion and is
called Analysis ToolPak - VBA. Is there a way to get a hold of this VBA and then I can convert the code to the language I am using.

If you have any other ideas to help me...I am all game, just point the
direction.

Thank you,

Steve Wofford
www.IntraRELY.com

Excel help file:

-------------------------------------------------------------------------- -- -------------------------------------
YIELD
Returns the yield on a security that pays periodic interest. Use YIELD to
calculate bond yield.

If this function is not available, and returns the #NAME? error, install and load the Analysis ToolPak add-in.

On the Tools menu, click Add-Ins.

1.. In the Add-Ins available list, select the Analysis ToolPak box, and
then click OK.
2.. If necessary, follow the instructions in the setup program.
Syntax

YIELD(settlement,maturity,rate,pr,redemption,frequ ency,basis)

Important Dates should be entered by using the DATE function, or as
results of other formulas or functions. For example, use DATE(2008,5,23) for the 23rd day of May, 2008. Problems can occur if dates are entered as text.
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.

Rate - is the security's annual coupon rate.

Pr - is the security's price per $100 face value.

Redemption - is the security's redemption value per $100 face value.

Frequency - is the number of coupon payments per year. For annual
payments, frequency = 1; for semiannual, frequency = 2; for quarterly,
frequency = 4.

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
a.. Microsoft Excel stores dates as sequential serial numbers so they can be used in calculations. By default, January 1, 1900 is serial number 1, and January 1, 2008 is serial number 39448 because it is 39,448 days after
January 1, 1900. Microsoft Excel for the Macintosh uses a different date
system as its default.
b.. 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, 2008, and is purchased by a
buyer six months later. The issue date would be January 1, 2008, the
settlement date would be July 1, 2008, and the maturity date would be
January 1, 2038, which is 30 years after the January 1, 2008, issue date.
c.. Settlement, maturity, frequency, and basis are truncated to integers. d.. If settlement or maturity is not a valid date, YIELD returns the
#VALUE! error value.
e.. If rate < 0, YIELD returns the #NUM! error value.
f.. If pr ? 0 or if redemption ? 0, YIELD returns the #NUM! error value.
g.. If frequency is any number other than 1, 2, or 4, YIELD returns the
#NUM! error value.
h.. If basis < 0 or if basis > 4, YIELD returns the #NUM! error value.
i.. If settlement ? maturity, YIELD returns the #NUM! error value.
j.. If there is one coupon period or less until redemption, YIELD is
calculated as follows:
where:

A = number of days from the beginning of the coupon period to the
settlement date (accrued days).

DSR = number of days from the settlement date to the redemption date.

E = number of days in the coupon period.

k.. If there is more than one coupon period until redemption, YIELD is
calculated through a hundred iterations. The resolution uses the Newton
method, based on the formula used for the function PRICE. The yield is
changed until the estimated price given the yield is close to price.

Nov 20 '05 #2
Hi,

What do you mean by 100 iteration?
Do you mean the Price equation provided by Excel Help?
You may refer to the Red Circle in the attschment.
I look forward to hearing from you.

Regards,
Peter Huang
Microsoft Online Partner Support
Get Secure! www.microsoft.com/security
This posting is provided "as is" with no warranties and confers no rights.
--------------------
From: "IntraRELY" <In*******@yahoo.com>
Subject: Financial/YIELD Calculations
Date: Wed, 5 Nov 2003 12:36:33 -0800
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Newsgroups: microsoft.public.dotnet.languages.vb
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Xref: cpmsftngxa06.phx.gbl microsoft.public.dotnet.languages.vb:153997
X-Tomcat-NG: microsoft.public.dotnet.languages.vb

I know this isnt really a VB question per say, but is what I am developing
in VB.NET and Excel is the only place that has provided direction. I wanted
to ask the public if perhaps you could lend me a hand a point me into the
right direction if there is someone who has had experiance with this. By allmeans if you know a better place to ask, let me know.

There is an excel help file titled YIELD. I will copy any paste the file
below. I am writing a VB.NET web application and need the formula which is
included with in the help file, but doesnt give all that is needed to make
the calculation. For instance here is an excerpt from one of the remarks:

"If there is more than one coupon period until redemption, YIELD is
calculated through a hundred iterations. The resolution uses the
Newton method, based on the formula used for the function PRICE. The yield
is changed until the estimated price given the yield is close to
price."

The help file titled PRICE gives the equation, but the whole "100
iterations" is unfamiliar to me. I know what they are doing, but want to
find out how they calculate this programatically. The PRICE/YIELD add-ins
must be added in order for them to work under the add-ins setcion and is
called Analysis ToolPak - VBA. Is there a way to get a hold of this VBA and
then I can convert the code to the language I am using.

If you have any other ideas to help me...I am all game, just point the
direction.

Thank you,

Steve Wofford
www.IntraRELY.com

Excel help file:

--------------------------------------------------------------------------- --------------------------------------
YIELD
Returns the yield on a security that pays periodic interest. Use YIELD to
calculate bond yield.

If this function is not available, and returns the #NAME? error, install andload the Analysis ToolPak add-in.

On the Tools menu, click Add-Ins.

1.. In the Add-Ins available list, select the Analysis ToolPak box, and
then click OK.
2.. If necessary, follow the instructions in the setup program.
Syntax

YIELD(settlement,maturity,rate,pr,redemption,freq uency,basis)

Important Dates should be entered by using the DATE function, or as
results of other formulas or functions. For example, use DATE(2008,5,23) forthe 23rd day of May, 2008. Problems can occur if dates are entered as text.

Settlement is the security's settlement date. The security settlement dateis 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.

Rate - is the security's annual coupon rate.

Pr - is the security's price per $100 face value.

Redemption - is the security's redemption value per $100 face value.

Frequency - is the number of coupon payments per year. For annual
payments, frequency = 1; for semiannual, frequency = 2; for quarterly,
frequency = 4.

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
a.. Microsoft Excel stores dates as sequential serial numbers so they can
be used in calculations. By default, January 1, 1900 is serial number 1, andJanuary 1, 2008 is serial number 39448 because it is 39,448 days after
January 1, 1900. Microsoft Excel for the Macintosh uses a different date
system as its default.
b.. 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, 2008, and is purchased by a
buyer six months later. The issue date would be January 1, 2008, the
settlement date would be July 1, 2008, and the maturity date would be
January 1, 2038, which is 30 years after the January 1, 2008, issue date.
c.. Settlement, maturity, frequency, and basis are truncated to integers.
d.. If settlement or maturity is not a valid date, YIELD returns the
#VALUE! error value.
e.. If rate < 0, YIELD returns the #NUM! error value.
f.. If pr ? 0 or if redemption ? 0, YIELD returns the #NUM! error value.
g.. If frequency is any number other than 1, 2, or 4, YIELD returns the
#NUM! error value.
h.. If basis < 0 or if basis > 4, YIELD returns the #NUM! error value.
i.. If settlement ? maturity, YIELD returns the #NUM! error value.
j.. If there is one coupon period or less until redemption, YIELD is
calculated as follows:
where:

A = number of days from the beginning of the coupon period to the
settlement date (accrued days).

DSR = number of days from the settlement date to the redemption date.

E = number of days in the coupon period.

k.. If there is more than one coupon period until redemption, YIELD is
calculated through a hundred iterations. The resolution uses the Newton
method, based on the formula used for the function PRICE. The yield is
changed until the estimated price given the yield is close to price.

Nov 20 '05 #3

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