Investment Strategies

Posted on April 3, 2006 11 Comments

Brian and I were just discussing my lack of current investment strategy and I thought I’d share the dialogue with you all to get you opinions. Now that I have a bit of savings (not much, though), I’d like to put it into some kind of investment. I’ve been writing about this “next step” for a while, but am still warming up to the idea of risk and trying to find out exactly what I’m comfortable with.

My thought is to start small (baby steps) with a short-term, low-risk investment. After some research, I found myself looking into U.S. Treasury bonds, specifically class I bonds, which are currently paying out at 6.75%. I thought that I’d keep approximately $3,000 in my savings account (for my “rainy day” fund) and then purchase three $1,000 bonds that mature after one year. Brian thought this was pointless because after one-year, I’d only make about $60 for each $1,000 bond, or about $180 total. I think that although this is minuscule, it may get me fired up about investing and it’s more than what I’m getting out of my savings account.

Brian says if I insist on a fixed investment, I should put $1,500 in bonds or a mutual fund, and then put another $1,500 in stocks on E-Trade. I told him I don’t have time to research stocks or keep up with their fluctuations, and he said you can set the account up to sell when the stock hits a low or high number that I determine. I just can’t imagine loosing my hard-earned money when it represents such a big percentage of my total savings, and I’m a little jaded by the whole Enron escapade. The fact that an individual can just lose his or her life savings because of one company just makes me crazy! Also, I don’t know where to start.

So I’m going to do some more reading on the subject. I’m starting here:
http://www.wife.org/

…and I’m going to take a peek into my Suze Ormon books, too, and perhaps take a trip to the library. But I’d love to hear what you think, especially those readers of mine who are financial professionals, and those who invest on their own.

My main goal right now is to save up for a downpayment on a house. As many of you know, I also have a retirement fund that I contribute to. Currently, I sock away about $200 per month to my savings account and $200 to my retirement fund. At this time, I can’t increase those payments.

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Comments

11 Responses to “Investment Strategies”

  1. Al
    April 3rd, 2006 @ 1:56 am

    Sharebuilder, you can invest a set amount a month as well as other amounts to get you started. You can do bond ETF’s, stock ETF’s, whatever.

  2. Anonymous
    April 3rd, 2006 @ 4:37 am

    you may want to check into the I-bonds just a little more. While it’s true that if you were to buy them today, you’d get more than 6% – that rate is only for 6 months. The composite rate is based on 2 different combined rates, a fixed component and a variable component. Right now, the fixed component is somewhere around 1%, and the inflation component is around 5.5% (I think). After six months, the inflation component will adjust based on the CPI numbers. (there’s a specific CPI number, but I can’t remember which one). Anyhow, inflation the past six months has been VERY low. If the trend holds, when the new inflation numbers come out around mid-April – the inflation component of the I-bond may be close to 0%. If that’s the case, then the bonds you purchase now will earn about 6.75% for 6 months, then about 1% for the next six months. Plus, you can’t cash them in for 12 months, and if you cash them in before 5 years, you lose the last 3 months of interest. Just something to think about…..I-bonds aren’t looking to be the best place to invest in the near term.

  3. RS
    April 3rd, 2006 @ 1:47 pm

    Nicole,
    Forget bonds…you are too young to have that as your primary investment outside of your retirement fund.
    You should look at opening a Vanguard account and investing in some of their low-cost index funds. A good one to start with would be their Total Stock Market Fund and then when you save some more, branch out into the Total International Stock Market fund.
    This strategy will be safer than putting your money into 1 or 2 stocks, and better over the long run than buying a few bonds.

    Hope that helps a little.
    -RS

  4. RS
    April 3rd, 2006 @ 1:52 pm

    One more thought…when you say that you are saving for a house, is that with this money that you are talking about investing? Or is this separate?

    If this money that you are investing if for a downpayment on a house, that makes it a little more difficult since I don’t know when you will need that money. You can always get the money, you could just get hit with higher taxes if you take it out too soon and the other factor is that you don’t know what the price you sell at will be when you need to sell it.

