Excel FinanceFormulas Vol[1].2.0.0

7/27/2019 Excel FinanceFormulas Vol[1].2.0.0

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Financial Formulas

Analysis Toolpak Add-in Help

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Returns the accrued interest for a security that pays periodic interest.

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

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ACCRINT(issue,first_interest,settlement,rate,par,frequency,basis)

mportantDates 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 23r

ssue is the security's issue date.

irst_interest is the security's first interest date.

ettlement 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.

Rate is the security's annual coupon rate.

ar is the security's par value. If you omit par, ACCRINT uses $1,000.

requency 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 basisor omitted US (NASD) 30/360

1 Actual/actual2 Actual/3603 Actual/3654 European 30/360

Remarks

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 JanuaIssue, first_interest, settlement, frequency, and basis are truncated to integers.If issue, fi rst_interest, or settlement is not a valid date, ACCRINT returns the #VALUE! error value.

If rate 0 or if par 0, ACCRINT returns the #NUM! error value.

If frequency is any number other than 1, 2, or 4, ACCRINT returns the #NUM! error value.If basis < 0 or if basis > 4, ACCRINT returns the #NUM! error value.If issue settlement, ACCRINT returns the #NUM! error value.

ACCRINT is calculated as follows:

ACCRINT
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where:

Ai = number of accrued days for the ith quasi-coupon period within odd period.

NC = number of quasi-coupon periods that fit in odd period. If this number contains a fraction, raise it to the next whole number.

NLi = normal length in days of the ith quasi-coupon period within odd period.

Example

Data Description

1 1-Mar-08 Issue date

2 31-Aug-08 First interest date

3 1-May-08 Settlement date

4 10.00% Coupon rate

5 1,000 Par value

6 2 Frequency is semiannual (see above)

7 0 30/360 basis (see above)

Formula Description (Result)

16.66666667Accrued interest for a treasury bond with the termsabove (16.66666667)

15.55555556Accrued interest with the terms above, except the issuedate is March 5, 2008. (15.55555556)

=ACCRINT(B66,B67,B68,B69,B70,B71,B72)

=ACCRINT(DATE(2008,3,5),B67,B68,B69,B70,B71,B72)


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y, 2008. Problems can occur if dates are entered as text.

serial number 39448 because it is 39,448 days after January 1, 19


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ACCRINTMReturns the accrued interest for a security that pays interest at maturity.


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ACCRINTM(issue,maturity,rate,par,basis)

mportantDates 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

ssue is the security's issue date.

Maturity is the security's maturity date.

Rate is the security's annual coupon rate.

ar is the security's par value. If you omit par, ACCRINTM uses $1,000.

asis is the type of day count basis to use.


1 Actual/actual

2 Actual/3603 Actual/3654 European 30/360

Remarks

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 JanuarIssue, settlement, and basis are truncated to integers.If issue or settlement is not a valid date, ACCRINTM returns the #VALUE! error value.If rate 0 or if par 0, ACCRINTM returns the #NUM! error value.

If basis < 0 or if basis > 4, ACCRINTM returns the #NUM! error value.If issue settlement, ACCRINTM returns the #NUM! error value.

ACCRINTM is calculated as follows:

where:

A = Number of accrued days counted according to a monthly basis. For interest at maturity items, the number of days from the issue date to the maturity d


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D = Annual Year Basis.

Example

he example may be easier to understand if you copy it to a blank worksheet.

Data Description1 1-Apr-08 Issue date

2 15-Jun-08 Maturity date

3 10.00% Percent coupon

4 $1,000 Par value

5 3 Actual/365 basis (see above)

Formula Description (Result)

20.54794521 The accrued interest for the terms above (20.54795)

=ACCRINTM(B62,B63,B64,B65,B66)


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AMORDEGRC

Returns the depreciation for each accounting period. This function is provided for the French accounting system. If an asset is purchased in the middle of th


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AMORDEGRC(cost,date_purchased,first_period,salvage,period,rate,basis)


Cost is the cost of the asset.

Date_purchased is the date of the purchase of the asset.

irst_period is the date of the end of the fi rst period.

alvage is the salvage value at the end of the l ife of the asset.

eriod is the period.

Rate is the rate of depreciation.

asis is the year basis to be used.

