# Patent

## Title
Investment management

## Abstract

Data processing for novel form of relationship management links, supervises, and balances depositors, marketing agents, financial intermediaries, mortgage brokers, and borrowers in an inflation-adjusted financing program. Funds are deposited in participating financial institutions in return for certificates of deposit yielding a fixed rate of interest, plus principal growth at a yearly rate equal to that year's rate of growth in the Consumer Price Index-All Urban Consumers, All Items. Funds on deposit are loaned to borrower, either directly or through brokers, at a rate calculated by adding three components: a fixed debt service rate, a fixed constant interest rate, and an inflation factor interest rate which reflects the effects of inflation on the outstanding loan balance. Organizing company sychronizes entire program by contacting depositors through marketing agent, designating institutions to receive depositors' funds, contacting borrowers directly or through brokers, and by supplying data processing capabilitites to financial intermediaries for purposes of impletation of the program and for analysis of the effects of the program on the intermediaries' capital structures.

## Background
This application is a continuation of application Ser. No. 09/184,752 filed Nov. 2, 1998 now U.S. Pat. No. 6,052,673 entitled “System and Method of Investment Management Including Means to Adjust Deposit and Loan Documents for Inflation,” which is a continuation of U.S. application Ser. No. 07/780,834 now U.S. Pat. No. 5,832,461, filed Oct. 23, 1991, which is a continuation of Ser. No. 07/187,054, filed Apr. 27, 1988, now abandoned, which is a continuation of U.S. application Ser. No. 06/770,493 now U.S. Pat. No. 4,742,457, filed Aug. 27, 1985.


BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to financial management systems and, more specifically, to data processing methodology for effecting an improved capital structure in financial institutions.
2. Description of the Prior Art
A number of financial management systems have been proposed in the past. Exemplary systems include U.S. Pat. Nos. 4,194,242; 4,232,367; 4,321,672; 4,346,442 and 4,376,978. However, such prior systems address substantially different problems and accordingly, are substantially different from the inflation-adjusting program of the present invention.
During times of inflation, lenders and borrowers, whether they be institutions or individuals, must anticipate what the effects of inflation will be on the cash flow characteristics of a loan. Investors face a similar uncertainty. Traditionally, lenders compensate for this uncertainty by including a premium in the interest rate charged on the loan. This premium represents what the lender feels will be the level of inflation during the term of the loan.
Loans which include a fixed inflation compensation factor are not immune to the effects of inflation. For example, when a lender anticipates a 6% annual inflation over the life of a loan and the actual average inflation turns out to be 10%, the lender has realized a 4% annual loss in terms of real dollars. In addition, standard-fixed-payments loans (“SFPM's”) exhibit a progressive decline with time in terms of the flow of real dollars leading to a real-payment forward “tilt” characterized by a much greater equity accumulation during the early years of an extended loan. Conventional SFPM's are particularly burdensome in an inflationary environment in that they fail to account for appreciation of the mortgaged property.
In an attempt to compensate for such an eventuality, some lenders have offered loans or mortgages which include a floating interest factor that is periodically varied in some manner to compensate for the effects of inflation. One such alternative mortgage instrument is the adjustable rate mortgage, or “ARM”, which allows for periodic adjustment of payments to compensate for what the lender feels will be the inflationary effect on the loan during the upcoming period. For example, a typical ARM is indexed to a standard interest rate such as a particular bank's prime rate or six-month Treasury bill average. However, due to the fact that ARM's still reflect the market's “expectation” of the inflation rate, their inflation premiums may still not reflect the actual rate of inflation.
Two mortgage loan instruments which are directly indexed to inflation have been offered on a limited basis. One such instrument is the price-level adjusted mortgage, or “PLAM,” whose mortgage balance is periodically adjusted to account for the effects of inflation during the interval since the previous adjustment. PLAM's have generally been indexed to one of the various consumer price indexes. Such indexing of the PLAN loan balance results in the deferral and capitalization of additional interest. The resulting PLAM loan serves to even out equity accumulation during the life of the mortgage in contrast to SFPM's.
Another indexed mortgage instrument is the “modified” PLAM which combines some aspects of the traditional fixed rate mortgage with those of the PLAM. In particular, the modified PLAM has a fixed interest rate which includes a specified inflation factor and, in addition, has a variable interest rate which will compensate the lender for inflation over and above the specified inflation factor.
Inflation-indexed loan instruments have advantages in that inflation risk to the lender is minimized. For example, with SFPM's during periods of inflation, the borrower realizes a windfall in terms of actual dollars where the loan rate is based on a low level of anticipated inflation. Conversely, the lender has suffered a loss in terms of real dollars. Inflation indexed loans serve to solve this problem. However, the borrower under such instruments still faces much uncertainty: when inflation spirals, so do the loan payments. If inflation operates similarly on the mortgaged or secured property, there is no loss in terms of real dollars. However, if the value of the property securing the loan does not inflate at the same rate as the loan balance, there is potentially an inflation loss.
Such problems have in the past prevented large-volume or commercial borrowers from taking advantage of inflation-indexed loans. That is, the uncertainty over whether the return on inflation-indexed borrowed funds which have been reinvested, will compensate for the “cost” of those funds. This problem of unbalanced investments and loans is seen most acutely where one wishes to invest in a manner that will assure an inflation-adjusted return on the investment. One answer would be for institutions to accept investment capital into deposit accounts which insure an inflation-adjusted return on the deposited funds. However, the risk to the lending institution is clear: such inflation-adjusted deposit accounts must in some manner be backed by inflation-adjusted dollars. Equally important, institutions engaged in lending and borrowing funds require the ability to match funds which have been obtained on an inflation-indexed basis with some similarly indexed funds which are lent out. Moreover, such institutions require the ability to assess the impact of inflation-adjusted deposit and loan accounts on their capital structure.
Accordingly, the present invention addresses these problems by providing a system for implementing inflation indexed deposit accounts, for matching such accounts with similarly indexed loan accounts and for anticipating the effects of these accounts on the existing capital structures of the institution or investor.
SUMMARY OF THE INVENTION
The foregoing and other problems of the prior art are solved by the system of the present invention which institutes inflation-adjusted deposit and loan accounts and matches such accounts to provide an improved capital structure for a financial institution. The system projects the impact of inflation-indexed deposit and loan accounts on the institution's capital structure for preselected or anticipated inflationary environments. Based on such projections and other general considerations, one of several forms of deposit accounts is selected according to the requisites of the depositor or borrower and those of the institution.
As contemplated under the present invention, the accounts are characterized by a principal component and an accrual component. Principal component is that proportion of the overall account balance attributable to the initial cash investment. The accrual component indicates that proportion of the overall account balance attributable to inflation and fixed interest. The account components are periodically enhanced or reduced in a manner specified by the characteristics of the particular account selected.
The accrual component will generally include both a fixed interest component and a variable interest component with the variable interest component being responsive to the rate of inflation. Responsive to the rate of inflation, as used herein, means directly responsive to a market indicator of prior actual inflation as it is not meant to include the market's expectation of future inflation. Under one alternative, the principal component is enhanced by the variable interest component and the account retired by retiring the fixed interest component by one schedule and retiring the principal component by a second schedule. However, the account may be retired by retiring both components over a similar schedule or by amortization. By varying the manner in which each respective component is accrued or retired, the cash flow characteristics of the account can be significantly altered to fit the requisites of the individual or institution. Cash flow is defined as the overall flow of cash units from the account, or a selected account component, to the account holder who will either be the lender or depositor, at a specified time.
Since the accrual component of either loan or deposit accounts may be adjusted in response to inflation, they can potentially exhibit unfavorable cash flows. Therefore, it is generally desirable to match loan accounts with deposit accounts, and further generally desirable to match accounts with similar intrinsic cash flow characteristics as specified by their accrual and retirement features. In this manner, cash flow patterns of the loan account would mirror those of the matched deposit account. Thus, during times of inflation, for example, negative cash flows attributable to outgoing retirement payments on deposit accounts will be compensated for by incoming payments on loan accounts.
Once the appropriate form of deposit and loan accounts are selected, matched and placed with the institution, data processing is utilized to service them during their respective terms. As referred to herein, the account term is the time period over which the account is retired or “paid out” to the account holder. The account term is generally divided into a plurality of adjustment or iteration periods, however, terms may be scheduled to include only a single iteration. Servicing includes the determination of inflation adjustments to the account balance or, alternatively, the inflation premium due the account holder. Servicing also includes features which protect the principal or balance of the accounts from the effects of deflation and reports all bookable income to holder.
Servicing further includes data processing for retiring and enhancing the accounts according to their respective terms and schedules. Retirement is meant to include a reduction in the particular account component and enhancement is meant to include an increase or accrual of the particular account component. For example, accrual components may be retired separately from the principal component by selecting separate schedules for each. Thus, for example, the principal may be retired semi-annually and the accrual retired annually. Schedules may be selected which adjust particular components by a predetermined amount. Alternatively, account components may be retired by amortization.



BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is an overall schematic view of the inflation-adjusting account management system of the present invention;
FIG. 2 is a flow diagram of the steps for servicing Group I deposit or loan accounts;
FIG. 3 is a flow diagram of the steps for servicing Group II deposit or loan accounts;
FIG. 4 is a flow diagram of the steps for servicing Group IV deposit or loan accounts;
FIG. 5 is a schematic, view of the deposit/loan matching process;
FIG. 6 is a graphic display of year-end balances and adjustment amortization of a typical Group IV Deposit Account;
FIG. 7 depicts the total principal and interest payments on the hypothetical Group IV deposit account of FIG. 6;
FIG. 8 is a graphic display of the bookable income components of the hypothetical Group IV deposit account of FIG. 6;
FIG. 9 graphically compares the cash flows generated by a Group IV deposit account assuming a steady 8% inflation rate with the same account assuming a steady 6% inflation rate; and
FIG. 10 is a graphic display of the buildup of positive cash flow from an original $100 Group IV deposit account as a standard-fixed-payment loan.



DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
The System
Referring now to FIG. 1, there is shown in overall scope an operational flow chart for implementing the deposit/loan inflation-adjusting system of the present invention. As therein depicted, the broad aspects of the system include an inflation-adjusted deposit account 2, an inflation-adjusted loan account 4, an intermediary institution 6 and an account management dataprocessor 8.
In the most basic embodiment of the present invention, the intermediary institution 6 receives deposited funds in deposit accounts 2 and lends funds through loan accounts 4. Retirement of these inflation-adjusted accounts are implemented by account management dataprocessor 8. Such data processing services the inflation-adjusting accounts in a number of ways, including the determination of their cash flow characteristics in changing inflationary environments and determining the anticipated effects of inflation on the account balance. Characteristics of the individual accounts are tailored to meet the needs of the particular depositor.
However, as illustrated in FIG. 1, the system of the present invention need not be limited to the three above mentioned fundamental aspects. In a preferred embodiment, an organizing company 10 acts as a synchronizer by contacting depositors 12 through intermediary 6 or through a marketing agent 14, for example, a pension fund manager. Depositor characteristics are listed on a Deposit Funds Available Data File 16 (“DFADF”), wherein characteristics listed include a depositor identifier, the amount of funds available, the term of the account, the duration of the account, the type of account and the account retirement schedule. The amount of funds available is the total amount of funds sought to be deposited by the depositor. The term of the account is the length of time from the initial deposit until maturity (i.e., when the account has been entirely retired). The duration of the account, explained more fully below, is a mathematical expression of when the average time-weighted dollar is paid out of the account. The type of account, also explained in greater detail below, represents the particular accrual and retirement features of the deposit account. The retirement schedule refers to the timing of the iteration or payback periods and may include a predetermined retirement amount where appropriate.
Characteristics of borrowers 18 are similarly listed in a Loan Funds Desired Data File 20 (“LFDDF”), which includes the amount of funds sought to be borrowed, the term of years for which the funds are desired, the duration of the loan account, the type of loan account and the loan account retirement schedule. Additional parameters such as credit rating of the borrower or capacity of the lenders are generally included in the LFDDF or DFADF. Capacity represents the total funds the lending institution may wish to devote to particular categories of loan transactions, for example, commercial development loans.
Data processing capabilities are supplied for displaying and choosing the particular inflation-indexed account characteristics and for servicing the accounts once installed. Organizing company 10 may also act as a matching agent to receive deposit commitments from depositors 12 or marketing agent 14 and place such commitments with intermediary 6 that may require inflation-indexed deposit funds to back similarly indexed mortgage loans. Again, intermediary 6 acts as the actual conduit for the passage of funds but may rely on organizer 10 to match indexed deposit contributors with borrowers and/or to service accounts 2,4 once they are installed.
Servicing the Accounts
In general, four basic types of accounts, represented by the designations Group I, II, III or IV, are contemplated under the present invention. These accounts vary in terms of their cash flow, principal repayment and interest accrual characteristics. They can be characterized as having a principal component, which initially a represents the sum deposited or loaned, and an accrual component, which represents that portion of the balance that is attributable to the effects of interest, servicing fees and inflation on the principal. However, the accounts of the present invention may vary in terms of how and to what extent interest accrues, whether the interest is “payed out” or reinvested into the overall account balance, and how the account is retired over a selected term.
In their most basic embodiment, Group I accounts include those accounts wherein the fixed-interest and inflation-adjusted interest components are retired as they accrue. In Group II accounts, both the fixed and adjustable components are retained as principal and thus add to the overall account balance. In Group III and IV accounts, the fixed interest component is payed out as it accrues and the adjustable component is added to account balance. Group III and IV accounts differ in that Group IV accounts are retired by amortizing the account balance at each iteration period whereas Group III accounts are retired by a predetermined portion at each iteration period with the remaining balance being retired at the final iteration.
Referring to FIG. 2, is shown a flow chart, adaptable to data processing, for servicing what are referred to herein as Group I deposit or loan accounts. Group I accounts are characterized by a non-adjusted principal which is retired over a series of predetermined intervals or iterations. Alternatively, the principal may be retired in one lump sum payment at maturity. Because Group I accounts do not have adjusted principals, their accrual components are also retired at predetermined intervals over the life or term of the accounts. As with the principal retirement, the accrual component may be retired in one lump sum payment at the end of the term. Alternatively, the accrual retirement may be scheduled in a separate fashion from the principal retirement.
Generally, the Group I principal retirement schedule will consist of the retirement of the entire principal at the end of the term of the instrument. The accrual component, on the other hand, is retired as it accrues at each iteration period, and does not accumulate or enhance the principal. This results in an instrument having cash flows closely resembling those of a “conventional” certificate of deposit or bond (“conventional” referring to payment of a fixed rate of interest) with the difference that accrual payments will vary with the rate of inflation. Therefore, the cash flow characteristics of Group I accounts can be characterized generally as low during the term of the instrument, with a large payment at the end. However, other principal retirement schedules are possible within the Group I framework, and cash flows could be accelerated through earlier payments of a portion of the principal.
As displayed in the flow diagram of FIG. 2, Group I accounts are serviced by first ascertaining, for example from DFADF or LFDDF, the initial balance, the fixed interest rate to be paid, the inflation index at the time of the deposit or loan, the total number of iterations or adjustment periods, and the schedules by which the principal and accrual components are to be retired. Proceeding through the flow diagram, the first operator, Ir=Ir−1, serves as a counter to determine the number of iterations remaining in the scheduled account term. The amount of the principal to be retired by cash disbursement to the account holder is determined by reference to the schedule. Once the current inflation index (CPIc) is determined, the level of inflation since the last reporting period is estimated by consideration of a preselected inflation index which reflects prior actual inflation. A preferred embodiment of the present invention utilizes the consumer price index CPI-U, for all items. However, any number of indexes may be successfully utilized including, but not limited to CPI-W, Producer Price Index, the Implicit Price Deflator for the Gross National Product, or any component of these price level measures so long as the index reflects some measure of past inflation. The level inflation which has occurred since the previous iteration period can be determined by the formula:




  
    CPIc
    -
    CPIo
  
  CPIo




Where CPIo id the inflation index at the time of the last iteration, or the initial index if the present iteration is the first.

The account servicing scheme makes the determination as to whether deflation has in fact taken place since the previous reporting period or iteration period. This test serves to protect against a possible negative cash flow which could result during deflationary periods. If deflation has taken place, no adjustment is made to the balance in response to the deflation, rather, deflation credits are stored and subsequently retired when inflation returns. Deflation credit is accumulated with deflation credit from prior iteration periods, if any, in the form of cumulative deflation credit (“CDC”).
If, alternatively, inflation has occurred during the prior iteration period, the cash outflow or disbursement attributable to the effects of inflation on the account balance is determined by applying the inflation rate to the deposit balance. If the cumulative deflation credit is greater than the inflation disbursement, the CDC is reduced by that amount and the accrual disbursement to depositors is determined by applying the fixed interest rate to the principal.
If the CDC value is less than or equal to the calculated inflation disbursement factor, the disbursement factor is reduced in proportion to the CDC, if any, and the CDC set to zero. Accrual repayment is determined by applying the fixed interest rate to the balance and adding the product to the inflation disbursement factor. The account balance is adjusted to reflect both the principal and accrual retirement. Following a test to determine whether any iteration periods remain, the initial CPI (CPIo) is reset to equal the current CPI (CPIc), to allow for inflation rate determination at the next cycle.
Group II deposit accounts are characterized by a principal component that is enhanced by the accrual component. Thus, principal growth is observed on the one hand and the account is retired by retiring only the principal. Since all inflation and interest adjustments on the account serve to enhance the principal, only one schedule of retirement is required. Group II accounts will generally demonstrate cash flows which do not react as quickly to rising inflation as those of Group I accounts. This is due to the fact that the accrual component of Group II accounts are not necessarily paid out in their entirety at each iteration period as in Group I accounts. Rather, the accrual is retained as principal and retired by a preselected schedule, for example, by retiring a predetermined portion at each iteration period. This results in a straight-line reduction of the account balance during the account term followed by a lump sum payment of the remaining balance at maturity. Alternatively, a schedule may be selected where the entire account is retired by one lump sum payment at maturity with no intervening retirements.
Referring now to FIG. 3, is shown a flow chart for servicing Group II accounts. As with Group I accounts, the parameters of initial account balance, fixed interest rate to be charged, the initial inflation index (CPIo), number of iteration periods, and account retirement schedules are supplied. The amount of principal to be retired is then determined by reference to the schedule. This amount is disbursed to the account holder.
The inflation rate is estimated and tested for deflation. If deflation has taken place, deflation credit is calculated and accumulated. If, alternatively, inflation has occurred, the amount of principal adjustment is determined by determining the product of the inflation rate and the account balance prior to the present retirement. Fixed adjustment is represented by the product of the fixed interest rate and the balance. When the cumulative deflation credit (CDC) is greater than the inflation adjustment for any given iteration period, the CDC is reduced in proportion to the inflation adjustment and the account balance adjusted to reflect the principal retirement and enhanced to reflect the fixed adjustment.
Alternatively, when the inflation adjustment is higher than the CDC, the inflation adjustment is reduced in proportion to the CDC and the CDC reset to zero. Balance adjustment is accomplished by reducing the balance in proportion to the principal repayment and enhanced in proportion to fixed and inflation adjustment. Although under Group II accounts, actual cash flow consists of the principal retirement, “bookable” cash flow is represented by both principal retirement and inflation and fixed adjustments to the principal. Thus, this “bookable” inflation adjustment factor is reported to the account holder or borrower for, for example, income tax purposes.
Group III and IV accounts are characterized by an accrual component that is divided into a fixed interest component and a variable interest component with the variable component being responsive to inflation. For both Group III and IV accounts, the fixed interest component may be viewed as a part of the depositor's interest on the balance, and retired by a preselected schedule over the term of the deposit or by amortization. However, the variable interest component serves to enhance the principal and therefore represents a deferral and capitalization of interest into the principal. Therefore, principal growth is observed.
Group III and IV accounts differ in terms of how their respective adjusted principals are retired. In Group III deposits, the principal is retired by a preselected schedule over the term. Alternatively Group IV accounts have principals which are retired by amortization. FIG. 4 is illustrative of the mechanics of Group IV accounts. As depicted therein, Group IV accounts are serviced by first determining the preliminary series of variables: the amount of the initial deposit, the fixed interest rate to be paid, the inflation index at the time of the deposit (CPIo), the total number of iterations or adjustment periods (Ir) and the retirement schedule.
Proceeding through the flow chart of FIG. 4, as with the previous accounts the first operator counts the number of iterations remaining in the scheduled account term. The account balance amortization is calculated to determine that portion of the principal to be retired at that iteration period. In particular, amortization of the balance is achieved using the formula:




