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389
Chapter 24: Loans
Author: Joseph Rubin, CPA                                     www.exceltip.com
delayed.  The  loan  agreement  stipulates  the  month  in  which  the
repayment of principal begins. The interest on the loan is calculated and
the first interest payment starts with the first month after the month that
the loan was accepted.
See the example in the figure below. Note that the formulas used are not
PPMT  and  IPMT;  these  formulas  are  not  appropriate  when  the
calculations are not linear.
Amortization schedule for random payment
See  the  formulas  in  the  figure  below  for  calculating  the  sum of  the
principal and interest in every payment.
The dates of the loan repayment are random. The interest is calculated
according to the number of interest days divided by 365 days in a year.
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390
Chapter 24: Loans
Author: Joseph Rubin, CPA                                     www.exceltip.com
Table for Calculating Payments for a Loan
with Two Variables
The amount of money you want to borrow depends on your ability to
make regular monthly payments. The monthly repayment sum is, in turn,
affected by the amount of the loan, the period of the loan and the amount
of interest.
To help you make a decision as to how much money you can safely
borrow, see the table below which displays various loan repayment sum
calculations when one of the three variables is constant and the others
vary. The table is created by using Table, Data Table . For additional
explanations about using the Table technique, see Chapter 25, What-if.
The data and formula in the table:
Number of payments is constant—36 (you can change this number at
will).
First variable—Amount of the loan, between \$10,000 and \$100,000; see
row 6 in the figure.
Second variable—Interest rate, between 4% and 10%; see column B in
the figure.
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391
Chapter 24: Loans
Author: Joseph Rubin, CPA                                     www.exceltip.com
Formula  PMT  is  in  cell  B6.  This  formula  returns  the  amount  of  the
monthly loan payment (principal plus interest). The cells that input the
formula are D2:D4.
The formula in the formula bar in the table:
The formulas from a value called TABLE return the monthly payment
sum. The two variables that input the formula are in the column and the
row.
The formulas from a value called TABLE are automatically input into the
cells by using the Table technique. The formula syntax is =TABLE (D4,
D2).  You cannot enter the function directly.  You must follow the steps in
the section “How to create a table with two variables.”
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392
Chapter 24: Loans
Author: Joseph Rubin, CPA                                     www.exceltip.com
How to create a table with two variables
1.  Enter the loan data in the sheet according to the example rows 1-4 in
the figure.
2.  Enter the PMT formula =PMT(D2/12,D3,-D4) in cell B6. Note that the
formula’s arguments point to the D2:D4 cells.
3.  Enter the various interest percentages in column B under the PMT
formula. Enter the various loan sums in the heading row of the table,
cells C6 until G6.
4.  Select the B6:G40 range (the PMT formula in the upper corner).
5.  From the Data menu, select Table
6.  In  the Row input cell  box,  select  D4,  the
amount of the loan.
7.  In the Column input cell box, select cell D2,
the interest %.
8.  Click OK
Excel will fill in the body of the data table. The cells in this range
will show the results of substituting different values in the base
formula.
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393
Chapter 25: What-If
Author: Joseph Rubin, CPA                                     www.exceltip.com
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Excel also offers a number of techniques called What-if analyses for
calculating profitability and enhancing decision-making.  This chapter will
also cover:
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Performing sensitivity analysis by using Data Tables
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Using Goal Seeking to find solutions.
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Using Solver to find the optimal solutions under constraints.
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Creating various economic models using Scenarios
Sensitivity Analysis (Data Table)
Chapter 24, Loans, explained how to use a Table to create two-variable
Data TablesTable generates and displays the results of the calculation
for  monthly  loan  payments  when  one  of  the  three  arguments  in  the
calculation is a constant and the other two are variable.
Example: See figure below - Calculating the Break-Even Point.
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394
Chapter 25: What-If
Author: Joseph Rubin, CPA                                     www.exceltip.com
The Break-Even Point in the model is the result of the quantity of sales
required to cover both direct and fixed costs. Any quantity that is sold
above the calculated break-even point will yield net income; any quantity
that is sold below the calculated break-even point will yield a loss.
Data  regarding  sales  and  costs  have  been  input  into  the  worksheet
above in columns A:C. The results of the calculations appear in cell C15
and represent the loss from the sale of 3000 units.
Creating a Data Table
Enter  the  sales  and  cost  data  into  the  worksheet  (according  to  the
example).
1.  Assign the following Names:  cell  C6 – Sales,  cell  C13  –
Expenses
2.  Enter the following formulas into cells F6:H6, according to the
list below:
Cell
Insert this:
F6
Formula: =Sales
G6
Formula: =Expenses
H6
=F6-G6  (the  difference  between  sales  and
expenses).
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395
Chapter 25: What-If
Author: Joseph Rubin, CPA                                     www.exceltip.com
3.  Enter different quantities of sales into range E7:E15.
4.  Select the table in range E6:H15. Be careful to include the
header row that contains the formulas, as well as  the left
column with the sales quantities.
5.  From the Data menu, select Table
6.  In Row input cell, select cell B4.
7.  Click OK
View the results (in the figure in the previous page). In the cell range
F7:H15, formulas of the TABLE type appear. The break-even point in the
example  is between 4,000 and 4,500 units (the  exact result is  4,348
units).
Even Point
1.  Select
the
range
E6:G15  (without  the
formulas in column H).
2.  Click the Chart Wizard
option  in  the  Standard
396
Chapter 25: What-If
Author: Joseph Rubin, CPA                                     www.exceltip.com
Toolbar.
3.  In Step 1 of 4, select the Standard Type tab. Under Chart type,
select Line and click Next
4.  In Step 2 of 4, click Next
5.  In Step 3 of 4, type Break-Even Point in the Chart title box. Type
Units in the Category (X) axis box. Type Sales in the Value (Y) axis
box. Click Next
6.  In Step 4 of 4, click Finish
7.  Select the chart, right-click and select Cut
8.  Select another worksheet in the workbook and press Ctrl+V (paste).
Modify and improve the chart as you wish.
Finding a Solution by Goal Seeking
By using the Goal Seek technique, you can compute an unknown value
that produces the result you want. Goal Seek varies the value in one
specific cell until a formula that is dependent on that cell returns the
result you want. See the examples below which clarify this principle.
Calculating the sales required to achieve desired
profits
Calculate the number of units you must sell of Item 1 in order to achieve
net income of \$50,000. The result is 30,713 units.