LOGO Chapter VI Advanced Functions 1

LOGO Overview  INTRODUCTION  NESTED FUNCTIONS  LOOKUP  VLOOKUP  COUNTIF  SUMIF  IF  ROUND  THE PMT, IPMT AND PPMT FUNCTIONS IN EXCEL 2

LOGO Introduction  This section Goes a little further and looks at the more advanced types of formulas and functions you can use.  In other words, this section will raise your level from skilled user to advanced user.  Excel has a myriad of functions that you can use in your formulas. 3

LOGO Nested Functions  When you write a formula, you can use functions as arguments inside other functions. You might  Want to calculate the square root of a sum of a series of cells. It could look like this: =SQRT(SUM(B2:B20)) 4

LOGO Nested Functions  Nested functions use a function as one of the arguments of another function. You can nest up to 64 levels of functions. The following formula sums a set of numbers (G2:G5) only if the average of another set of numbers (F2:F5) is greater than 50. Otherwise it returns 0.  =IF(AVERAGE(F2:F6)>5,SUM(F2:F6),0)  The AVERAGE and SUM functions are nested within the IF function. 5

LOGO LOOKUP  It returns a value either from a one-row or one-column range or from an array,  the LOOKUP functions has two syntax forms:  the vector form  the array form. 6

LOGO Vector form  A vector is a range of only one row or one column.  The vector form of LOOKUP looks in a one row or one-column range (known as a vector) for a value and returns a value from the same position in a second one- row or one-column range. 7

LOGO Vector form  LOOKUP (lookup_value,lookup_vector,result_vector)  Lookup_value: A value that LOOKUP searches for in the first vector.  Lookup_vector: A range that contains only one row or one column.  Result_vector: A range that contains only one row or column. It must be the same size as lookup_vector. 8

LOGO Remarks  If LOOKUP can't find the lookup_value, it matches the largest value in lookup_vector that is less than or equal to lookup_value.  If lookup_value is smaller than the smallest value in lookup_vector, LOOKUP gives the #N/A error value. 9

LOGO Example 10

LOGO Example 11 Formula Description (Result =LOOKUP(4.19,A2:A6,B2:B6) Looks up 4.19 in column A, and returns the value from column B that's in the same row (orange) =LOOKUP(5.00,A2:A6,B2:B6) Looks up 5.00 in column A, matches the next smallest value (4.19), and returns the value from column B that's in the same row (orange) =LOOKUP(7.66,A2:A6,B2:B6) Looks up 7.66 in column A, matches the next smallest value (6.39), and returns the value from column B that's in the same row (blue) =LOOKUP(0,A2:A6,B2:B6) Looks up 0 in column A, and returns an error because 0 is less than the smallest value in the lookup_vector A2:A7 (#N/A)

LOGO Array form  The array form of LOOKUP looks in the first row or column of an array (array: Used to build single formulas that produce multiple results or that operate on a group of arguments that are arranged in rows and columns. 12

LOGO Array form  Use this form of LOOKUP when the values that you want to match are in the first row or column of the array.  Use the other form of LOOKUP when you want to specify the location of the column or row. 13

LOGO Array form  LOOKUP(lookup_value,array)  Lookup_value: A value that LOOKUP searches for in an array.  Lookup value can be a number, text, a logical value, or a name or reference that refers to a value.  Array: A range of cells that contains text, numbers, or logical values that you want to compare wit lookup_value. 14

LOGO Example 15

LOGO 16 Formula =LOOKUP(A2,{0,60,70,80,90},{"F","D","C","B","A"}) =LOOKUP(A3,{0,60,70,80,90},{"F","D","C","B","A"}) =LOOKUP(A4,{0,60,70,80,90},{"F","D","C","B","A"}) =LOOKUP(A2,{0,60,63,67,70,73,77,80,83,87,90,93,97},{"F","D- ","D","D+","C-","C","C+","B-","B","B+","A-","A","A+"}) =LOOKUP(A3,{0,60,63,67,70,73,77,80,83,87,90,93,97},{"F","D- ","D","D+","C-","C","C+","B- ","B","B+","A-","A","A+"}) =LOOKUP(A4,{0,60,63,67,70,73,77,80,83,87,90,93,97},{"F","D- ","D","D+","C-","C","C+","B-","B","B+","A-","A","A+"})

LOGO VLOOKUP (Vertical Lookup) VLOOKUP finds values in a table using a search value.  The syntax is:  =VLOOKUP ( lookup_value; table_array; col_index_num;equals) 17

LOGO VLOOKUP (Vertical Lookup) 18

LOGO VLOOKUP (Vertical Lookup)  In Figure there is an example of the membership index. To the left is the actual table in the cell range A4:D11 with members listed.  To the right of the table, there is something which can look up members using the number typed into cell F4.  To be able to look up members' names, the formula in cell G4 is as follows:  =VLOOKUP (F4, A4: D13, 2, FALSE)  To look up address and telephone number the col_index_num should be 3 and 4 respectively. 19

LOGO VLOOKUP (Vertical Lookup) Equals: A logical value that specifies whether you want VLOOKUP to find an exact match or an approximate match: If TRUE or omitted, an exact or approximate match is returned. If FALSE, VLOOKUP will only find an exact match. 20

LOGO VLOOKUP (Vertical Lookup) Equals: A logical value that specifies whether you want VLOOKUP to find an exact match or an approximate match: If TRUE or omitted, an exact or approximate match is returned. If FALSE, VLOOKUP will only find an exact match. 21