    For instance, if you decide to buy a house in a year, the price of the index fund could be down at that point and you would be forced to sell it low.

  5. Bob Burns
    April 5th, 2006 @ 4:28 am

    Nicole, a couple quick thoughts:

    1. Make sure you have at least 3 to 6 months of your expenses saved in either a savings or short-term CD’s.

    2. If you’ll be looking to use this money any time inside of 3 years, I wouldn’t invest. The average peak-trough cycles in the market last roughly 3 years. If you invest now and we happen to be at the peak, your investment can decline and be worth less than your initial investment by the time you need it.

    3. If you have 3+ years I agree with rs, you are too young to be using I-bonds right now, after taxes and inflation your real rate of return (sorry if that’s getting technical) would net you about 2.5%.

    4. Vanguard offers several low cost options for funds, but you may want to consider exchange traded funds. They are usually the lowest cost option. I don’t know what E-trade’s market/limit orders cost, but at Scottrade you can start with $500.00 and a market or limit order is only $7.00.

    If you want some specific funds/ETF’s to look at send me an e-mail or give me a call.

    B. Burns

  6. Chad Smith, CFP®
    July 13th, 2006 @ 10:37 pm

    I know this is an old post, but along with RS’s advice if your time horizon is long enough Vanguard seems to be a good choice for individual investors. Diversification is an important part which you can take advantage of at Vanguard with the two funds he mentioned. It’s nice to have exposure all over the world.
    The only downside to using Vanguard is you’re stuck with passive investing styles or indexing. This is not terrible but if you open an account at a brokerage house you have a much wider selection of mutual funds which take a more active strategy that can yield higher returns with proper management selection. Costs will generally be higher but the added value of quality funds often offsets the costs. Another idea is to commit to a dollar cost averaging plan. I know at TD Ameritrade they will debit your checking account automatically every month in amounts as low as $50. The money will go straight into the money market account inside the brokerage account unless instructed otherwise to make systematic purchases of a mutual fund. This is how I started investing at age 22 when I had only small amounts to work with. I wish you luck.

  7. Anonymous
    July 19th, 2006 @ 11:02 pm

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    August 17th, 2006 @ 1:40 pm

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  9. Anonymous
    June 12th, 2007 @ 12:32 am

    Investing in one’s debt is a strategy. Pay off your high interest rate debt first, then work you way down.

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  10. Anonymous
    September 24th, 2007 @ 4:46 pm

    If your credit card uses different rates for purchases, transfers, and cash advances, realize that the card issuer may pay the lower interest rate balance first. Consequently, if you carry a balance, your high-rate cash advance may not be “paid” until all lower-rate balances are paid in full.
    Fixed-Rate credit cards are not fixed forever. Rates can be changed at any time, as long as the card issuer provides 15 days advance notice of the change in terms. Fees may also increase. These “Change in Terms” notices are usually included with your monthly statement.
    Your interest rate may dramatically increase if you make late payments. For example, some issuers will raise your interest rate to the maximum after one or two late payments. Consequently, your 12% credit card could quickly turn into a 25% credit card.
    Your credit card issuer may also raise your interest rate after conducting a routine credit report review. If your overall credit history has deteriorated, the issuer may raise your interest rate, even though you’ve never made a late payment on the card in question.
    The 25 day grace period only applies when you pay-off your entire balance due each month. If you only pay the minimum payment, interest is immediately accrued from the moment you charge something to your credit card. Some companies are also shortening the grace period to 20 days, and some cards have no grace periods.
    Ignore offers to reduce or skip payments. These options are frequently offered over the holidays. When you skip a payment, the loan continues to accrue interest; therefore, these offers simply increase the overall interest and finance charges that the creditor collects. On a similar note, beware of offers of no payment/no interest for a period of time. Furniture stores, jewelry stores, and electronics stores frequently offer these programs. For example, no payment/no interest for 12 months!! This can be a good offer, but once again, read the fine print. Make sure you know the details of the program. Generally, you need to pay off the entire balance before the end of the “free” period to receive the benefit. Otherwise, you will probably have to pay interest on the entire balance from the date of your purchase

  11. Anonymous
    October 14th, 2007 @ 5:44 am

    A payday loan is a short-term loan that you promise to pay back from your next pay cheque. A payday loan is sometimes also called a payday advance.