  R
  =
  
    A
    PVIF
  




where:

    
    
        R is the payment due the account holder;
        A is the amount of the balance to be amortized; and
        PVIF is defined as
    
    






  
    ∑
    
      I
      =
      1
    
    N
  
  ⁢
  
    
  
  ⁢
  
    (
    
      1
      
        
          (
          
            1
            +
            i
          
          )
        
        ⁢
        I
      
    
    )
  




    
    
        
        
            where N is the number of iteration periods remaining +1, and i is the fixed interest rate
        
        
    
    


The fixed interest component is calculated by applying the fixed interest rate to the account balance. Once determined, fixed interest component is generally retired during the present iteration by disbursement to the account holder. Alternatively, the fixed component may be withheld for later retirement, depending upon the requirements of the particular schedule.
The inflation rate is estimated and tested for deflation. With Group IV accounts, during times of deflation, one would expect a diminishment of the balance in proportion to the resultant increase in “real” dollars on deposit. However, the present system avoids this diminishment by storing deflationary units in the form of deflation credit. As with the foregoing account groups, deflation credit is cumulated, reserved and not applied against the account balance until inflation resumes to a sufficient level to counter it.
Thus, when the inflation adjustment is greater than the CDC, the account balance is reduced in proportion to the principal retired and enhanced in proportion to the level of inflation. If deflation credit has accumulated to a greater extent than the inflation adjustment during the prior iteration period, the balance is reduced only in proportion to the principal retirement. Once a new balance is established, the iteration cycle is completed by testing whether the present cycle represents the final iteration period and, if not, by setting the index level of the present cycle equal to the initial index for use in the next cycle.
The flow chart of FIG. 4 may be modified to service Group III accounts by retiring a set proportion or amount of the balance instead of amortizing the balance. Since such a retirement is of a “preselected amount,” the final iteration may include a lump sum payment of the balance which remains. That is, the principal retirement of Group III accounts, being a preselected amount, would not necessarily track the inflation adjustments, thus potentially leaving an unretired portion due the account holder at maturity.
Matching Deposit Accounts with Loan Accounts
During times of high inflation, an inflation-indexed deposit account, standing alone, would present a substantial risk to the capital structure of the institution that receives and services them. This is the result of the fact that more inflated dollars must necessarily be deposited into the account by the institution at each iteration period to maintain a constant account balance in terms of real dollars. To remove this risk, the present invention provides a system for matching the foregoing inflation-adjusted deposit accounts with loan accounts.
Referring to FIG. 5, is shown in representative fashion, a flow diagram of the matching process. Investors or Depositors 12 direct Deposit Account Manager 14, for example, a pension fund manager, to file Notice of Availability 24 (“NA”) of funds for inflation-adjusted deposit accounts 2 with organizing company 10. Alternatively, those investors 26 not represented by account manager 14 file NA 24 directly with organizing company 10. Similarly, borrowers 18 or loan account managers 22, for example, mortgage brokers, file Notice of Demand 28 (“ND”) for inflation-adjusted loan funds. Both ND 28 and NA 24 include such parameters as amount of funds available or demanded term of account, duration of account, and type of account including its proposed schedule. Independent variables such as credit rating of borrower 18, characteristics of project for which funds are sought and underwriting constraints if any, may be included in the ND 28. Organizing company 10, or alternatively intermediary 6 lists the characteristics on parallel databases, DFADF 16 and LFADF 20, representing supply funds and demand funds, respectively.
Accounts are matched by matching parameters stored in DFADF 16 or LFDDF 20 to create a Hierarchical Matching File 30 (“HML”). Parameters of the demand and supply files 16,20 are thus matched according to hierarchal considerations generally including account amount, term and duration as primary considerations. A plurality of loans may be matched with a single deposit, or a plurality of deposits with a single loan, in order to match the overall amounts. In situations where a plurality of loans are matched with a plurality of deposits, the various amounts are totaled to achieve a total balance match.
Duration is a mathematical expression of when the average time-weighted dollar is either received or paid out of a particular account. It provides information concerning the size and timing of the payment stream or cash flow of the account. Moreover, duration embodies an expression of the relation of payment or disbursement size to yield-to-maturity of the account. The mathematical expression of the formula is:




  D
  =
  
    
      
        ∑
        
          t
          =
          1
        
        m
      
      ⁢
      
        
      
      ⁢
      
        
          txCF
          +
        
        
          
            (
            
              1
              +
              r
            
            )
          
          t
        
      
    
    
      
        ∑
        
          t
          =
          1
        
        m
      
      ⁢
      
        
      
      ⁢
      
        
          CF
          +
        
        
          
            (
            
              1
              +
              r
            
            )
          
          t
        
      
    
  




Where D=duration, r=yield-to maturity, t=time of cash flow, m=term and CF+=cash flow at time, t.

When this formula is applied for example, to a $1,000 standard-fixed-payment deposit account with a five-year term and 12% total annual interest, the calculated duration is 4.04 years. That is, the average time-weighted dollar is paid out at 4.04 years. In general, group I accounts will show greater cash flows early in their terms relative to group II accounts, therefore group I accounts will often have lower durations than scheduled group II accounts. The duration of Group III and IV accounts will generally fall between that of Group I and II accounts. Therefore, duration is an expression of the average cash flow of the account. In matching the duration of a loan account with that of a deposit account, or in matching the average duration of a plurality of accounts, the cash flows of deposit and loan accounts so matched will compensate for one another, thereby protecting the capital structure of the intermediary.
After matching is achieved by the HMF 20, borrowers 18 and depositors 12, or their respective account managers 22,14, are notified of the match and deposit and loan accounts 2,4 are formalized 32 followed by the transfer of funds 34 to intermediary 6. Accounts will then be serviced by the account management dataprocessor 8.
Example I
Servicing of Inflation—Adjusted Deposit Accounts
Data processing and post-data processing activities are utilized to service the Group IV deposit accounts of the present invention by periodically adjusting the outstanding balance of the account to reflect the effects of inflation on it.
a. Mechanics of a Typical Group Iv Deposit Account
Referring to FIG. 6 is shown a representative example of a hypothetical Group IV deposit account in terms of its year-end balance and adjustment amortization. The deposit account therein depicted assumes an initial balance of $100, a fixed annual interest rate of 4%, a steady inflation rate 8% (e.g., an 8% steady annual increase in the CPI), a 30-year term with 30 annual iteration periods, and a schedule which retires the fixed interest component as it accrues (i.e., annually).
As will be appreciated by those skilled in the art, the deposit account of the present example is somewhat similar to a 30-year annuity which is supplemented annually with additional annuities to reflect the higher price level in the economy. Thus, the fixed amortization rate becomes a real interest rate because the depositor also receives additional interest equal to the inflation rate multiplied by the account balance. Each iteration period, if there is a positive increase in the CPI, additional inflation interest accrues but it is payable over the remaining term as an additional stream of annuity payments. The deposit account can be viewed as 30 separate annuities with an original annuity and potentially 29 annual inflation additions.
The depositor's total receipts (including principal and interest) on the deposit account increase in lock-step with the CPI so that the payment the depositor receives is constant in real purchasing power. In this graphical presentation the inflation rate is a steady 8% for the entire 30-year term of the account so the depositor's payment increases by 8% each year. The deposit balance changes on any distribution date since inflation interest is added to the deposit balance and the annuity payment retires a portion of the existing principal with each iteration. FIG. 7 depicts the total principal and interest payment of the hypothetical account of FIG. 6. As will be appreciated, the payments to the account holder increase substantially over time. FIG. 8 graphically displays the “bookable” income components of the periodic retirements of the hypothetical deposit account. Note that the interest payments on the original deposit decreases in “straight-line” fashion with time, whereas the bookable accrued inflation adjustment and interest on accrued adjustment peak at approximately year 21 before declining.
b. Comparing the Effects of Anticipated Levels of Inflation on the Account
The data processing methodology of the present invention may be used to compare the cash flow characteristics of a particular type of deposit account for selected or anticipated levels of inflation. For example, Table I, which was generated using the servicing scheme of FIG. 4, numerically displays the cash flow characteristics of the typical Group IV account of the present example (i.e., it assumes an 8% level of inflation and a 4% fixed interest rate). Depicted therein are the periodic (i.e., yearly) bookable inflation adjustment, interest earned, deposit returned (i.e., principal retired), year-end account balance and the net cash flow.
Table II was also generated using the flow scheme of FIG. 4 and displays the cash flow characteristics of the same Group IV account but including an anticipated inflation rate of 6% instead of 8%. All other variables, including the term, deposit amount and fixed interest rate, are the same. The comparative cash flows for 8% and 6% inflation are displayed graphically in FIG. 9. Note










TABLE I







DEPOSIT AMOUNT:
$100.00
INTEREST RATE:
4.00%


TERM IN YEARS:
30
INFLATION:
8.00%







ANALYSIS FOR DEPOSITOR:













BOOK-







ABLE







INFLA-


YEAR




TION 
INTER-
DEPOSIT
END




ADJUST-
EST
RE-
BAL- 
CASH


YEAR
MENT
EARNED
TURNED
ANCE
FLOW















0



100.0000



1
8.0000
4.0000
1.7830
106.2170
5.7830


2
8.4974
4.2487
2.0054
112.7090
6.2540


3
9.0167
4.5084
2.2556
119.4701
6.7640


4
9.5576
4.7788
2.5374
126.4903
7.3162


5
10.1192
5.0596
2.8546
133.7550
7.9142


6
10.7004
5.3502
3.2117
141.2436
8.5619


7
11.2995
5.6497
3.6140
148.9292
9.2637


8
11.9143
5.9572
4.0671
156.7764
10.0243


9
12.5421
6.2711
4.5777
164.7408
10.8487


10
13.1793
6.5896
5.1531
172.7669
11.7427


11
13.8214
6.9107
5.8018
180.7865
12.7125


12
14.4629
7.2315
6.5334
188.7160
13.7648


13
15.0973
7.5486
7.3587
196.4546
14.9073


14
15.7164
7.8582
8.2901
203.8809
16.1483


15
16.3105
8.1552
9.3418
210.8496
17.4971


16
16.8680
8.4340
10.5301 
217.1875
18.9640


17
17.3750
8.6875
11.8734 
222.6891
20.5609


18
17.8151
8.9076
13.3934 
227.1108
22.3009


19
18.1689
9.0844
15.1147 
230.1650
24.1992


20
18.4132
9.2066
17.0665
231.5117
26.2731


21
18.5209
9.2605
19.2828 
230.7498
28.5433


22
18.4600
9.2300
21.8042 
227.4055
31.0342


23
18.1924
9.0962
24.6798 
220.9181
33.7760


24
17.6735
8.8367
27.9704 
210.6212
36.8071


25
16.8497
8.4248
31.7537 
195.7173
40.1785


26
15.6574
7.8287
36.1347 
175.2399
43.9634


27
14.0192
7.0096
41.2673 
147.9919
48.2769


28
11.8393
5.9197
47.4090
112.4222
53.3287


29
8.9938
4.4969
55.1089
66.3071
59.6058


30
5.3046
2.6523
66.3071
5.3046
68.9594





*THE BOOKABLE INFLATION ADJUSTMENT FOR THE 30TH YEAR WILL BE ADDED TO THE OTHER CASH FLOW COMPONENTS AND PAID AT THAT TIME, SO THE FINAL BALANCE WILL BE 0.
















TABLE II







DEPOSIT AMOUNT:
$100.00
INTEREST RATE:
4.00%


TERM IN YEARS:
30
INFLATION:
6.00%







ANALYSIS FOR DEPOSITOR:













BOOK-







ABLE







INFLA-


YEAR




TION 
INTER-
DEPOSIT
END




ADJUST-
EST
RE-
BAL- 
CASH


YEAR
MENT
EARNED
TURNED
ANCE
FLOW















0



100.0000



1
6.0000
4.0000
1.7830
104.2170
5.7830


2
6.2530
4.1687
1.9676
108.5024
6.1363


3
6.5101
4.3401
2.1715
112.8411
6.5116


4
6.7705
4.5136
2.3966
117.2150
6.9102


5
7.0329
4.6886
2.6452
121.6026
7.3338


6
7.2962
4.8641
2.9199
125.9789
7.7840


7
7.5587
5.0392
3.2234
130.3142
8.2626


8
7.8189
5.2126
3.5588
134.5743
8.7713


9
8.0745
5.3830
3.9294
138.7194
9.3124


10
8.3232
5.5488
4.3392
142.7034
9.8879


11
8.5622
5.7081
4.7922
146.4733
10.5004


12
8.7884
5.8589
5.2933
149.9684
11.1523


13
8.9981
5.9987
5.8478
153.1187
11.8465


14
9.1871
6.1247
6.4614
155.8445
12.5861


15
9.3507
6.2338
7.1408
158.0543
13.3746


16
9.4833
6.3222
7.8934
159.6442
14.2156


17
9.5787
6.3858
8.7276
160.4953
15.1134


18
9.6297
6.4198
9.6528
160.4722
16.0726


19
9.6283
6.4189
10.6798
159.4207
17.0987


20
9.5652
6.3768
11.8209
157.1651
18.1977


21
9.4299
6.2866
13.0904
153.5046
19.3770


22
9.2103
6.1402
14.5051
148.2097
20.6453


23
8.8926
5.9284
16.0849
141.0174
22.0133


24
8.4610
5.6407
17.8542
131.6243
23.4949


25
7.8975
5.2650
19.8439
119.6779
25.1089


26
7.1807
4.7871
22.0958
104.7627
26.8829


27
6.2858
4.1905
24.6706
86.3779
28.8611


28
5.1827
3.4551
27.6710
63.8896
31.1262


29
3.8334
2.5556
31.3184
36.4045
33.8740


30
2.1843
1.4562
36.4045
2.1843
37.8607





*THE BOOKABLE INFLATION ADJUSTMENT FOR THE 30TH YEAR WILL BE ADDED TO THE OTHER CASH FLOW COMPONENTS AND PAID AT THAT TIME, SO THE FINAL BALANCE WILL BE 0.






that there is a significant increase in payments in the later years of the Group IV account term with 8% when compared to 6% inflation.

Thus, by inserting various anticipated inflation rates into the servicing schemes of the present invention, the effects of inflation on the resultant cash flows of the account may be ascertained. In this manner, the effects of such accounts on the capital structure of the account holder may be anticipated and both cases prove that the depositor would receive a stream of payments with constant buying power at any time in the future regardless of the behavior of inflation.
Example II
The Partially-Hedged Program
A lending institution, under certain circumstances, may desire to match an inflation-adjusted deposit account with a standard-fixed-payment mortgage loan. Under such a “partially-hedged” match, the net cash flow to the institution during periods of lower inflation will be higher than during periods of high inflation. That is, the standard-fixed-payment loan will generate a fixed cash flow whereas the deposit account must be satisfied with the inflation-adjusted dollars.
For example, FIG. 10 displays the buildup of positive cash flow from an original $100 inflation-adjusted Group IV deposit account and a standard-fixed-payment loan program which are tracked for 30 years under the assumption that the deposits were used to fund 5-year loans at 10.5%, payable monthly, with principal amortized in equal semiannual payments and with net cash flows reinvested immediately on the same basis. These loan proceeds are compared to the cash obligations on the deposit account.
These calculations from a simultaneous deposit-loan transaction do not include any of the costs of loan administration or the servicing costs of the deposit account, which is minimal with large institutional deposits. The servicing fee has been netted out but there is no need to deduct the customary costs of a retail deposit activity from this spread.
Though the net interest spread is quite large not all of this cash flow needs to be immediately reflected as income for tax purposes since the inflation adjustment interest must be recognized as an expense for accounting and tax purposes. The accrual of the interest expense has the effect of reducing taxable income in the early years of the deposit account term. The accrual of the inflation adjustment interest to the deposit account balance is accurately reflected in the intermediaries' deposit liabilities and also in the intermediaries' net worth.
Table III shows both asset and liability balance adjustments through the 30-year term on the original $100 deposit and loan as well as the net return on assets. Even with only a 10.5% loan fixed rate, the net return on assets is reasonably high at 1.11% and grows over time. Tables IV and V convey the same information under an assumed loan rate of 11.5% and 12.5%, respectively. As one of skill in the art will appreciate, these higher loan rates substantially increase the net return on assets.
Interest Rate Risk
The actual net income and return on assets would depend on the spread of the loan rate above the cost of funds. The cost of funds in turn depends on the inflation rate. In a fixed rate market with a 10.5% prime rate and less than 4% inflation the spread is quite large and would result in a return on assets of approximately 2.5% if all funds were loaned out at prime.
An acceleration in inflation rates causes financial markets to adjust to higher inflation rates by increasing interest rates. If a surge of inflation were to occur this would work to the intermediary's benefit. Since short-term loan rates are highly sensitive to an acceleration of inflation, revenues should respond immediately whereas the inflation interest cost accrues but is paid out smoothly over time.
Furthermore, the market's response to inflation causes bank loan rates to increase more than the inflation rate. For example, in 1979 when inflation rates peaked out at 13%, prime reached 21% which would have substantially increased the bank's cash flows and after tax spreads. Acceleration of inflation and interest rates insulates the commercial bank from the payment shock of higher money market CD rates and widens the spread.
Generally with high interest rates and tight monetary policy there is a yield curve inversion in which shortterm rates exceed long-term rates. This too would open enormous profit opportunities for the commercial intermediary since the inflation-adjusted deposit funds are borrowed long and lent short.
The more significant risk to the commercial intermediary is from a reduction of inflation and interest rates. This, however, presents no special difficulties because the inflation interest is scaled down to the actual inflation rate. From the lending side lower