Basis Date system

0 or omitted360 days (NASD

method)1 Actual3 365 days in a year

4360 days in a year(European method)

Remarks

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 JanuarThis function will return the depreciation until the last period of the life of the assets or until the cumulated value of depreciation is greater than the cost of The depreciation coefficients are:

Life ofassets

(1/rate)

Depreciation

coefficient


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Between 3

and 4 years 1.5Between 5

and 6 years 2More than 6

years 2.5

The depreciation rate will grow to 50 percent for the period preceding the last period and will grow to 100 percent for the last period.If the life of assets is between 0 (zero) and 1, 1 and 2, 2 and 3, or 4 and 5, the #NUM! error value is returned.

Example

Data Description


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g period, the prorated depreciation is taken into account. The functi



minus the salvage value.


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AMORLINCReturns the depreciation for each accounting period. This function is provided for the French accounting system. If an asset is purchased in the middle of th


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AMORLINC(cost,date_purchased,first_period,salvage,period,rate,basis)


Cost is the cost of the asset.

Date_purchased is the date of the purchase of the asset.

irst_period is the date of the end of the first period.

alvage is the salvage value at the end of the life of the asset.

eriod is the period.

Rate is the rate of depreciation.

asis is the year basis to be used.

Basis Date system

0 or omitted360 days (NASD

method)1 Actual3 365 days in a year

4360 days in a year(European method)

Remark

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

xample


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g period, the prorated depreciation is taken into account.


erial number 39448 because it is 39,448 days after January 1, 1900


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COUPDAYBSReturns the number of days from the beginning of the coupon period to the settlement date.


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COUPDAYBS(settlement,maturity,frequency,basis)



Maturity is the security's maturity date. The maturity date is the date when the security expires.




1 Actual/actual2 Actual/3603 Actual/365

4 European 30/360

Remarks

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 JanuarThe 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, supposeAll arguments are truncated to integers.


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bond is issued on January 1, 2008, and is purchased by a buyer six


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COUPDAYSReturns the number of days in the coupon period that contains the settlement date.


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COUPDAYS(settlement,maturity,frequency,basis)







1 Actual/actual

2 Actual/3603 Actual/365

4 European 30/360


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COUPDAYSNCReturns the number of days from the settlement date to the next coupon date.


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COUPDAYSNC(settlement,maturity,frequency,basis)





Basis is the type of day count basis to use.



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COUPNCDReturns a number that represents the next coupon date after the settlement date.


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COUPNCD(settlement,maturity,frequency,basis)





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COUPNUMeturns the number of coupons payable between the settlement date and maturity date, rounded up to the nearest whole coupon.


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OUPNUM(settlement,maturity,frequency,basis)


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COUPPCDeturns a number that represents the previous coupon date before the settlement date.



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CUMIPMTeturns the cumulative interest paid on a loan between start_period and end_period.



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CUMPRINCeturns the cumulative principal paid on a loan between start_period and end_period.



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DBReturns the depreciation of an asset for a specified period using the f ixed-declining balance method.

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DDBReturns the depreciation of an asset for a specified period using the double-declining balance method or some other method you specify.

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DISCeturns the discount rate for a security.



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DOLLARDEonverts a dollar price expressed as a fraction into a dollar price expressed as a decimal number. Use DOLLARDE to convert fractional dollar numbers, such as



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ies prices, to decimal numbers.


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DOLLARFRonverts a dollar price expressed as a decimal number into a dollar price expressed as a fraction. Use DOLLARFR to convert decimal numbers to fractional dolla



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bers, such as securities prices.


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DURATIONeturns the Macauley duration for an assumed par value of $100. Duration is defined as the weighted average of the present value of the cash flows and is use



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measure of a bond price's response to changes in yield.


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EFFECTeturns the effective annual interest rate, given the nominal annual interest rate and the number of compounding periods per year.



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FVReturns the future value of an investment based on periodic, constant payments and a constant interest rate.

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FVSCHEDULEeturns the future value of an initial principal after applying a series of compound interest rates. Use FVSCHEDULE to calculate the future value of an investmen



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a variable or adjustable rate.


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NTRATEeturns the interest rate for a fully invested security.



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IPMTReturns the interest payment for a given period for an investment based on periodic, constant payments and a constant interest rate. For a more complete de

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f the arguments in IPMT and for more information about annuity fun


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IRRReturns the internal rate of return for a series of cash flows represented by the numbers in values. These cash flows do not have to be even, as they would

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nuity. However, the cash flows must occur at regular intervals, suc


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SPMTalculates the interest paid during a specific period of an investment. This function is provided for compatibility with Lotus 1-2-3.