    Normally, you have to pay back a payday loan on or before your next payday (usually in two weeks or less). The amount you can borrow is usually limited to 30 percent of the net amount of your pay cheque. The net amount of your pay cheque is your total pay, after any deductions such as income taxes. For example, if your pay cheque is $1,000 net every two weeks, your payday loan could be for a maximum of $300 ($1,000 x 30%).

    Before giving you a payday loan, lenders will ask for proof that you have a regular income, a permanent address and an active bank account. Some payday lenders also require that you be over the age of 18.

    To make sure you pay back the loan, all payday lenders will ask you to provide a postdated cheque or to authorize a direct withdrawal from your bank account for the amount of the loan, plus all the different fees and interest charges that will be added to the original amount of the loan. The combination of multiple fees and interest charges are what make payday loans so expensive (Click here for an explanation of the various fees associated with these types of loans.

    The lender should also ask you to sign a loan agreement. If the lender does not offer to give you a copy of the loan agreement, ask for one. Read this document carefully before signing it, and keep a copy for your records

    How and when do I pay back the loan?
    A payday loan agreement usually says that you must pay the total amount you owe for the loan on or before the date stated in your loan agreement. This includes the amount you borrowed, plus interest and any additional fees and charges.

    Some lenders will cash your postdated cheque or process your direct withdrawal on the day the loan is due. However, some lenders may require that you pay the loan in cash, on or before the due date.

    If you have not paid the loan in cash by the due date, some lenders may cash your cheque or process the direct withdrawal you signed on the day after your loan’s due date, and charge you another fee. Ask the lender what the most inexpensive way is for you to repay your loan.

    How does a payday loan affect my credit report?
    Credit-reporting agencies collect information on whether or not you make your payments on time. This information, also called your “credit history”, is part of your credit report and is used to calculate your credit score.

    Making payments on time can help improve your credit score by demonstrating that you are able to manage your debt. Even if you have poor credit, you can rebuild it by using a credit card or other type of credit and paying back the money you owe on time.

    This is not the case with payday loans. Since payday lenders are not currently members of the main credit-reporting agencies, getting a payday loan and paying it off on time will not improve your credit score. However, if you do not pay your loan back on time and it is sent to a collection agency, this will likely be reported to a credit-reporting agency and could have a negative impact on your credit report.

    How much will a payday loan cost?
    A payday loan is much more expensive than most other types of loans offered by financial institutions such as banks or credit unions. Before you apply for a payday loan, find out about all the fees and charges you will have to pay — including the fees you will be charged if you cannot repay the loan on time. The fees may not be easy to see right away, so read the agreement carefully before signing it. If you do not receive an explanation of all of the fees, charges and interest that will apply to the loan, or if you are not satisfied with the explanation you receive, do not sign the loan agreement.

    How does the cost of a payday loan compare with other credit products?
    Payday loans are much more expensive than other types of loans, including credit cards. But how much are you really paying? How does the cost of a payday loan compare with taking a cash advance on a credit card, using overdraft protection on your bank account or borrowing on a line of credit?

    Let’s compare the cost of using different types of loans. We’ll assume that you borrow $300, for 14 days. Note the considerable difference in the cost of each type of loan.

    Things to consider before you apply for a payday loan
    Even if you think you may be turned down, ask your bank or credit union for overdraft protection on your bank account, or a line of credit. These are relatively inexpensive ways of obtaining access to extra funds, for short-term use.

