Known that:
FV function: future value of constant payments at constant interest rate
FVschedule function: future value of no payments at variable compound interest
My task is to calculate the future value of constant payments at variable interest rate.
Say the principal is 10,000. Annual rate is 5%. Tenor with 2 monthly period starting at Jan. The periodic payment in arrear is 1,300.
Interest for Jan is calculated as (10,000 * 5% * 31 / 360 = 43) The principal repaid is (1,300 - 43) = 1,257.
Interest for Feb is calculated as ((10,000-1,257) * 5% * 28 / 360 = 34) The principal repaid is (1,300 - 34) = 1,266.
The future value (aka balloon payment) would be 10,000 - 1,257 - 1,266 = 7,477.
So I would like to know if there is a formula could calculate 7,477 by inputting the above data, rather than calculate the whole repayment schedule each time.
Thank you for your help.
I do not think there is such a function. There is however a way how to approach this in an excel-like manner. As you correctly anticipated, excel is just the right tool for that, as it can re-calculate the whole repayment schedule each time, many times a second.
First, collect the parameters like that to the columns K & L
Second, create a table with the schedule. First column label Date and it will be the date of the last days of the months. Lets assume that you start with the first day of the current month, so the first row will be
=EOMONTH($L$6;[#Period])
where $L$6 is the cell with start date. The next column [#Period] has just the count of the schedule periods, i.e. 1,2,3,4... as many as you like. You can use formula
=ROW()-1
for that.
Next column label Days with formula
=DAY([#Date])
That is for calculating the effective interest rate.
Next column label Aliquote with formula
=[#Days]/$L$2
with the effective interest rate for the current period (month).
Now it gets interesting. The next columns label B/O for the beggining of month outstanding amount
=$L$4-SUM(G$1:G1)
and copy/past for the next rows. It calculates the outstanding amount based on the principal parameter stored in L4 by subtracting the sum of Amortizations in the column G we create next.
Next column is then labeled interest
=$L$3*[#Aliquote]*[#[B/O]]
where L3 refers the parameter with the nominal interest rate.
and the next column is labeled Amortization
=$L$5-[#Interest]
calculated from the periodic arrears stored in L5.
The last column is labeled C/O for the close of the month outstanding amount.
=[#[B/O]]-[#Amortization]
If you have done it correctly, it shows you the C/O values running towards zero and then of course negative in the 8th period onward. You can change the parameters to get adjust it for the scenario you need.
Related
I have looked into the Forcast & Trend formula but I cannot figure it out for the life of me.
I want to work out the trend 14 days from now.
I have a set of data:
A1 - A30 with dates
B1 - B30 with daily ticket count for the business.
I would like to make a result in another cell that would predict what the estimated total ticket count would be 14 days from now. I do not need all 14 days, just the 14th day.
If I was to try show you what the formula looks like in my head it would be:
=trend/forecast(B1:B30,14)
or
=Predict(B1:B30)*14
Unfortunately it is not as easy as that. How can I do this?
I think you want to use the Forecast function. The inputs you have do not match the correct format though.
FORECAST( x, known y's, known x's) where...
x = the series (or date) you want to forecast
known y's = historical tickets per day
known x's = historical dates (or series)
The below example allows you to forecast tickets for any date (Forecasted Date) given the historical information (table on left). If your table is not formatted with actual dates, just create a series (first day = 1, second day = 2, etc.) and forecast that way.
Given the historical data, the forecasted tickets for Aug 28th (14 days after last known value) are 16.7
I'm trying to calculate the remaining balance of a home loan at any point in time for multiple home loans.
Its looks like it is not possible to find the home loan balance w/ out creating one of those long tables (example). Finding the future balance for multiple home loans would require setting up a table for ea. home (in this case, 25).
With a table, when you want to look at the balance after a certain amount of payments have been made for the home loan, you would just visually scan the table for that period...
But is there any single formula which shows the remaining loan balance by just changing the "time" variable? (# of years/mths in the future)...
An example of the information I'm trying to find is "what would be the remaining balance on a home loan with the following criteria after 10 years":
original loan amt: $100K
term: 30-yr
rate: 5%
mthly pmts: $536.82
pmts per yr: 12
I'd hate to have to create 25 different amortization schedules - a lot of copy-paste-dragging...
Thanks in advance!
You're looking for =FV(), or "future value).
