Difference between revisions of "Manuals/calci/YIELD"

Revision as of 15:39, 1 August 2018

YIELD (Settlement,MaturityDate,Rate,Price,RedemptionValue,Frequency,Basis)

where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Settlement} is security's settlement date (a date when coupon or a bond is purchased),
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle MaturityDate} is security's maturity date (a date when coupon or a bond expires),
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Rate} is security's annual coupon rate,
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Price} is the price per $100 face value,
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle RedemptionValue} is security's redemption value per $100 face value,
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Frequency} is the number of coupon payments per year, and
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Basis} is the type of day count basis to use.

YIELD(), returns the yield on a security that pays periodic interest.

Description

YIELD (Settlement,MaturityDate,Rate,Price,RedemptionValue,Frequency,Basis)

Yield is the annual percentage return on an investment or security. Yield is the value obtained by dividing Annual Interest by Bond Price.

Formula:-

If B= Number of days from beginning of coupon period to settlement date,
   C= Number of days in coupon period,
   N= Number of days from settlement date to redemption date

:Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle YIELD = \dfrac{(\dfrac{redemption}{100}+\dfrac{rate}{frequency})-(\dfrac{par}{100}+(\dfrac{B}{C}*\dfrac{rate}{frequency}))}{\dfrac{par}{100}+(\dfrac{B}{C}*\dfrac{rate}{frequency})}*\dfrac{frequency*C}{N}}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Settlement} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle MaturityDate} dates should be entered either in 'date format' or 'dates returned using formulas'. If dates are not valid, Calci displays #N/A error message.
If Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Settlement} date = Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle MaturityDate} date, Calci displays #N/A error message.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Rate} value must be greater than or equal to zero, else Calci displays #N/A error message.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Price} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle redemption} values must be greater than zero, else Calci displays #N/A error message.
The values for Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Frequency} should be 1,2 or 4.

For Annual payment, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Frequency} = 1,

For Semi-annual payment, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Frequency} = 2,

For Quarterly payment, $Frequency$ = 4.

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Basis} value is optional. If omitted, Calci assumes it to be 0.

Below table shows the use of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle basis} values:

Basis	Description
0	US (NASD) 30/360
1	Actual/actual
2	Actual/360
3	Actual/365
4	European 30/360

If Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Basis} value is other than 0 to 4, Calci displays #N/A error message.

Examples

YIELD (Settlement,MaturityDate,Rate,Price,RedemptionValue,Frequency,Basis) function with inputs in order is calculated as follows:

2/2/2008
11/2/2010
5%
97
$100
2
0

=YIELD(A1,A2,A3,A4,A5,A6,A7) : Calculates the Yield Value with the inputs in the range A1 to A7. Returns 6.2% as a result.

=YIELD(DATE(2012,6,10), DATE(2013,6,10), "6%", 98.85, 100, 2) : Calculates the Yield Value with the inputs. 
 Returns 7.21% as a result.

References

List of Main Z Functions

Z3 home

@@ Line 1: / Line 1: @@
-=YIELD(settlement, maturity, rate, price, redemption, frequency, basis)=
+<div style="font-size:30px">'''YIELD (Settlement,MaturityDate,Rate,Price,RedemptionValue,Frequency,Basis)'''</div><br/>
-*where <math>settlement</math> is security's settlement date (a date when coupon or a bond is purchased),
+*where <math>Settlement</math> is security's settlement date (a date when coupon or a bond is purchased),
-*<math>maturity</math> is security's maturity date (a date when coupon or a bond expires),
+*<math>MaturityDate</math> is security's maturity date (a date when coupon or a bond expires),
-*<math>rate</math> is security's annual coupon rate,
+*<math>Rate</math> is security's annual coupon rate,
-*<math>price</math> is the price per $100 face value,
+*<math>Price</math> is the price per $100 face value,
-*<math>redemption</math> is security's redemption value per &#36;100 face value,
+*<math>RedemptionValue</math> is security's redemption value per &#36;100 face value,
-*<math>frequency</math> is the number of coupon payments per year, and
+*<math>Frequency</math> is the number of coupon payments per year, and
-*<math>basis</math> is the type of day count basis to use.
+*<math>Basis</math> is the type of day count basis to use.
-YIELD() calculates the yield on a security or a bond that pays periodic interest.
+YIELD(), returns the yield on a security that pays periodic interest.
 == Description ==
-YIELD(settlement, maturity, rate, price, redemption, frequency, basis)
+YIELD (Settlement,MaturityDate,Rate,Price,RedemptionValue,Frequency,Basis)
 *Yield is the annual percentage return on an investment or security. Yield is the value obtained by dividing Annual Interest by Bond Price.
@@ Line 24: / Line 24: @@
   :<math>YIELD = \dfrac{(\dfrac{redemption}{100}+\dfrac{rate}{frequency})-(\dfrac{par}{100}+(\dfrac{B}{C}*\dfrac{rate}{frequency}))}{\dfrac{par}{100}+(\dfrac{B}{C}*\dfrac{rate}{frequency})}*\dfrac{frequency*C}{N}</math>
-*<math>settlement</math> and <math>maturity</math> dates should be entered either in 'date format' or 'dates returned using formulas'. If dates are not valid, Calci displays #N/A error message.
+*<math>Settlement</math> and <math>MaturityDate</math> dates should be entered either in 'date format' or 'dates returned using formulas'. If dates are not valid, Calci displays #N/A error message.
-*If <math>settlement</math> date = <math>maturity</math> date, Calci displays #N/A error message.
+*If <math>Settlement</math> date = <math>MaturityDate</math> date, Calci displays #N/A error message.
-*<math>rate</math> value must be greater than or equal to zero, else Calci displays #N/A error message.
+*<math>Rate</math> value must be greater than or equal to zero, else Calci displays #N/A error message.
-*<math>price</math> and <math>redemption</math> values must be greater than zero, else Calci displays #N/A error message.
+*<math>Price</math> and <math>redemption</math> values must be greater than zero, else Calci displays #N/A error message.
-*The values for <math>frequency</math> should be 1,2 or 4.
+*The values for <math>Frequency</math> should be 1,2 or 4.
-For Annual payment, <math>frequency</math> = 1,
+For Annual payment, <math>Frequency</math> = 1,
-For Semi-annual payment, <math>frequency</math> = 2,
+For Semi-annual payment, <math>Frequency</math> = 2,
-For Quarterly payment, <math>frequency</math> = 4.
+For Quarterly payment, <math>Frequency</math> = 4.
-*<math>basis</math> value is optional. If omitted, Calci assumes it to be 0.
+*<math>Basis</math> value is optional. If omitted, Calci assumes it to be 0.
 Below table shows the use of <math>basis</math> values:
@@ Line 53: / Line 53: @@
 |}
-*If <math>basis</math> value is other than 0 to 4, Calci displays #N/A error message.
+*If <math>Basis</math> value is other than 0 to 4, Calci displays #N/A error message.
 == Examples ==
-YIELD(settlement, maturity, rate, price, redemption, frequency, basis) function with inputs in order is calculated as follows:
+YIELD (Settlement,MaturityDate,Rate,Price,RedemptionValue,Frequency,Basis) function with inputs in order is calculated as follows:
 <div id="2SpaceContent" class="zcontent" align="left">

Difference between revisions of "Manuals/calci/YIELD"

Revision as of 15:39, 1 August 2018

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