    If you are turned down for any of these credit options, ask why. If the reason is that you have a poor credit history, contact the three credit-reporting agencies to get a copy of your credit report. Read the reports carefully to make sure that all of the information in it is correct. If you find any errors, contact the credit-reporting agency to find out how you can have the information corrected. The three major credit-reporting agencies in Canada are Equifax Canada, TransUnion Canada and Northern Credit Bureaus. All three of these agencies will give you a copy of your credit report for free if you request that it be sent to you by regular mail.

    Ask yourself if you really need to take out a loan, or whether you can get by until your next pay cheque. If you need the money immediately, try to make other arrangements. For example, you may be able to cash in vacation days. Or you might consider getting a short-term loan from a family member or a friend.

    If you find that you need to apply for a payday loan because you have no alternative, only borrow an amount that you are 100 percent sure you can repay on the due date of the loan.

    Don’t borrow more than you need.

    Things to consider if you take out a payday loan
    Don’t be afraid to ask a lot of questions. Read carefully — and take home with you — a copy of the loan agreement that you are being asked to sign. Don’t feel pressured to sign the loan agreement right away if you have questions and want more time to read through the agreement on your own. If the lender does not want to give you a copy of the agreement, look for another lender.

    Be sure to ask about all the fees, charges and interest that apply when you first get the loan, and what other charges you will owe if you can’t pay the loan back on time.

    If you are taking out a payday loan at another location to pay back the first payday loan, or you are extending or “rolling over” the loan that you had with the same lender, you could find yourself in serious financial difficulty. The fees, charges and interest will add up quickly on these types of loans, which can put you into serious debt.
    How can I figure out the cost of each type of loan?
    To estimate the total cost of a loan, including the annual cost of the loan expressed as a percentage of the amount borrowed, follow the steps below.

    Step 1:

    Determine how much interest you will pay. First, find out the annual interest rate that applies to the loan (if there is one). Figure out the daily interest rate by dividing the annual interest rate of the loan by 365 days. Then, multiply that rate by the length of time you are taking the loan. Finally, multiply the result by the amount you will borrow, in dollars:

    Amount of interest

    = Annual interest rate

    ——————————————————————————–
    365 days × Length of the loan
    (number of days) × Amount of the loan

    Step 2:

    Determine the total cost of the loan by adding any fees that may apply to the interest you will have to pay. Find out what fees apply to the loan and add them to the cost of the interest, found in Step 1:

    Total cost of the loan = Amount of interest + Total fees

    Step 3:

    Estimate the annual cost of the loan, expressed as a percentage of the amount borrowed. First, divide the total cost of the loan, found in Step 2, by the amount of the loan. Then, divide this rate by the length of time you are taking the loan (in days) and multiply it by 365 (the number of days in the year):

    Annual cost of the loan (%)

    = Cost of the loan

    ——————————————————————————–
    Amount of the loan ÷ Length of the loan
    (number of days) × 365 days

    Let’s find out the cost of a $300 payday loan, taken for 14 days.

    We’ll assume that the lender charges you a one-time set-up fee of $10 and a service fee of $40, which includes interest on the loan.

    Step 1:

    Determine how much interest you will pay. In this case, there is no interest fee. The interest is therefore $0.

    Step 2:

    Figure out the cost of the loan by adding together any fees that apply and the interest you will have to pay. In this case, you would add the $10 set-up fee and the $40 service fee together:

    $10 + $40 = $50

    Step 3:

    Estimate the total annual cost of the loan, expressed as a percentage of the amount borrowed:

    Annual cost of the loan (%)

    = Cost of the loan

    ——————————————————————————–
    Amount of the loan ÷ Length of the loan
    (number of days) × 365 days
    = $50
    ———— ÷ 14 days × 365 days
    $300
    = 4.35 or approximately 435%

    The total cost of the payday loan would be $50 with an annual cost of 435 percent of the amount borrowed.

    Information asymmetries are common in credit market models, but the usual assumption,

    at least in commercial lending, is that borrowers are the better informed party and that

    lenders have to screen and monitor to assess whether firms are creditworthy. The opposite

    asymmetry, as we assume here, does not seem implausible in the context of consumer lending.

