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Cumulative Interest Formula


I have a person who was paid £1000 pension pa for ten years. I've found out that the pension should have been split 50/50 with half increasing by 5% pa. Thus in year 1 total pension would be £1000. In year 2 the total pension would be £1025 ((£500 x 1.05) plus £500)

I know that in year 10 the total pension should be £500 (non increasing) plus £814 (£500 x 1.05 to the power of ten). My problem is how do I work out a formula which calculates the total arrears due in year ten? I'm thinking the arrears due after the ten years is £314 but something is telling me it's a lot more.


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Cumulative Total With Single Data Entry
I would like to be able to enter a number in a single column, and then Excel adds this number to a total column each time it is updated.

This is for entering via a PDA, so I need a simple entry method, ie to enter a figure, and then keep a running total every time a new figure is entered. This would only use the one column and overwrite the number each time, rather than adding up individual columns.

The attachment shows the items listed in column A, column C3 - C10 would be where I would like the number of items entered, and as I go round, I would just update the last figure. I would like the figures from C3 - C10 to be added to the Total column D3 - D10 for each item.


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Cumulative Sum (convert Into Terms Is SIGMA)
I have, for my formula, 2 constant values a and x, I then also have a variable, n. The formula I'm trying to convert into excel terms is
SIGMA (with respect from 1 upto n) ((1-x)^(1-n) * x)*a. Unfortunatly thats not drastically inteligable so i've attached a picture file that should explain it in more understandable terms. Now the problem im having is, sigma is a cummulative funtion, which in this example is relative to the variable n, firstly I don't know what formulas I would have to use in order to get a sigma/summination function, and secondly I am uncertain of how to link it to a variable range.

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Conditional And Cumulative Subtraction That Starts Over Again When The Value In A Column Changes
I am attempting to perform a cumulative subtraction function that starts over again when the value in a column changes. I have a list that is sorted by a column for item number. The other two columns show the amount we have in stock and the amount being ordered against that stock. The order of rows IS relevant and cannot be changed.

Sample output is attached, with the "given" data outlined in a bold border. The only way I have figured out to do this is to nest a whole lot of IF statements in a formula, which is not very elegant or easy to do, and is limited by the number of IF statements that can be nested.

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Canadian Mortgage Calulator - Interest Savings
I'm attempting to build a Mortgage payment calculator which calculates interest semi-annually. The goal of the calculator is to determine how much interest you would save if your payments were set to Accelerated Bi-weekly, and Accerlerated Weekly vs. Monthly.

I've already calculated what the payments would be for each payment type, however I'm not able to determine what the interest savings would be.


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Effective Rate Calculation, Interest Only Loan
I have a calculation I do that calculates a clients "effective interest rate" if they make extra payments towards principal.. Calculation works fine.. However, I am now trying to figure out how to amend that code if it's an interest only loan, anyone have any ideas?

Here is the effective rate calcs on a random normal amortization loan:

this is in B2, and answer is 7%
=RATE(B4*B5,-((B3+B7)/B6),B7)*12

B3 = Total*Interest 279017.8
B4 = #*Years*in*Loan 30
B5 = #*Payments*/*Year 12
B6 = Total*Payments 360
B7 = Beginning*Principal 200000
B8 - Ending*Balance 0
problem is when someone is on an interest only loan they pay more interest than a normal amortization because they are not reducing the principal in the first x number of years. So I need to compare the interest only effective rate to an interest only loan.

Here is the example I'm working on... A client's loan is the following:
Loan amount - 131,538
interest rate - 6.15
30 year amortization
10 years interest only

normal client would pay an interest only payment of 674.13, then after i/o period would go to 953.80 for last 20 years of the loan, and they'd pay about $178k in interest.. Now if that client pays an extra 1,000 per year, I can calculate the amount of interest they'd accrue, but have no clue how to back into the "effective interest rate", basically that says you are paying the same amount of interest as someone with a x.xx% interest only loan.

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Calculate Compound Interest With Capped Earnings
I'm trying to come up with a way of calculating Money earned over time by compounding interest, but with a twist. After reaching a set amount of money, all money above and beyond does not gain interest. example:

Principal: $120 (user input value)
Duration: 9 (user input value in days, compounding daily)
%Intertest: 4% (user selected value, either 2% or 4%)
Max interest you can earn: $6 (fixed)
Max interest generating money: $150 (variable dependant on %interest, = $150 or $300)
Response/Answer is final value. I don't need the daily results like the example.
Result would be: $170.84
$124.80 (4.80 interest)
$129.79 (4.99)
$134.98 (5.19)
$140.38 (5.40)
$146.00 (5.62)
$151.84 (5.84)
$157.84 (6.00 reached the max interest level)
$163.84 (6.00)
$170.84 (6.00)

my equations I have so far only do one (below 150 total) or the other (above) but not both. and its just a regular formula: =IF(P<M,IF(P*I^D<M+1,P*I^D,"over limit"),P+6*D)........................

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