TABLE III







AB DEPOSIT INFORMATION
LOAN INFORMATION










INITIAL DEPOSIT:
$100
TERM & AMORTIZATION:
OPTIONAL


TERM (years):
30
LOAN & REINVESTMENT RATE (1):
10.50%


REAL INTEREST RATE:
3.50%
ORIGINATION FEE:
 0.00%









INFLATION RATE (1):
5.00%
BANK INFORMATION










TTH ARRANGEMENT FEE:
1.00%
MARGINAL TAX RATE:
 0.00%


TTH ANNUAL SERVICE FEE:
1.00%
DIVIDEND PAYOUT RATIO:
 0.00%














BALANCE SHEET
CASH FLOWS
RATIOS

















AB DEPOSIT
LOAN
NET
INTEREST
AB DEPOSIT
NET CASH
NET
RETURN ON
CAPITAL TO


YEAR
BALANCE
BALANCE
WORTH (2)
INCOME (3)
SERVICE
FLOW (3)
INCOME (2)
AVG ASSETS
ASSET RATIO





0
$100.000
$99.000









1
103.063
103.182
 $0.119
$10.910 
$6.468
$4.442
$1.119
1.11%
0.12%


2
106.109
107.519
1.410
11.371
6.775
4.596
1.291
1.23
1.31


3
109.122
112.014
2.892
11.849
7.097
4.752
1.482
1.35
2.58


4
112.084
116.673
4.589
12.344
7.434
4.911
1.696
1.48
3.93


5
114.976
121.499
6.524
12.858
7.786
5.072
1.935
1.62
5.37


6
117.773
126.497
8.725
13.390
8.154
5.236
2.201
1.78
6.90


7
120.449
131.672
11.223
13.940
8.539
5.402
2.498
1.93
8.52


8
122.976
137.027
14.051
14.511
8.941
5.570
2.828
2.10
10.25


9
125.321
142.567
17.246
15.101
9.361
5.740
3.195
2.29
12.10


10
127.447
148.297
20.850
15.711
9.801
5.910
3.604
2.48
14.06


11
129.313
154.221
24.908
16.343
10.260
6.082
4.058
2.68
16.15


12
130.872
160.343
29.471
16.996
10.741
6.255
4.563
2.90
18.38


13
132.074
166.668
34.594
17.670
11.243
6.427
5.123
3.13
20.76


14
132.861
173.200
40.340
18.367
11.768
6.599
5.746
3.38
23.29


15
133.168
179.944
46.776
19.087
12.317
6.770
6.436
3.65
25.99


16
132.925
186.904
53.978
19.830
12.892
6.939
7.203
3.93
28.88


17
132.052
194.083
62.031
20.597
13.493
7.105
8.053
4.23
31.96


18
130.459
201.485
71.026
21.389
14.122
7.267
8.995
4.55
35.25


19
128.048
209.114
81.066
22.204
14.781
7.423
10.040
4.89
38.77


20
124.707
216.970
92.264
23.045
15.472
7.573
11.198
5.26
42.52


21
120.312
225.057
104.745
23.911
16.198
7.713
12.481
5.65
46.54


22
114.724
233.372
118.648
24.802
16.962
7.840
13.903
6.07
50.84


23
107.786
241.913
134.127
25.718
17.768
7.951
15.479
6.51
55.44


24
99.320
250.671
151.351
26.660
18.621
8.039
17.224
6.99
60.38


25
89.123
259.632
170.509
27.625
19.530
8.094
19.158
7.51
65.67


26
76.959
268.770
191.811
28.612
20.509
8.104
21.301
8.06
71.37


27
62.549
276.036
215.488
29.619
21.576
8.042
25.677
8.66
77.50


28
45.539
287.342
241.802
30.641
22.781
7.859
26.314
9.31
84.15


29
25.438
296.490
271.051
31.666
24.226
7.440
29.249
10.02
91.42


30
1.272
304.877
303.605
32.674
26.341
6.333
32.553
10.83
99.58





(1) THESE RATES ARE TREATED AS CONSTANTS; HOWEVER, IF INFLATION INCREASES LENDING RATES ALSO RISE.


(2) THE NET WORTH AND INCOME COLUMNS ARE NET OF LOAN ORIGINATION AND SERVICING COSTS, FEES, TAXES AND DIVIDENDS AT THE STATED RATES.


(3) PRINCIPAL REPAYMENTS ARE PRESUMED TO BE REINVESTED AND THEREFORE ARE EXCLUDED FROM THE CASH FLOW ANALYSIS.
















TABLE IV







INITIAL DEPOSIT:
$100
TERM & AMORTIZATION:
OPTIONAL


TERM (years):
30
LOAN & REINVESTMENT RATE (1):
11.50%


REAL INTEREST RATE:
3.50%
ORIGINATION FEE:
 0.00%









INFLATION RATE (1):
5.00%
BANK INFORMATION










TTH ARRANGEMENT FEE:
1.00%
MARGINAL TAX RATE:
 0.00%


TTM ANNUAL SERVICE FEE:
1.00%
DIVIDEND PAYOUT RATIO:
 0.00%














BALANCE SHEET
CASH FLOWS
RATIOS

















AB DEPOSIT
LOAN
NET
INTEREST
AB DEPOSIT
NET CASH
NET
RETURN ON
CAPITAL TO


YEAR
BALANCE
BALANCE
WORTH (2)
INCOME (3)
SERVICE
FLOW (3)
INCOME (2)
AVG ASSETS
ASSET RATIO





0
$100.000
$99.000









1
103.063
104.277
 $1.214
$12.005
$6.468
$5.537
$2.214
2.18%
1.16%


2
106.109
109.887
3.778
12.645
6.775
5.869
2.564
2.39
3.44


3
109.122
115.858
6.736
13.325
7.097
6.228
2.958
2.62
5.81


4
112.084
122.221
10.137
14.049
7.434
6.615
3.401
2.86
8.29


5
114.976
129.010
14.035
14.820
7.786
7.035
3.898
3.10
10.88


6
117.773
136.263
18.490
15.644
8.154
7.490
4.455
3.36
13.57


7
120.449
144.020
23.570
16.523
8.539
7.985
5.080
3.63
16.37


8
122.976
152.328
29.351
17.464
8.941
8.523
5.781
3.90
19.27


9
125.321
161.238
35.917
18.471
9.361
9.110
6.566
4.19
22.28


10
127.447
170.808
43.361
19.552
9.801
9.751
7.444
4.48
25.39


11
129.313
181.101
51.789
20.712
10.260
10.452
8.427
4.79
28.60


12
130.872
192.188
61.316
21.960
10.741
11.219
9.527
5.10
31.90


13
132.074
204.148
72.074
23.305
11.243
12.062
10.758
5.43
35.30


14
132.861
217.067
84.207
24.755
11.768
12.987
12.133
5.76
38.79


15
133.168
231.046
97.877
26.321
12.317
14.004
13.670
6.10
42.36


16
132.925
246.191
113.266
28.016
12.892
15.125
15.389
6.45
46.01


17
132.052
262.626
130.574
29.853
13.493
16.360
17.308
6.80
49.72


18
130.459
280.485
150.026
31.846
14.122
17.724
19.452
7.16
53.49


19
128.048
299.921
171.873
34.011
14.781
19.231
21.847
7.53
57.31


20
124.707
321.101
196.394
36.368
15.472
20.896
24.521
7.90
61.16


21
120.312
344.212
223.900
38.936
16.198
22.738
27.507
8.27
65.05


22
114.724
369.465
254.741
41.739
16.962
24.777
30.840
8.64
68.95


23
107.786
397.088
289.302
44.801
17.768
27.034
34.561
9.02
72.86


24
99.320
427.337
328.017
48.151
18.621
29.530
38.715
9.39
76.76


25
89.123
460.492
371.369
51.819
19.530
32.288
43.352
9.77
80.65


26
76.959
496.856
419.897
55.839
20.509
35.330
48.528
10.14
84.51


27
62.549
536.752
474.203
60.248
21.578
38.671
54.306
10.51
88.35


28
45.539
580.503
534.963
65.086
22.781
42.305
60.760
10.88
92.16


29
25.438
628.376
602.938
70.391
24.226
46.165
67.975
11.25
95.95


30
1.272
680.286
679.014
76.197
26.341
49.855
76.076
11.63
99.81





(1) THESE RATES ARE TREATED AS CONSTANTS; HOWEVER, IF INFLATION INCREASES LENDING RATES ALSO RISE.


(2) THE NET WORTH AND INCOME COLUMNS ARE NET OF LOAN ORIGINATION AND SERVICING COSTS, FEES, TAXES AND DIVIDENDS AT THE STATED RATES.


(3) PRINCIPAL REPAYMENTS ARE PRESUMED TO BE REINVESTED AND THEREFORE ARE EXCLUDED FROM THE CASH FLOW ANALYSIS.
















TABLE V







INITIAL DEPOSIT:
$100
TERM & AMORTIZATION:
OPTIONAL


TERM (years):
30
LOAN & REINVESTMENT RATE (1):
12.50%


REAL INTEREST RATE:
3.50%
ORIGINATION FEE:
 0.00%









INFLATION RATE (1):
5.00%
BANK INFORMATION










TTH ARRANGEMENT FEE:
1.00%
MARGINAL TAX RATE:
 0.00%


TTH ANNUAL SERVICE FEE:
1.00%
DIVIDEND PAYOUT RATIO:
 0.00%














BALANCE SHEET
CASH FLOWS
RATIOS

















AB DEPOSIT
LOAN
NET
INTEREST
AB DEPOSIT
NET CASH
NET
RETURN ON
CAPITAL TO


YEAR
BALANCE
BALANCE
WORTH (2)
INCOME (3)
SERVICE
FLOW (3)
INCOME (2)
AVG ASSETS
ASSET RATIO





0
$100.000
 $99.000









1
103.063
105.381
 $2.318
$13.109
$6.468
 $6.641
 $3.318
3.25%
2.20%


2
106.109
112.301
6.192
13.954
6.775
7.179
3.874
3.56
5.51


3
109.122
119.818
10.696
14.870
7.097
7.773
4.504
3.88
8.93


4
112.084
127.998
15.914
15.866
7.434
8.432
5.218
4.21
12.43


5
114.976
136.916
21.940
16.949
7.786
9.163
6.026
4.55
16.02


6
117.773
146.654
28.881
18.130
8.154
9.976
6.941
4.90
19.69


7
120.449
157.307
36.858
19.419
8.539
10.881
7.977
5.25
23.43


8
122.976
168.982
46.005
20.830
8.941
11.889
9.147
5.61
27.23


9
125.321
181.797
56.476
22.376
9.361
13.015
10.470
5.97
31.07


10
127.447
195.888
68.441
24.073
9.801
14.272
11.965
6.34
34.94


11
129.313
211.408
82.095
25.939
10.260
15.678
13.654
6.70
38.83


12
130.872
228.528
97.656
27.994
10.741
17.253
15.561
7.07
42.73


13
132.074
247.444
115.370
30.261
11.243
19.018
17.714
7.44
46.62


14
132.861
268.374
135.514
32.766
11.768
20.997
20.144
7.81
50.49


15
133.168
291.568
158.400
35.537
12.317
23.220
22.886
8.17
54.33


16
132.925
317.305
184.380
38.608
12.892
25.717
25.980
8.53
58.11


17
132.052
345.903
213.851
42.016
13.493
28.524
29.471
8.89
61.82


18
130.459
377.720
247.261
45.803
14.122
31.681
33.410
9.23
65.46


19
128.048
413.160
285.113
50.016
14.781
35.235
37.852
9.57
69.01


20
124.707
452.681
327.974
54.709
15.472
39.237
42.862
9.90
72.45


21
120.312
496.799
376.487
59.942
16.198
43.744
48.513
10.22
75.78


22
114.724
546.096
431.372
65.784
16.962
48.822
54.885
10.53
78.99


23
107.786
601.231
493.445
72.312
17.768
54.544
62.072
10.82
82.07


24
99.320
662.942
563.622
79.613
18.621
60.992
70.177
11.10
85.02


25
89.123
732.062
642.939
87.784
19.530
68.254
79.317
11.37
87.83


26
76.959
809.524
737.565
96.937
20.509
76.428
89.626
11.63
90.49


27
62.549
896.365
833.817
107.194
21.578
85.616
101.252
11.87
93.02


28
45.539
993.723
948.184
118.693
22.781
95.912
114.367
12.10
95.42


29
25.438
1102.790
1077.352
131.585
24.226
107.359
129.168
12.32
97.69


30
1.272
1224.530
1223.258
146.027
26.341
119.686
145.906
12.54
99.90





(1) THESE RATES ARE TREATED AS CONSTANTS; HOWEVER, IF INFLATION INCREASES LENDING RATES ALSO RISE.