    “Fringe” borrowers are less educated than mainstream borrowers (Caskey 2003), and many

    are first-time borrowers (or are rebounding from a failed first foray into credit). Lenders

    know from experience with large numbers of borrowers, whereas the borrower may only have

    their own experience to guide them. Credit can also be confusing; after marriage, mortgages

    are probably the most complicated contract most people ever enter. Given the subtleties

    involved with credit, and the supposed lack of sophistication of sub-prime borrowers, our

    assumption that lenders know better seems plausible.

    While lenders might deceive households about several variables that influence household

    loan demand, we focus on income. We suppose that lenders exaggerate household’s future

    income in order boost loan demand. Our borrowers are gullible, in the sense that they can

    be fooled about their future income, but they borrow rationally given their beliefs. Fooling

    borrowers is costly to lenders, where the costs could represent conscience, technological costs

    (of learning the pitch), or risk of prosecution. The upside to exaggerating borrowers’ income

    prospects is obvious—they borrow more. As long as the extra borrowing does not increase

    default risk too much, and as long as deceiving borrowers is easy enough, income deception

    and predatory—welfare reducing—lending may occur.

    After defining predatory lending, we test whether payday lending fits our definition. Payday

    lenders make small, short-term loans to mostly lower-middle income households. The

    business is booming, but critics condemn payday lending, especially the high fees and frequent

    loan rollovers, as predatory. Many states prohibit payday loans outright, or indirectly,

    via usury limits.

    To test whether payday lending qualifies as predatory, we compared debt and delinquency

    rates for households in states that allow payday lending to those in states that do not. We

    focus especially on differences across states households that, according to our model, seem

    more vulnerable to predation: households with more income uncertainly or less education.

    We use smoking as a third, more ambiguous, proxy for households with high, or perhaps

    hyperbolic, discount rates. In general, high discounters will pay higher future costs for a

    given, immediate, gain in welfare. Smokers’ seem to fit that description. What makes the

    smoking proxy ambiguous is that smokers may have hyperbolic, not just high, discount rates.

    Hyperbolic discount rates decline over time in a way that leads to procrastination and selfcontrol

    problems (Laibson 1997). The hyperbolic discounter postpones quitting smoking,

    or repaying credit. Without knowing whether smokers discount rates are merely high, or

    hyperbolic, we will not be able to say whether any extra debt for smokers in payday states

    is welfare reducing.2

    Given those proxies, we use a difference-in-difference approach to test whether payday

    lending fits our definition of predatory. First we look for differences in household debt

    and delinquency across payday states and non-payday states, then we test whether those

    difference are higher for potential prey. To ensure that any such differences are not merely

    state effects, we difference a third time across time by comparing whether those differences

    changed after the advent of payday lending circa 1995. That triple difference identifies any

    difference in debt and delinquency for potential prey in payday states after payday lending

    was introduced.

    Our findings seem mostly inconsistent with the hypothesis that payday lenders prey on,

    i.e., lower the welfare of, households with uncertain income or households with less education.

    Those types of households who happen to live in states that allow unlimited payday loans

    are less likely to report being turned down for credit, but are not more likely, by and large,

    to report higher debt levels, contrary to the overborrowing prediction of our model. Nor are

    such households more likely to have missed a debt payment in the previous year. On the

    contrary, households with uncertain income who live in states with unlimited payday loans

    are less likely to have missed a debt payment over the previous year. The latter result is

    consistent with claims by defenders of payday lending that some households borrow from

    2Consistent with a high discount rate, Munasinghe and Sicherman (2000) discover that smokers have

    flatter wage profiles and they are willing to trade more future earnings for a given increase in current earnings.

