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Manuals/calci/YIELD

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YIELD(settlement, maturity, rate, price, redemption, 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 maturity} 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 redemption} 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() calculates the yield on a security or a bond that pays periodic interest.

Description

YIELD(settlement, maturity, rate, price, redemption, 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 maturity} 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 maturity} 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, 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} = 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   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, maturity, rate, price, redemption, 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.

Related Videos

YIELD

See Also

References

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