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MDURATIONeturns the modified Macauley duration for a security with an assumed par value of $100.



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MIRReturns the modified internal rate of return for a series of periodic cash flows. MIRR considers both the cost of the investment and the interest received on reinv

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of cash.


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NOMINALeturns the nominal annual interest rate, given the effective rate and the number of compounding periods per year.



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NPEReturns the number of periods for an investment based on periodic, constant payments and a constant interest rate.

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ODDFPRICEeturns the price per $100 face value of a security having an odd (short or long) first period.



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ODDFYIELDeturns the yield of a security that has an odd (short or long) first period.



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ODDLPRICEeturns the price per $100 face value of a security having an odd (short or long) last coupon period.



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ODDLYIELDeturns the yield of a security that has an odd (short or long) last period.



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PMTalculates the payment for a loan based on constant payments and a constant interest rate.

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PPMTeturns the payment on the principal for a given period for an investment based on periodic, constant payments and a constant interest rate.

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PRICEeturns the price per $100 face value of a security that pays periodic interest.



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PRICEDISCeturns the price per $100 face value of a discounted security.



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PRICEMATeturns the price per $100 face value of a security that pays interest at maturity.



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PVReturns the present value of an investment. The present value is the total amount that a series of future payments is worth now. For example, when you borr

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he loan amount is the present value to the lender.


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RATEReturns the interest rate per period of an annuity. RATE is calculated by iteration and can have zero or more solutions. If the successive results of RATE do n

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ge to within 0.0000001 after 20 iterations, RATE returns the #NUM!


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RECEIVEDeturns the amount received at maturity for a fully invested security.



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SLNeturns the straight-line depreciation of an asset for one period.

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SYDeturns the sum-of-years' digits depreciation of an asset for a specified period.

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TBILLEQeturns the bond-equivalent yield for a Treasury bill.



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TBILLPRICEeturns the price per $100 face value for a Treasury bill.



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TBILLYIELDeturns the yield for a Treasury bill.



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VDBReturns the depreciation of an asset for any period you specify, including partial periods, using the double-declining balance method or some other method yo

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VDB stands for variable declining balance.


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XIRRReturns the internal rate of return for a schedule of cash flows that is not necessarily periodic. To calculate the internal rate of return for a series of periodic ca



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use the IRR function.


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XNPVReturns the net present value for a schedule of cash flows that is not necessarily periodic. To calculate the net present value for a series of cash flows that is



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se the NPV function.


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



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YIELDDISCeturns the annual yield for a discounted security.



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YIELDMATeturns the annual yield of a security that pays interest at maturity.



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FunctionACCRINT

ACCRINTM

AMORDEGRCAMORLINCCOUPDAYBSCOUPDAYSCOUPDAYSNCCOUPNCDCOUPNUMCOUPPCDCUMIPMT

CUMPRINCDB

DDBDISCDOLLARDEDOLLARFRDURATIONEFFECTFVFVSCHEDULE

INTRATEIPMTIRRISPMT

MDURATIONMIRRNOMINALNPERNPVODDFPRICEODDFYIELD

ODDLPRICEODDLYIELDPMTPPMTPRICEPRICEDISC

PRICEMATPVRATE

RECEIVEDSLNSYDTBILLEQTBILLPRICETBILLYIELD

Financi


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VDBXIRRXNPV

YIELDYIELDDISCYIELDMAT


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DescriptionReturns the accrued interest for a security that pays periodic interestReturns the accrued interest for a security that pays interest at maturity

Returns the depreciation for each accounting period by using a depreciation coefficientReturns the depreciation for each accounting periodReturns the number of days from the beginning of the coupon period to the settlement dateReturns the number of days in the coupon period that contains the settlement dateReturns the number of days from the settlement date to the next coupon dateReturns the next coupon date after the settlement dateReturns the number of coupons payable between the settlement date and maturity dateReturns the previous coupon date before the settlement date