(2) THE NET WORTH AND INCOME COLUMNS ARE NET OF LOAN ORIGINATION AND SERVICING COSTS, FEES, TAXES AND DIVIDENDS AT THE STATED RATES.


(3) PRINCIPAL REPAYMENTS ARE PRESUMED TO BE REINVESTED AND THEREFORE ARE EXCLUDED FROM THE CASH FLOW ANALYSIS.






inflation rates do tend to lower interest rates but not quite one for one, as skeptical lenders demand inflation risk premiums against the possibility of renewed future inflation.

If deflation were actually to occur the inflation-adjusted Group IV deposit account still calls for interest payments based on the fixed amortization rate and deflation results in credits which carry forward to offset future inflation interest. While the deposit rate at a minimum is equal to the fixed amortization rate of 3.5%, loan rates should be sufficient to cover the fixed amortization rate.
Example III
The Fully-Hedged Program
a. Hedging the Interest Rate Risk
It is possible to fully hedge the inflation interest cost by lending funds received by the intermediary in deposit accounts on an inflation-adjusting loan rate basis. An intermediary could, for example, make funds available to corporate borrowers for medium-term corporate needs of between 3 and 10 years. The present invention provides an inflation-adjusting loan account similar in structure to the inflation-adjusted deposit but, preferrably, with a shorter maturity. Again, the lengthy deferrals on the deposit and the shorter repayment schedules on the loan allows the intermediary bank to capitalize on the time value of the more rapid principal repayment on the assets than is needed to service the liabilities. The return on assets is magnified by these deferrals.
Such hedging would eliminate real interest rate risk during the term of the account having the shortest maturity, but would not achieve a “matched” asset and liability balance for the intermediary. This variation of the hedged program is not fully matched because there are dissimilar terms to maturity of the loan accounts as compared to the deposit accounts. Thus, when the term of both accounts are dissimilar, some degree of risk will still be present for the intermediary. This is because upon renewal of the account having the shorter term, a variation in fixed or “real” interest rates may have developed in the market. And potentially, the intermediary could find itself with unbalanced cash flows. The different terms would also leave the intermediary with an unmatched balance sheet. However, it may nevertheless be desirable for intermediaries to hedge inflation-adjusted loan and deposit accounts without fully matching terms because certain intermediaries may be unable to solicit sufficient numbers of long-term loan accounts with adequate underwriting characteristics to satisfy a fully matched program.
b. The Fully Hedged “Matched” Program
It is also possible to exactly match the inflation-adjusting deposit with an inflation-adjusting loan of equal maturity which would totally reduce the financial risk from variable inflation rates and yield curve inversions. In this case, the intermediary would be servicing long-term loans, most likely to finance real estate or other durable plant and equipment. With similar maturities of both the loan and deposit accounts, the intermediary can earn a constant spread over its cost of money with matching deposit and loan contracts. This would fully hedge the real interest rate risk. These loans would also generate substantial front end fees for the intermediary.
Table VI illustrates the effect on the balance sheet and cash flow of an intermediary when the intermediary takes the excess cash flow generated by the matched accounts and reinvests this in new loan accounts with similar terms to the original account. In contrast to Table III, there are generally origination fees associated with such long term loans, which would be equal to the arrangement fees charged by the organizer. It can be observed in Table VI that the total net worth generated by such a fully matched program would be more advantageous to the intermediary than the total net worth generated by a situation such as depicted in Table III, in spite of the fact that receipts by the intermediary would be substantially lower in the initial years than those generated by the partially hedged programs.
Again, in contrast to the situation of a partially hedged program, the exact match between the loan and the deposit account results in identical net cash flow and net income, without the need to rely upon the current tax code in order to generate an additional advantage to the intermediary. The fully matched program will also have in effect a higher initial return on average assets. It should be pointed out that Table VI assumes that the income from the loan accounts flows into the intermediary on a monthly basis and the payments due the deposit account holder must be made on a yearly basis. In this period of time, the intermediary has had the opportunity to invest these funds at the stated float investment rate.
Table VII shows the situation under a fully hedged matched program wherein the loan account and deposit account both have an initial balance of $100 and a term of 30 years. In Table VII, no assumption is made regarding any reinvestment by the intermediary of the income obtained from the loan account. Rather, it demonstrates what the yearly income to the intermediary would be before covering the annual service fee to the organizer under the column titled Spread Retained. Both the loan and deposit accounts have identical values throughout the term of the accounts. These values are shown under the column titled Adjusted Principal. The cash income generated to the intermediary is shown in Table VII under the column titled ABML Payments. This income has two components: the principal payment and the interest payment. The interest payment in turn is split into the portion of interest that is passed through to the deposit account holder and the portion that is retained by the intermediary institution shown under the column titled Spread Retained.
The advantages of such a loan program to the intermediary are further depicted in Table VII in the remaining column, where in this case an assumption has been made that a property with a market value of $125 is financed by the loan account, and the loan granted by the intermediary represents 80% of the value of such a property. Table VII further makes an assumption that the property increases in value over time in direct proportion to inflation and as a result if such a property generated operating net income before debt service at a rate of 9.5% of its value such operating income would increase over time also in direct proportion to inflation.
The next column of Table VII titled Loan to Value Ratio shows how each year the principal repayment which takes place reduces the loan to value ratio from the initial 80% to levels of 60% by year 11, 40% by year 19, 21% by year 25 and essentially 0 by the end of the 30th year. The debt coverage ratio which is calculated by dividing the net operating income of a property by the payments due for debt service thereon is much higher than that consistently found in such loans by those skilled in the art, with a resulting value of 1.49 in the first year whereas the industry standards usually range between 1.0 and 1.2.
To further emphasize the advantages to the intermediaries, it should be pointed out that this debt coverage ratio of 1.49 is improved in subsequent years to levels of 1.55 by year 14, 1.64 by year 21, 1.75 by year 27, etc. The last column shows that in terms of “constant dollars,” the payments made by the borrower to service the loan over time are actually reduced from an initial 7.55 to a level of 6.2 by the 30th year. As the present invention demonstrates, the income paid to the deposit holder maintains a constant purchasing power, and yet in terms of constant purchasing power the stream of payments that must be made by the borrower decreases over time.
Tables VIII and IX show the behavior of the loan to value of ratios and debt coverage ratios over time when the property financed by the loan account cannot maintain its value at the same pace as prices increase. Table VIII presents the case of the property appreciating at a rate of 1% less than the rate of inflation. In this case, the loan to value ratio is also constantly reduced and the debt coverage ratio no longer shows a continuous improvement over time but nevertheless reaches a minimum value of 1.32 in the last year. Yet this is substantially higher than the norm found in the industry. Table IX shows the case where the property fails to keep up with the rate of inflation by 2% per annum. In this case, the loan to value rate will initially show a slight increase and thereafter decreases although at a slower pace. The debt coverage ratio in this case decreases at a faster








