For years there has been confusion about both compounding
                and discounting. It was actually simpler
                before calculators came along. Formulas are built
                into the calculators and choices had to be made.
                I've always wanted to talk to one of the people
                that developed the formulas. He's a friend, but a
                little too thrilled with his own accomplishments
                to be questioned in this area. As the old saying
                goes, "he has a mind like a
                steel trap - rusted shut". I
                did really get a kick out of it one day when he
                was disagreeing about the value of some notes. I
                enjoyed showing him the correct numbers on the
                calculator and then saying something like, "I
                guess it's right, you did program the formulas
                didn't you?" 
                The confusion comes in the compounding/discounting
                period or periodic rate. If you want to calculate
                an annual yield , discount or compound a note
                that is a lump sum payment, you have to jump
                through some extra hoops to get a correct answer.
                
                Technically, the calculator is wrong. You tell
                it you want to discount to an 18% yield on a lump
                sum payment and it turns around and discounts at
                a periodic rate of 1.5% per month. On the
                surface, it sounds the same, but it isn't. 15
                years at 18% and 180 months at 1.5% are not the
                same. 
                Your answer would be more correct when you are
                using the 15 years and one payment a year. I've
                always done it that way. I like to be precise. If
                it's 18% annual yield on a
                balloon, then that is what I want to see. A
                1.5% periodic rate is different. First
                let s look at compounding. You may run into this
                any time you pay off a loan. It can make a
                substantial difference financially. 
                For example: 
                If I take a $10,000 note with
                no payments and a balloon in 5 years
                at 10% interest, it would be 15,000
                total if it were simple interest. I like to write
                notes I pay that way. The rate of 10% on a
                balance of $10,000 is $1,000
                times 5 years. Few notes are
                written that way. The wording would be "bearing
                interest at 10% simple interest" 
                A normal note is compounded
                annually if it does not say otherwise.
                Annual compounding achieves $16,105.10,
                because each year there is interest on the
                previously accrued interest. Interest is
                compounded annually unless it states otherwise. 
                Title companies, mortgage companies, real
                estate agents and others will constantly try to
                charge you more because they do not understand
                the principle. In one of my seminars I was asked
                the question "John, why don't bankers invest
                in notes?" A banker going through my seminar
                volunteered the answer. "John, if a
                banker has a financial calculator on his desk -
                it s a paper weight." I have to
                straighten out their ignorance quite often.
                Sometimes it makes thousands of dollars of
                difference in the payoff of a loan. 
                So, if you re paying on this $10,000 note
                and are ready to pay it off in 5 years, you owe $16,105.10.
                Someone may try to charge you $16,453.09
                by compounding the amount monthly. That s a 10.47%
                interest rate - not 10%. Here s
                the numbers. 
                
                    
                        N 
                         | 
                        I 
                         | 
                        PV 
                         | 
                        PMT 
                         | 
                        FV 
                         | 
                    
                    
                        5
                         
                         | 
                        10
                         
                         | 
                        -10,000
                         
                         | 
                        0
                         
                         | 
                        16,105.10 
                         | 
                    
                    
                        60
                         
                         | 
                        1.5
                         
                         | 
                        -10,000
                         
                         | 
                        0
                         
                         | 
                        16,453.09 
                         | 
                    
                
                The same person is likely to discount in the
                same manner. Let s take the true balloon amount
                of $16,105.10 as an example. If
                I want an 18% yield, I would pay
                $7,039.69. Most people will
                calculate a value of $6,591.75,
                because they will use a periodic rate of 1.5%
                and 60 months instead of an
                annual rate of 18% and 5
                years. 
                
                    
                        N 
                         | 
                        I 
                         | 
                        PV 
                         | 
                        PMT 
                         | 
                        FV 
                         | 
                    
                    
                        5 
                         | 
                        18 
                         | 
                        -7,039.69 
                         | 
                        0 
                         | 
                        16,105.10 
                         | 
                    
                    
                        60 
                         | 
                        1.5 
                         | 
                        -6,591.75 
                         | 
                        0 
                         | 
                        16,105.10 
                         | 
                    
                
                The true yield on the note would be 19.56%
                if you paid $6,591.75. 
                That may seem all right if someone intends to
                just be a bird dog and point to notes for
                commissions (a milk bone?) for the rest of their
                existence. Actually, the calculator and the time
                value of money have always been an entrance
                barrier that keeps people away from funding or
                investing in notes. 
                Over the last 20 years, the
                sophistication and expertise of this industry has
                steadily declined. Fewer and fewer
                people have a working knowledge of the calculator.
                Probably 100 times as many people are in
                the industry with one tenth the experience. 
                Years ago I used to work hard to teach people
                this. In fact, the examples in "The
                Paper Game" and earlier
                books show the more precise methods. My more
                recent writings show the more common (but flawed)
                methods, because I get tired of trying to swim up
                stream - even if it is the right direction. 
                The greatest profits available in almost any
                form of investment are available by OWNING notes
                - not just being a broker. Brokering
                notes is a job. Buying notes is an
                investment that I know nothing that even compares
                to it in both safety and profitability. What it
                takes is creativity, the ability to fund notes
                and a solid knowledge of the basics. None of
                which can happen within the time period of a few
                days. 
                The nice thing about note investment is that it
                can be a great job as you learn to invest. Even
                better is the fact that you can be paid as
                handsomely to invest in notes as you are paid to
                broker them. I always profit when I buy the note
                as much or more than someone who brokers it. Best
                of luck!
                 
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