LOGO VLOOKUP (Vertical Lookup) If you did not find what you searched show Message Employee Not found. =IF(ISNA(VLOOKUP(L10,City,2,FALSE)) = TRUE, "Employee not found", VLOOKUP(L10,City,2,FALSE)) 22

LOGO COUNTIF Counts the number of cells within a range that meet the given criteria.  Syntax  COUNTIF(range,criteria) 23

LOGO COUNTIF 24

LOGO COUNTIF 25 FormulaDescription (result) =COUNTIF(A2:A5,"apples")Number of cells with apples in the first column above (2) =COUNTIF(A2:A5,A4)Number of cells with peaches in the first column above (1) =COUNTIF(A2:A5,A3)+COUNTIF(A2:A5,A2)Number of cells with oranges and apples in the first column above (3) =COUNTIF(B2:B5,">55")Number of cells with a value greater than 55 in the second column above (2) =COUNTIF(B2:B5,"<>"&B4)Number of cells with a value not equal to 75 in the second column above (3) =COUNTIF(B2:B5,">=32")- COUNTIF(B2:B5,">85") Number of cells with a value greater than or equal to 32 and less than or equal to 85 in the second column above (3)

LOGO COUNTA Counts the number of cells that are not empty Use COUNTA to count the number of cells that contain data in a range or array.  Syntax  COUNTIF(range,criteria) 26

LOGO COUNTA 27

LOGO COUNTBLANK  Counts empty cells in a specified range of cells.  Syntax =COUNTBLANK(range)  Range is the range from which you want to count the blank cells. =COUNTBLANK(A2:B5) 28

LOGO SUMIF  Adds numbers in a table together on condition that they, or other values in same row, meet a certain criterion  Syntax =SUMIF (range,criteria,sum_range) 29

LOGO SUMIF 30

LOGO SUMIF  =SUMIF(A2:A5,">160000",B2:B5)  Sum of the commissions for property values over 160,000 (63,000)  =SUMIF(A2:A5,">160000")  Sum of the property values over 160,000 (900,000)  =SUMIF(A2:A5,"=300000",B2:B3)  Sum of the commissions for property values equal to 300,000 (21,000) 31

LOGO IF  Use IF to conduct conditional tests on values and formulas, This function returns one value if a condition you specify evaluates to TRUE and another value if it evaluates to FALSE. Up to seven IF functions can be nested to construct more elaborate tests.·  Syntax  IF(logical_test,value_if_true,value_if_fal se) 32

LOGO IF 33  =IF(A2<=100,"Within budget","Over budget")  If the number above is less than or equal to 100, then the  formula displays "Within budget". Otherwise, the function  displays "Over budget" (Within budget)  =IF(A2=100,SUM(B5:B15),"")  If the number above is 100, then the range B5:B15 is  calculated. Otherwise, empty text ("") is returned ()

LOGO IF 34  =IF(A2>89,"A",IF(A2>79,"B",IF(A2>69,"C", IF(A2>59,"D","F"))))  Assigns a letter grade to the first score (F)  =IF(A3>89,"A",IF(A3>79,"B",IF(A3>69,"C", IF(A3>59,"D","F"))))  Assigns a letter grade to the second score (A)  =IF(A4>89,"A",IF(A4>79,"B",IF(A4>69,"C", IF(A4>59,"D","F"))))

LOGO Rounding Numbers 35  Rounds a number to a specified number of digits, for the number argument you can either enter a number or a cell reference. For the num digits argument you need to specify the number of digits to which you want to round.  =ROUND (number,num_digits)  If num_digits is greater than zero, then number is rounded to the specified number of decimalplaces.  If num_digits is 0, then number is rounded to the nearest integer.  If num_digits is less than 0, then number is rounded to the left of the decimal point.

LOGO Rounding Numbers 36  Examples:  =ROUND (123.45,1) will equal  =ROUND (123.45,0) will equal 123  =ROUND (123.45,-2) will equal 100

LOGO The PMT, IPMT and PPMT Functions in Excel 37  This section summarizes how to use the three Excel payment functions, PMT, IPMT and PPMT to calculate loan, interest and capital repayments for each repayment period and help you understand how the proportions of interest and capital repayments change over the life of the  loan.

LOGO The PMT, IPMT and PPMT Functions in Excel 38  The parts of the PMT function are  =PMT (Interest,periods, Amount).  Suppose we enter the annual interest rate as 4% in cell B2, the term in years as 25 in cell B3, and the loan amount 100,000 in cell B4. We want to calculate the monthly  repayment amount in cell B5.

LOGO The PMT, IPMT and PPMT Functions in Excel 39  Because we want to work out the monthly repayments, we need to enter the interest rate per month, and the loan term in months. So the interest rate will be B2/12 and the term will beB3*12  To calculate the monthly repayment in cell B5 we type the following:  =PMT (B2/12, B3*12,B4)  and press the Enter key. The resulting outgoing monthly payment will show as  To make this a positive use  =-PMT(B2/12, B3*12, B4)

LOGO The PMT, IPMT and PPMT Functions in Excel 40  The parts of the IPMT functions are  =IPMT (Interest, period number, periods, Amount).  You can see the extra element "period number" in this function compared to the PMT function.  In this example we want to calculate the interest payment for period 1 (the first month).

LOGO The PMT, IPMT and PPMT Functions in Excel 41  Using the Excel PPMT Function to calculate the first month's capital repayment  The PPMT function works in the same way but calculates the capital repayment for each period  for the capital loan taken out over a term at a fixed interest rate. The parts of the PPMT  functions are  =PPMT (Interest, period number, periods, Amount).

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