TABLE VI







AB DEPOSIT INFORMATION
LOAN INFORMATION










INITIAL DEPOSIT:
$100
TERM & AMORTIZATION:
30


TERM (years):
30
CONSTANT INTEREST RATE:
 2.50%


REAL INTEREST RATE:
3.50%
ORIGINATION FEE:
 2.00%


INFLATION RATE:
5.00%
FLOAT INVESTMENT NOMINAL RATE (1):
10.00%









TTH ARRANGEMENT FEE:*
2.00%
S & L INFORMATION










TTH ANNUAL SERVICE FEE:
1.00%
MARGINAL TAX RATE:
 0.00%




DIVIDEND PAYOUT RATIO:
 0.00%














BALANCE SHEET
CASH FLOWS
RATIOS

















AB DEPOSIT
LOAN
NET
ABML
AB DEPOSIT
NET CASH
NET
RETURN ON
CAPITAL TO


YEAR
BALANCE
BALANCE
WORTH (2)
PMTS
SERVICE
FLOW
INCOME (2)
AVG ASSETS
ASSET RATIO





0
$100.000
$100.000









1
103.063
104.976
 $1.913
8.351
6.437
$1.913
1.913
1.87%
1.82%


2
106.109
110.160
4.051
8.883
6.745
2.138
2.138
1.99
3.68


3
109.122
115.561
6.439
9.455
7.067
2.388
2.388
2.12
5.57


4
112.084
121.191
9.107
10.072
7.404
2.668
2.668
2.25
7.51


5
114.976
127.063
12.087
10.737
7.757
2.981
2.981
2.40
9.51


6
117.773
133.190
15.418
11.456
8.126
3.330
3.330
2.56
11.58


7
120.449
139.588
19.138
12.232
8.512
3.721
3.721
2.73
13.71


8
122.976
146.272
23.296
13.073
8.916
4.157
4.157
2.91
15.93


9
125.321
153.262
27.941
13.983
9.338
4.645
4.645
3.10
18.23


10
127.447
160.578
33.131
14.970
9.780
5.190
5.190
3.31
20.63


11
129.313
168.243
38.930
16.041
10.242
5.800
5.800
3.53
23.14


12
130.872
176.283
45.411
17.206
10.725
6.481
6.481
3.76
25.76


13
132.074
184.727
52.653
18.473
11.231
7.242
7.242
4.01
28.50


14
132.861
193.606
60.745
19.853
11.760
8.093
8.093
4.28
31.38


15
133.168
202.957
69.789
21.358
12.314
9.044
9.044
4.56
34.39


16
132.925
212.821
79.896
23.001
12.894
10.107
10.107
4.86
37.54


17
132.052
223.243
91.191
24.796
13.501
11.295
11.295
5.18
40.85


18
130.459
234.274
103.815
26.761
14.138
12.624
12.624
5.52
44.31


19
128.048
245.971
117.923
28.914
14.805
14.109
14.109
5.88
47.94


20
124.707
258.400
133.693
31.275
15.506
15.769
15.769
6.25
51.74


21
120.312
271.631
151.319
33.868
16.242
17.626
17.626
6.65
55.71


22
114.724
285.745
171.021
36.720
17.018
19.702
19.702
7.07
59.85


23
107.786
300.830
193.044
39.860
17.837
22.023
22.023
7.51
64.17


24
99.320
316.983
217.663
43.325
18.706
24.619
24.619
7.97
68.67


25
89.123
334.349
245.187
47.156
19.632
27.523
27.523
8.45
73.34


26
76.959
352.918
275.958
51.402
20.630
30.772
30.772
8.96
78.19


27
62.549
372.914
310.365
56.129
21.722
34.407
34.407
9.48
83.23


28
45.539
394.381
348.842
61.428
22.951
38.477
38.477
10.03
88.45


29
25.438
417.319
391.881
67.466
24.427
43.039
43.039
10.60
93.90


30
1.272
441.327
440.055
74.758
26.583
48.175
48.175
11.22
99.71





(1) THIIS RATE IS TREATED AS A CONSTANT; HOWEVER, IF INFLATION INCREASES FLOAT INVESTMENT RATE ALSO RISES.


(2) THE NET WORTH AND INCOME COLUMNS ARE NET OF LOAN ORIGINATION AND SERVICING COSTS, FEES, TAXES AND DIVIDENDS AT THE STATED RATE


*THE ARRANGEMENT FEE WOULD EQUAL THE ORIGINATION FEE


















TABLE VII







LOAN AMOUNT:
$100.00
BUILDING VALUE:
$125.00
BUILDING ROR:
9.50%


TERM IN YEARS:
30
INFLATION:
5.00%
SPREAD:
2.50%


INTEREST RATE:
3.50%
APPRECIATION RATE:
5.00%










ANALYSIS FOR DEPOSITORY INSTITUTION:




















PRIN-
IN-
IN-

AD-









CIPAL 
TEREST
TEREST
SPREAD
JUSTED
BUILD-

BUILD-
DEBT
REAL



ABML
PAY-
PAY-
PASS-
RE-
PRIN-
ING
L/V
ING
COV-
PAY-


YEAR
PMTS
MENT
MENT
THROUG 
TAINED
CIPAL
VALUE
RATIO
INCOME
ERAGE
MENT





0





100.0000
125.0000






1
7.9371
1.9371
6.0000
3.5000
2.5000
103.0629
131.2500
0.7852
11.8750
1.4961
7.5592


2
8.2909
2.1072
6.1838
3.6072
2.5766
106.1089
137.8125
0.7700
12.4688
1.4323
7.5201


3
8.6588
2.2922
6.3665
3.7138
2.6527
109.1221
144.7031
0.7541
13.0922
1.4400
7.4798


4
9.0410
2.4937
6.5473
3.8193
2.7281
112.0845
151.9383
0.7377
13.7468
1.4481
7.4381


5
9.4381
2.7130
6.7251
3.9230
2.8021
114.9756
159.5352
0.7207
14.4341
1.4565
7.3950


6
9.8504
2.9519
6.8985
4.0241
2.8744
117.7725
167.5120
0.7031
15.1558
1.4653
7.3505


7
10.2783
3.2120
7.0664
4.1220
2.9443
120.4492
175.8876
0.6848
15.9136
1.4745
7.3046


8
10.7222
3.4953
7.2269
4.2157
3.0112
122.9763
184.6819
0.6659
16.7093
1.4842
7.2572


9
11.1825
3.8039
7.3786
4.3042
3.0744
125.3212
193.9160
0.6463
17.5448
1.4942
7.2083


10
11.6595
4.1402
7.5193
4.3862
3.1330
127.4471
203.6118
0.6259
18.4220
1.5048
7.1579


11
12.1535
4.5067
7.6468
4.4606
3.1862
129.3128
213.7924
0.6049
19.3431
1.5158
7.1059


12
12.6649
4.9062
7.7588
4.5259
3.2328
130.8723
224.4820
0.5830
20.3103
1.5273
7.0523


13
13.1941
5.3418
7.8523
4.5805
3.2718
132.0741
235.7061
0.5603
21.3258
1.5393
6.9971


14
13.7414
5.8170
7.9244
4.6226
3.3019
132.8608
247.4914
0.5368
22.3921
1.5519
6.9403


15
14.3071
6.3354
7.9717
4.6501
3.3215
133.1684
259.8660
0.5125
23.5117
1.5651
6.8820


16
14.8916
6.9015
7.9901
4.6609
3.3292
132.9254
272.8593
0.4872
24.6873
1.5789
6.8220


17
15.4952
7.5197
7.9755
4.6524
3.3231
132.0520
286.5023
0.4609
25.9216
1.5932
6.7605


18
16.1185
8.1954
7.9231
4.6218
3.3013
130.4592
300.8274
0.4337
27.2177
1.6082
6.6976


19
16.7619
8.9344
7.8276
4.5661
3.2615
128.0478
315.8688
0.4054
28.5786
1.6238
6.6333


20
17.4263
9.7434
7.6829
4.4817
3.2012
124.7068
331.6622
0.3760
30.0075
1.6400
6.5678


21
18.1126
10.6302
7.4824
4.3647
3.1177
120.3120
348.2453
0.3455
31.5079
1.6567
6.5014


22
18.8223
11.6036
7.2187
4.2109
3.0078
114.7240
365.6576
0.3137
33.0833
1.6740
6.4344


23
19.5578
12.6743
6.8834
4.0153
2.8681
107.7858
383.9405
0.2807
34.7375
1.6916
6.3674


24
20.3224
13.8553
6.4672
3.7725
2.6946
99.3198
403.1375
0.2464
36.4743
1.7093
6.3013


25
21.1222
15.1630
5.9592
3.4762
2.4830
89.1229
423.2944
0.2105
38.2981
1.7268
6.2374


26
21.9671
16.6198
5.3474
3.1193
2.2281
76.9592
444.4591
0.1732
40.2130
1.7434
6.1781


27
22.8762
18.2587
4.6176
2.6936
1.9240
62.5485
466.6820
0.1340
42.2236
1.7578
6.1274


28
23.8894
20.1365
3.7529
2.1892
1.5637
45.5395
490.0161
0.0929
44.3348
1.7675
6.0940


29
25.1105
22.3781
2.7324
1.5939
1.1385
25.4383
514.5169
0.0494
46.5515
1.7656
6.1005


30
26.9646
25.4383
1.5263
0.8903
0.6360
1.2719
540.2428
0.0024
48.8791
1.7264
6.2390





















TABLE VIII







LOAN AMOUNT:
$100.00
BUILDING VALUE:
$125.00
BUILDING ROR:
9.50%


TERM IN YEARS:
30
INFLATION:
5.00%
SPREAD:
2.50%


INTEREST RATE:
3.50%
APPRECIATION RATE:
4.00%










ANALYSIS FOR DEPOSITORY INSTITUTION:




















PRIN-
IN-
IN-

AD-









CIPAL 
TEREST
TEREST
SPREAD
JUSTED
BUILD-

BUILD-
DEBT
REAL



ABML
PAY-
PAY-
PASS-
RE-
PRIN-
ING
L/V
ING
COV-
PAY-


YEAR
PMTS
MENT
MENT
THROUG 
TAINED
CIPAL
VALUE
RATIO
INCOME
ERAGE
MENT





0





100.0000
125.0000






1
7.9371
1.9371
6.0000
3.5000
2.5000
103.0629
130.0000
0.7928
11.8750
1.4961
7.5592


2
8.2909
2.1072
6.1838
3.6072
2.5766
106.1089
135.2000
0.7848
12.3500
1.4323
7.5201


3
8.6588
2.2922
6.3665
3.7138
2.6527
109.1221
140.6080
0.7761
12.8440
1.4263
7.4798


4
9.0410
2.4937
6.5473
3.8193
2.7281
112.0845
146.2323
0.7665
13.3578
1.4206
7.4381


5
9.4381
2.7130
6.7251
3.9230
2.8021
114.9756
152.0816
0.7560
13.8921
1.4153
7.3950


6
9.8504
2.9519
6.8985
4.0241
2.8744
117.7725
158.1649
0.7446
14.4478
1.4103
7.3505


7
10.2783
3.2120
7.0664
4.1220
2.9443
120.4492
164.4915
0.7323
15.0257
1.4057
7.3046


8
10.7222
3.4953
7.2269
4.2157
3.0112
122.9763
171.0711
0.7189
15.6267
1.4014
7.2572


9
11.1825
3.8039
7.3786
4.3042
3.0744
125.3212
177.9140
0.7044
16.2518
1.3974
7.2083


10
11.6595
4.1402
7.5193
4.3862
3.1330
127.4471
185.0305
0.6888
16.9018
1.3939
7.1579


11
12.1535
4.5067
7.6468
4.4606
3.1862
129.3128
192.4318
0.6720
17.5779
1.3907
7.1059


12
12.6649
4.9062
7.7588
4.5259
3.2328
130.8723
200.1290
0.6539
18.2810
1.3879
7.0523


13
13.1941
5.3418
7.8523
4.5805
3.2718
132.0741
208.1342
0.6346
19.0123
1.3855
6.9971


14
13.7414
5.8170
7.9244
4.6226
3.3019
132.8608
216.4596
0.6138
19.7727
1.3836
6.9403