Returns the cumulative interest paid between two periodsReturns the cumulative principal paid on a loan between two periodsReturns the depreciation of an asset for a specified period by using the fixed-declining balance methodReturns the depreciation of an asset for a specified period by using the double-declining balance method or some

other method that you specifyReturns the discount rate for a securityConverts a dollar price, expressed as a fraction, into a dollar price, expressed as a decimal numberConverts a dollar price, expressed as a decimal number, into a dollar price, expressed as a fractionReturns the annual duration of a security with periodic interest paymentsReturns the effective annual interest rate

Returns the future value of an investmentReturns the future value of an initial principal after applying a series of compound interest ratesReturns the interest rate for a fully invested securityReturns the interest payment for an investment for a given periodReturns the internal rate of return for a series of cash flowsCalculates the interest paid during a specific period of an investment

Returns the Macauley modified duration for a security with an assumed par value of $100Returns the internal rate of return where positive and negative cash flows are financed at different ratesReturns the annual nominal interest rateReturns the number of periods for an investment

Returns the net present value of an investment based on a series of periodic cash flows and a discount rateReturns the price per $100 face value of a security with an odd first periodReturns the yield of a security with an odd first periodReturns the price per $100 face value of a security with an odd last periodReturns the yield of a security with an odd last periodReturns the periodic payment for an annuityReturns the payment on the principal for an investment for a given periodReturns the price per $100 face value of a security that pays periodic interestReturns the price per $100 face value of a discounted security

Returns the price per $100 face value of a security that pays interest at maturityReturns the present value of an investmentReturns the interest rate per period of an annuityReturns the amount received at maturity for a fully invested securityReturns the straight-line depreciation of an asset for one periodReturns the sum-of-years' digits depreciation of an asset for a specified periodReturns the bond-equivalent yield for a Treasury billReturns the price per $100 face value for a Treasury billReturns the yield for a Treasury bill

l functions


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Returns the depreciation of an asset for a specified or partial period by using a declining balance method

Returns the internal rate of return for a schedule of cash flows that is not necessarily periodicReturns the net present value for a schedule of cash flows that is not necessarily periodicReturns the yield on a security that pays periodic interestReturns the annual yield for a discounted security; for example, a Treasury billReturns the annual yield of a security that pays interest at maturity


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SUN MON TUE WED THU FRI SAT SUN MON TUE WED THU FRI SAT SUN MON TUE WED THU

1 2 3 1 2 3 4 5 6 7 1 2 3 4 54 5 6 7 8 9 10 8 9 10 11 12 13 14 8 9 10 11 12

11 12 13 14 15 16 17 15 16 17 18 19 20 21 15 16 17 18 19

18 19 20 21 22 23 24 22 23 24 25 26 27 28 22 23 24 25 26

25 26 27 28 29 30 31 29 30 31


1 2 3 4 1 2 1 2 3 4

5 6 7 8 9 10 11 3 4 5 6 7 8 9 7 8 9 10 11

12 13 14 15 16 17 18 10 11 12 13 14 15 16 14 15 16 17 18

19 20 21 22 23 24 25 17 18 19 20 21 22 23 21 22 23 24 25

26 27 28 29 30 24 25 26 27 28 29 30 28 29 30

31


1 2 3 4 1 1 2 3

5 6 7 8 9 10 11 2 3 4 5 6 7 8 6 7 8 9 10

12 13 14 15 16 17 18 9 10 11 12 13 14 15 13 14 15 16 17

19 20 21 22 23 24 25 16 17 18 19 20 21 22 20 21 22 23 24

26 27 28 29 30 31 23 24 25 26 27 28 29 27 28 29 30

30 31


1 2 3 1 2 3 4 5 6 7 1 2 3

4 5 6 7 8 9 10 8 9 10 11 12 13 14 6 7 8 9 10

11 12 13 14 15 16 17 15 16 17 18 19 20 21 13 14 15 16 17

18 19 20 21 22 23 24 22 23 24 25 26 27 28 20 21 22 23 24

25 26 27 28 29 30 31 29 30 27 28 29 30 31

MARCH

JUNEMAYAPRIL

JANUARY FEBRUARY

2009ALENDAR

JULY AUGUST SEPTEMBER

DECEMBERNOVEMBEROCTOBER


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1

2

The Analysis Tofunctions whichfunctions coveroperations.

Some of the For

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olPak is an add-in file containing extraare not built in to Excel. Theareas such as Date and Mathematical

mulas required this Analysis ToolPak

Excel FinanceFormulas Vol[1].2.0.0

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