Interest Rate Calculation With Payment Increases

Mar 4, 2014

I have a capital lease amortization schedule with annual increases to monthly rent that I am trying to solve for an interest rate such that the balance nets to zero at the end of the term. I am calculating on a monthly basis; in other words, principal minus monthly payment plus monthly interest expense equals ending monthly balance is calculated in each row each month. The present value is known, payment term is known, future value is zero, and the payment amounts increase annually. These assumptions may change for new leases so ideally the solution would be dynamic, adjusting for shorter/longer terms, etc. Here is an example of my assumptions:

Payment start date: 8/1/13
Term end date: 10/31/2025
Rent length in months: 144
1st months rent: $500,000 - payments are due at the beginning of the month and are paid monthly
Annual rent escalation: 3% - i.e. 1st 12 months is $500k/month, 2nd 12 months at $515K, etc.
Beginning NPV: $75M
Ending value: $0
Imputed annual interest rate: UNKNOWN

I'm not sure if this is relevant, but the monthly payment is allocated between principal and interest. Monthly interest expense is calculated as the current balance * (imputed interest rate / 12).

Currently, I've plugged the interest rate such that my ending balance is 0, however I was hoping to calculate it on the fly as opposed to manually plugging it.

how to calculate annual interest rate with these inputs? Is there a way to make the rate function work with payment increases?

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Effective Rate Calculation, Interest Only Loan

Aug 27, 2008

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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A B C
1Loan Amount$10,500,000 0.0730041581143804
2Term 10 years
3Rate
4Amortization30 years
5Constant (K) =PMT(B3/12,(B4*12),-1000)*0.012
6Annual Payment$766,544
7Monthly Payment$63,879

Example is attached.

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r = n * nt root (A/P-1)

where;
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n = the number of times interest is added per year
t = the total number of years
A = the current value
P = the original value

The 2 problems I face are;
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I have attached a workbook with details. I use a loan amortization schedule to calculate the interest from parameters set on sheet 1

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Dim LastRow As Long
Dim NextMonth As String
Dim R As Long
Dim Rng As Range
Dim SubAmount As Currency
Dim ThisMonth As String
Dim TotalAmount As Currency
Dim Wks As Worksheet

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INTEREST CAL.xlsx

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[url]

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