The function needs 5 inputs, as follows:
=FV(rate, nper, pmt, pv, type)
Where:
rate = interest rate for the period of interest. In this case, you are making payments and compounding interest monthly, so your interest rate would be 0.05/12 = 0.00417
nper = the number of periods elapsed. This is your 'time' variable, in this case, number of months elapsed.
pmt = the payment in each period. in your case $536.82.
pv = the 'present value', in this case the principle of the loan at the start, or -100,000. Note that for a debt example, you can use a negative value here.
type = Whether payments are made at the beginning (1) or end (0) of the period.
In your example, to calculate the principle after 10 years, you could use:
=FV(0.05/12,10*12,536.82,-100000,0)
Which produces:
=81,342.32
For a loan this size, you would have $81,342.32 left to pay off after 10 years.
I don't like to post answer when there already exist a brilliant answer, but I want to give some views. Understanding why the formula works and why you should use FV as P.J correctly states!
They use PV in the example and you can always double-check Present Value (PV) vs Future Value (FV), why?
Because they are linked to each other.
FV is the compounded value of PV.
PV is the discounted value at interest rate of FV.
Which can be illustrated in this graph, source link:
In the example below, where I replicated the way the example calculate PV (Column E the example from excel-easy, Loan Amortization Schedule) and in Column F we use Excel's build in function PV. You want to know the other way... therefore FV Column J.
Since they are linked they need to give the same Cash Flows over time (bit more tricky if the period/interest rate is not constant over time)!!
And they indeed do:
Payment number is the number of periods you want to look at (10 year * 12 payments per year = 120, yellow cells).
PV function is composed by:
rate: discount rate per period
nper: total amount of periods left. (total periods - current period), (12*30-120)
pmt: the fixed amount paid every month
FV: is the value of the loan in the future at end after 360 periods (after 30 year * 12 payments per year). A future value of a loan at the end is always 0.
Type: when payments occur in the year, usually calculated at the end.
PV: 0.05/12, (12*30)-120, 536.82 ,0 , 0 = 81 342.06
=
FV: 0.05/12, 120, 536.82 , 100 000.00 , 0 = -81 342.06
I am trying to create a forecast tool that shows a smooth growth rate over a determined number of steps while adding up to a determined value. We have variables tied to certain sales values and want to illustrate different growth patterns. I am looking for a formula that would help us to determine the values of each individual step.
as an example: say we wanted to illustrate 100 units sold, starting with sales of 19 units, over 4 months with an even growth rate we would need to have individual month sales of 19, 23, 27 and 31. We can find these values with a lot of trial and error, but I am hoping that there is a formula that I could use to automatically calculate the values.
We will have a starting value (current or last month sales), a total amount of sales that we want to illustrate, and a period of time that we want to evaluate -- so all I am missing is a way to determine the change needed between individual values.
This basically is a problem in sequences and series. If the starting sales number is a, the difference in sales numbers between consecutive months is d, and the number of months is n, then the total sales is
S = n/2 * [2*a + (n-1) * d]
In your example, a=19, n=4, and S=100, with d unknown. That equation is easy to solve for d, and we get
d = 2 * (S - a * n) / (n * (n - 1))
There are other ways to write that, of course. If you substitute your example values into that expression, you get d=4, so the sales values increase by 4 each month.
For excel you can use this formula:
=IF(D1<>"",(D1-1)*($B$1-$B$2*$B$3)/SUMPRODUCT(ROW($A$1:INDEX(A:A,$B$3-1)))+$B$2,"")
I would recommend using Excel.
This is simply a Y=mX+b equation.
Assuming you want a steady growth rate over a time with x periods you can use this formula to determine the slope of your line (growth rate - designated as 'm'). As long as you have your two data points (starting sales value & ending sales value) you can find 'm' using
m = (y2-y1) / (x2-x1)
That will calculate the slope. Y2 represents your final sales goal. Y1 represents your current sales level. X2 is your number of periods in the period of performance (so how many months are you giving to achieve the goal). X1 = 0 since it represents today which is time period 0.
Once you solve for 'm' this will plug into the formula y=mX+b. Your 'b' in this scenario will always be equal to your current sales level (this represents the y intercept).
Then all you have to do to calculate the new 'Y' which represents the sales level at any period by plugging in any X value you choose. So if you are in the first month, then x=1. If you are in the second month X=2. The 'm' & 'b' stay the same.
See the Excel template below which serves as a rudimentary model. The yellow boxes can be filled in by the user and the white boxes should be left as formulas.
I am measuring room utilization (time used/time available) from a data dump. Each row contains the available time for the day and the time used for a particular case.
