Around this time of year, banks and credit unions will sometimes offer borrowers the option to skip a payment or two in return for a fee. This offering is a spreadsheet that calculates the APR on a loan after the borrower accepts the offer to skip one or more payments. There are two amortization schedules […]

## Simple Formula for Converting Compound Interest Rates

This workbook has a simple formula to convert compound interest rates. =IF(t>500,f*LN(1+g/f),IF(f>=500,t*(EXP(g/t)-1),(t*((1+g/f)^(f/t))-t))) Where: g = Current interest rate f = Number of times the current rate compounds per year t = Number of times the converted new rate compounds per year This lookup table grabs two of the numbers for the formula Continuous compounding in Excel […]

## Standard Default Assumption (SDA)

My last post and spreadsheet concerned the Constant Default Rate (CDR) on a pool of loans. As the name implies, the CDR uses the same default rate for the complete term of the loan. It does not allow for the probability of default, depending upon the age of the loan. The SDA curve was developed […]

## Constant Default Rate (CDR)

Also see this post: Comparing CDR Default Formulas to Industry Standard Default Formulas Constant Default Rate (CDR) is an annualized rate of default on a pool of loans. The default rate on loans depends on a number of conditions, such as the age of the loans, seasonality, burnout levels, FICO, LTV, income, etc. Since […]

## Convert CPR, SMM & ABS (APS)

We have already discussed Constant Prepayment Rate (CPR) and Single Monthly Mortality Rate (SMM). Another prepayment rate is the Absolute Prepayment Speed (APS), used mostly for securities backed by auto, truck, and RV loans. The acronym for Absolute Prepayment Speed (APS) is also referred to as ABS, which is confusing because ABS is also the acronym for Asset-Backed […]

## Solve for Last Payment Due

In my first blog post back in August, I had a formula that would solve for future value given dates and amounts. In this post we will use the same formula to solve for the last payment due. There are a number of scenarios where the last payment might be needed. Assume for a moment that you won a court judgment […]

## Reverse Engineering Constant Prepayment Rate (CPR)

This post has been updated in a new post called Calculating Historic CPR. The spreadsheets has also been updated “CalCPR.xlsm” After you review this post, please see the updated post. Unless you work for a firm that packages pools of mortgages, you will probably never need to calculate the historic CPR on an existing pool. Even so, […]

## Mortgage Pool Price and Average Life One Cell Formulas

See updated formula at: MBS Math Formula. Servicing, CPR, Payment Delay, Default Rate & Loss Severity http://pistulka.com/Other/?p=2384 A few posts back I showed the “megaformula” I used back in the day for calculating the price of a mortgage pool with prepayments (CPR). Rather than treating the one cell formula as just an interesting antique, I […]

## Currency Risk

After the bubble burst in home prices (along with the rest of the U.S. economy), I was wondering what happened to the European investors that were buying up million dollar condos in Florida at the highs. They had two major risks if they were not hedged: housing prices and currency fluctuations. I used the same […]

## Amortization Schedule With Variable Rates

Note: I have updated this post with more options. See Variable Rate Amortization – Day/Year Count & Last Payment Options. Have you ever wanted an amortization schedule where you can set the rate for one term and then change the rate for another term, and change the rate and term a total of six times? […]

## Tax Calculators

First, I want to point out the prominent disclaimer on the first sheet of the “Tax” workbook. I am not a CPA or a tax attorney. I was a CFO of a Credit Union that was a “not for profit” and therefore exempt from federal income tax. One of the reasons I have collected the tax calculators in […]

## Mortgage Backed Securities (MBS) “MegaFormula”

See updated formula at: MBS Math Formula. Servicing, CPR, Payment Delay, Default Rate & Loss Severity http://pistulka.com/Other/?p=2384 This post is just to show you 20-somethings what we had to go through to calculate the price of a mortgage backed security back in the day. I had the first desktop computer (before Apple and Radio Shack were […]

## PSA vs. CPR

In past posts I showed you how to calculate a Constant Prepayment Rate (CPR) with an amortization schedule. This post will allow you to compare a CPR rate to a model provided by the Public Securities Association (PSA). PSA is based upon the CPR calculation. Both use a Single Monthly Mortality (SMM) calculation. The difference is […]

## Bonus Checking

To understand this next spreadsheet, you have to take your accounting hat off and put your financing hat on. Consider all your sources of funding; savings accounts, money market accounts, CDs, borrowing, and checking accounts. There may be more, but considering the above, checking accounts will always be the cheapest source of funds. The reason […]

## Macaulay Duration Plus Balloon Payment

I was asked by a reader to add an option to the workbook “MacaulayDuration”. The option is to include a balloon payment. I added the option in a separate workbook called “MacaulayDuration_with_Balloon”. Read my post on “Macaulay Duration of an Amortizing Loan” for further information. Download “MacaulyDuration_with_Balloon” from: http://www.pistulka.com/Excel_Shared/ Downloads Written in Excel 2013