15
14.3071
6.3354
7.9717
4.6501
3.3215
133.1684
225.1179
0.5915
20.5637
1.3820
6.8820


16
14.8916
6.9015
7.9901
4.6609
3.3292
132.9254
234.1227
0.5678
21.3862
1.3809
6.8220


17
15.4952
7.5197
7.9755
4.6524
3.3231
132.0520
243.4876
0.5423
22.2417
1.3802
6.7605


18
16.1185
8.1954
7.9231
4.6218
3.3013
130.4592
253.2271
0.5152
23.1313
1.3799
6.6976


19
16.7619
8.9344
7.8276
4.5661
3.2615
128.0478
263.3561
0.4862
24.0566
1.3800
6.6333


20
17.4263
9.7434
7.6829
4.4817
3.2012
124.7068
273.8904
0.4553
25.0188
1.3805
6.5678


21
18.1126
10.6302
7.4824
4.3647
3.1177
120.3120
284.8460
0.4224
26.0196
1.3813
6.5014


22
18.8223
11.6036
7.2187
4.2109
3.0078
114.7240
296.2398
0.3873
27.0604
1.3824
6.4344


23
19.5578
12.6743
6.8834
4.0153
2.8681
107.7858
308.0894
0.3499
28.1428
1.3836
6.3674


24
20.3224
13.8553
6.4672
3.7725
2.6946
99.3198
320.4130
0.3100
29.2685
1.3848
6.3013


25
21.1222
15.1630
5.9592
3.4762
2.4830
89.1229
333.2295
0.2675
30.4392
1.3857
6.2374


26
21.9671
16.6198
5.3474
3.1193
2.2281
76.9592
346.5587
0.2221
31.6568
1.3857
6.1781


27
22.8762
18.2587
4.6176
2.6936
1.9240
62.5485
360.4211
0.1735
32.9231
1.3838
6.1274


28
23.8894
20.1365
3.7529
2.1892
1.5637
45.5395
374.8379
0.1215
34.2400
1.3781
6.0940


29
25.1105
22.3781
2.7324
1.5939
1.1385
25.4383
389.8314
0.0653
35.6096
1.3636
6.1005


30
26.9646
25.4383
1.5263
0.8903
0.6360
1.2719
405.4247
0.0031
37.0340
1.3206
6.2390





















TABLE IX







LOAN AMOUNT:
$100.00
BUILDING VALUE:
$125.00
BUILDING ROR:
9.50%


TERM IN YEARS:
30
INFLATION:
5.00%
SPREAD:
2.50%


INTEREST RATE:
3.50%
APPRECIATION RATE:
3.00%










ANALYSIS FOR DEPOSITORY INSTITUTION:




















PRIN-
IN-
IN-

AD-









CIPAL 
TEREST
TEREST
SPREAD
JUSTED
BUILD-

BUILD-
DEBT
REAL



ABML
PAY-
PAY-
PASS-
RE-
PRIN-
ING
L/V
ING
COV-
PAY-


YEAR
PMTS
MENT
MENT
THROUG 
TAINED
CIPAL
VALUE
RATIO
INCOME
ERAGE
MENT





0





100.0000
125.0000






1
7.9371
1.9371
6.0000
3.5000
2.5000
103.0629
128.7500
0.8005
11.8750
1.4961
7.5592


2
8.2909
2.1072
6.1838
3.6072
2.5766
106.1089 
132.6125
0.8001
12.2313
1.4323
7.5201


3
8.6588
2.2922
6.3665
3.7138
2.6527
109.1221 
136.5909
0.7989
12.5982
1.4126
7.4798


4
9.0410
2.4937
6.5473
3.8193
2.7281
112.0845 
140.6886
0.7967
12.9761
1.3934
7.4381


5
9.4381
2.7130
6.7251
3.9230
2.8021
114.9756 
144.9093
0.7934
13.3654
1.3749
7.3950


6
9.8504
2.9519
6.8985
4.0241
2.8744
117.7725 
149.2565
0.7891
13.7664
1.3568
7.3505


7
10.2783
3.2120
7.0664
4.1220
2.9443
120.4492 
153.7342
0.7835
14.1794
1.3394
7.3046


8
10.7222
3.4953
7.2269
4.2157
3.0112
122.9763
158.3463
0.7766
14.6048
1.3224
7.2572


9
11.1825
3.8039
7.3786
4.3042
3.0744
125.3212 
163.0966
0.7684
15.0429
1.3060
7.2083


10
11.6595
4.1402
7.5193
4.3862
3.1330
127.4471
167.9895
0.7587
15.4942
1.2902
7.1579


11
12.1535
4.5067
7.6468
4.4606
3.1862
129.3128 
173.0292
0.7473
15.9590
1.2749
7.1059


12
12.6649
4.9062
7.7588
4.5259
3.2328
130.8723 
178.2201
0.7343
16.4378
1.2601
7.0523


13
13.1941
5.3418
7.8523
4.5805
3.2718
132.0741 
183.5667
0.7195
16.9309
1.2458
6.9971


14
13.7414
5.8170
7.9244
4.6226
3.3019
132.8608 
189.0737
0.7027
17.4388
1.2321
6.9403


15
14.3071
6.3354
7.9717
4.6501
3.3215
133.1684 
194.7459
0.6838
17.9620
1.2189
6.8820


16
14.8916
6.9015
7.9901
4.6609
3.3292
132.9254 
200.5883
0.6627
18.5009
1.2062
6.8220


17
15.4952
7.5197
7.9755
4.6524
3.3231
132.0520 
206.6060
0.6391
19.0559
1.1940
6.7605


18
16.1185
8.1954
7.9231
4.6218
3.3013
130.4592
212.8041
0.6130
19.6276
1.1822
6.6976


19
16.7619
8.9344
7.8276
4.5661
3.2615
128.0478 
219.1883
0.5842
20.2164
1.1710
6.6333


20
17.4263
9.7434
7.6829
4.4817
3.2012
124.7068 
225.7639
0.5524
20.8229
1.1601
6.5678


21
18.1126 
10.6302
7.4824
4.3647
3.1177
120.3120
232.5368
0.5174
21.4476
1.1496
6.5014


22
18.8223 
11.6036
7.2187
4.2109
3.0078
114.7240
239.5129
0.4790
22.0910
1.1395
6.4344


23
19.5578 
12.6743
6.8834
4.0153
2.8681
107.7858
246.6983
0.4369
22.7537
1.1295
6.3674


24
20.3224 
13.8553
6.4672
3.7725
2.6946
99.3198
254.0993
0.3909
23.4363
1.1196
6.3013


25
21.1222 
15.1630
5.9592
3.4762
2.4830
89.1229
261.7222
0.3405
24.1394
1.1096
6.2374


26
21.9671 
16.6198
5.3474
3.1193
2.2281
76.9592
269.5739
0.2855
24.8636
1.0989
6.1781


27
22.8762 
18.2587
4.6176
2.6936
1.9240
62.5485
277.6611
0.2253
25.6095
1.0869
6.1274


28
23.8894 
20.1365
3.7529
2.1892
1.5637
45.5395
285.9910
0.1592
26.3778
1.0720
6.0940


29
25.1105 
22.3781
2.7324
1.5939
1.1385
25.4383
294.5707
0.0864
27.1691
1.0505
6.1005


30
26.9646 
25.4383
1.5263
0.8903
0.6360
1.2719
303.4078
0.0042
27.9842
1.0076
6.2390









rate and yet by the 30th year is still higher than 1. This means that the income generated by the property will fully cover the cost of debt service associated with the loan at that time.

While matching will reduce the interest rate exposure of the intermediary it will not increase credit risk. In fact, because the borrower's debt service on an inflation-adjusting loan with a 300 basis point markup is quite modest at 8.25 per $100, there is substantial debt coverage.
This option is especially attractive to intermediaries that undertake interim construction loans on real estate because the long-term inflation-adjusting deposit accounts with its potential to finance a long-term inflation-adjusting Mortgage loans would provide permanent takeout money for the intermediary. This would be true either by design or necessity. In this case the intermediary enters a fully matched-book program on a long-term rather than a short-term basis.
In order to maintain the longevity of the match, the deposit and loan account would provide for substantial penalties for early withdrawal and correspondingly, the loan account would carry a substantial prepayment penalty. These penalties do not significantly detract from the appeal of both the deposit and loan accounts.
The foregoing invention has been described in terms of preferred embodiments. However, those of skill in the art will recognize that many variations of such embodiments exist. Such variations are intended to be within the scope of the present invention and the appended claims.

## Claims

1. An apparatus comprising:
a dataprocessor suitably configured to:
periodically adjust a principal component of a financial instrument for inflation based on the Consumer Price Index (CPI) to obtain an inflation-adjusted principal component; and
compute an accrual component of said financial instrument, said accrual component including an interest rate fixed for a term of the financial instrument;

wherein periodic interest payments are paid based on the inflation-adjusted principal component at the time said periodic interest payments are paid; and
wherein the inflation-adjusted principal component is payable at the end of the term.

2. The apparatus of claim 1, wherein said Consumer Price Index (CPI) comprises the Consumer Price Index for all urban consumers (CPI-U).

3. The apparatus of claim 1, wherein said financial instrument comprises a debt instrument.

4. The apparatus of claim 3, wherein said debt instrument comprises a bond, a certificate of deposit or an annuity account.

5. An apparatus comprising:
a dataprocessor suitably configured to:
compute a principal component of a financial instrument; and
compute an accrual component of said financial instrument, said accrual component having fixed and variable interest components payable periodically, said variable interest component being adjusted by said dataprocessor for inflation based on the Consumer Price Index (CPI);

wherein the principal component is payable at the end of a term of the financial instrument.

6. The apparatus of claim 5, wherein said Consumer Price Index (CPI) comprises the Consumer Price Index for all urban consumers (CPI-U).

7. The apparatus of claim 5, wherein said financial instrument comprises a debt instrument.

8. The apparatus of claim 7, wherein said debt instrument comprises a bond, a certificate of deposit or an annuity account, said accrual component