The image is a simplified version of the data.
If you read the yellow and green highlights (Room 1):
In room 1, there are 200 available minutes on 1/1/2016.
Case 1 took 60 minutes, case 2 took 50 minutes.
There are 500 available minutes on 1/2/2016, and only one case occurred that day, using 350 minutes.
Room 1 utilization = (60 + 50 + 350)/(200 + 500)
The problem with summing the available time is that it double counts the 200 minutes for 1/1/2016, giving: Utilization = (60+50+350)/(200+200+500)
There are hundreds of rows in this data (and there will be multiple data dumps of differing #'s of rows) with multiple cases occurring each day.
I am trying to use a pivot table, but I cannot obtain the 'sum of averages' for a particular room (see image). I am using a macro to pull the numbers out of the grand total column.
Is this possible? Do you see another way to obtain utilization?
(note: there are lots of other columns in the data, like case start, case end, day of week, etc, that are not used in this calculation but are available)
The reason that you're getting 300 for both Average of Available Time columns is because the grand total is a grand total based on the overall average and not a sum of the averages.
Room 1: 200 + 200 + 500 / 3 = 300
Room 2: 300 + 300 + 300 / 3 = 300
I could not comment on the original question, so my solution is based on a few assumptions.
Assumption #1: The data will always be grouped. E.G. All cases in room 1 on a given day will grouped in sequential rows.
Assumption #2: The available time column is a single value for the whole day, there will never be differing available times on the same day.
Solution: Use column E as the Actual Available Time. This column will use a formula to determine if the current row has a unique combination (Date + Room + Available Time) to the previous and if so, the cell will contain that row's available time.
Formula to use in E2:
=IF(AND($A1 = $A2, $B1 = $B2, $C1 = $C2), 0, $C2)
Extend the formula as far down as necessary and then include the new column in your PivotTable data range.
End Result
I created a unique reference by combining columns and then used sumif/countif/countif.
So the formula in column E would be:
=sumif(colB,cellB,ColC)/Countif(colB,cellE)/Countif(colB,cellE)
Doesn't matter if the data is in order or not then.
Extend the formula as far down as necessary and then include the new column in your PivotTable data range.
The easiest method I would recommend is this.
=SUM(H:H)-GETPIVOTDATA("Average of Available Time",$G$3)
The first term sums the H column, and the second term subtracts the grand total value. It is a dynamic solution, and will change to fit the size of the pivot table.
My assumptions are that the Pivot Table was originally placed in cell G3.
I'm trying to find the maximum value from the 15 minute interval data that has dates associated with each row seen below:
DATE UOM 00:01-00:15 kW 00:16-00:30 kW 00:31-00:45 kW 00:46-01:00 kW
7/1/2010 KW 907.2 892.8 883.2 883.2
7/2/2010 KW 907.2 849.6 859.2 825.6
7/3/2010 KW 811.2 806.4 806.4 801.6
7/4/2010 KW 763.2 768 758.4 772.8
This data is electrical demands for my school's campus, and I'm trying to find peak, partial peak, and off peak maximum demands. There are approximately 4 years of data with each row consisting of a single data.
Peak hours occur during 12:00 - 18:00 hours
Partial Peak occurs during 08:31 - 11:59 & 18:00 21:30
Off Peak occurs during 21:30 - 08:30
I'd like to be able to get those values for each month of each year. But so far the logic isn't coming to me, and everything I'm looking up just shows me index-match tutorials. Any help would be greatly appreciated.
Simply use MAX or a combination of two MAX functions in order to determine maximums for any given timespan.
In my screenshot, you can see how the ranges are defined by the columns. Therefore you may have to adjust the ranges to correspond to your actual spreadsheet.
For example, for cell CW1 it uses the formula =MAX($AY2:$BV2). This determines the value of the maximum value for all 15-minute time spans within that range. Because 12:01 occurs in column AY, and 18:00 ends in column BV, it's possible to find the maximum between 12:01 - 18:00 by using the MAX function.
For time spans that are not continuous, we can split them into multiple ranges. For CX and CY we do this by using two MAX functions. So a maximum value is retrieved for each continuous time span, and then the outer MAX determines the maximum of the two local maximums.
Therefore, for CX:
=MAX(MAX($AK2:$AX2),MAX($BW2:$CJ2))
For CY:
=MAX(MAX($C2:$AJ2),MAX($CK2:$CT2))
Note that I don't have your full data set, so these values are garbage.