    Gruber and Mulainathan (2002) find that high cigarette taxes make smokers ”happier,” consistent with

    hypberbolic discount rates (because taxes help smokers commit to quitting). DellaVigna and Malmendier

    (2004) show how credit card lenders can manipulate hyperbolic discounters by front-loading benefits and

    back-loading costs.

    payday lenders to avoid missing payments on other debt. On the whole, our results seem

    consistent with the hypothesis that payday lending represents a legitimate increase in the

    supply of credit, not a contrived increase in credit demand.

    We find some interesting differences for smokers, but those differences are harder to

    interpret in relation to the predatory hypothesis without knowing apriori whether smokers

    are hyperbolic, or merely high, discounters.

    We also find, using a small set of data from different sources, that payday loan rates

    and fees decline significantly as the number of payday lenders and pawnshops increase.

    Reformers often advocate usury limits to lower payday loan fees but our evidence suggests

    that competition among payday lenders (and pawnshops) works to lower payday loan prices.

    Our paper has several cousins in the academic literature. Ausubel (1991) argues that

    credit card lenders exploit their superior information about household credit demand in their

    marketing and pricing of credit cards. The predators in our model profit from their information

    advantage as well. Our concept of income delusion or deception also has a behavioral

    flavor, as well, hence our use of smoking as a proxy for self-control problems. Brunnermeier

    and Parker (2004), for example, imagine that households choose what to expect about future

    income (or other outcomes). High hopes give households’ current “felicity,” even if it

    distorts borrowing and other income-dependent decisions. Our households have high hopes

    for income, and they make bad borrowing decisions, but we do not count the current felicity

    from high hopes as an offset to the welfare loss from overborrowing.

    Our costly falsification (of household income prospects) and costly verification (by counselors)

    resemble Townsend’s (1979) costly state verification and Lacker andWeinbergs’ (1989)

    costly state falsification. The main difference here is that the falsifying and verifying comes

    before income is realized, not after.

    More importantly, we hope our findings inform the current, very real-world debate,

    around predatory lending. The stakes in that debate are high: millions of lower income

    households borrow regularly from thousands of payday loan offices around the country. If

    payday lenders raise household welfare by relaxing credit constraints, anti-predatory legislation

    may lower it.

    Payday lenders make small, short-term loans to households. The typical loan is about $300

    for two weeks. The typical fee is $15 per $100 borrowed. Lenders require two recent pay

    stubs (as proof of employment), and a recent bank account statement. Borrowers secure

    the loan with a post-dated personal check for the loan amount plus fees. When the loan

    matures, lenders deposit the check.

    Payday lending evolved from check cashing much like bank lending evolved from deposit

    taking. For a fee, check cashiers turn personal paychecks into cash. After cashing several

    paychecks for the same customer, lending against f uture paychecks was a natural next step.

    High finance charges is the main criticism against payday lenders. The typical fee of $15

    per $100 per two weeks implies an annual interest rate of 15×365/14, or 390 percent. Payday

    lenders are also criticize for overlending, in the sense that borrowers often refinance their

    loans repeatedly, and for ”targeting” women making the transition from welfare-to-work

    (Fox and Mierzewski 2001) and soldiers (Graves and Peterson 2004).

    Despite their critics, payday lending has boomed. The number of payday advance offices

    grew from 0 in 1990 to 14, 000 in 2003 (Stegman and Harris 2003). The industry originated

    $8 to $14 billion in loans in 2000, implying 26-47 million individual loans. Rapid entry

    suggests the industry is profitable.

    Payday lenders present stiff competition for pawnshops, even though the internet, namely

    E-bay, significantly foreclosure costs for pawnshops (Caskey 2003). The number of pawn

    shops in the U.S. grew about six percent per year between 1986 and 1996, but growth

    essentially stalled from 1997 to 2003. Prices of shares in EZCorp, the largest, publicly

    traded pawn shop holder, were essentially flat or declining between 1994 and 2004, while

    Ace Cash Express share prices, a retail financial firm selling check cashing and payday loans,

    rose substantially over that period (Figure 4). EZCorp CEO, Joseph Rotunday, blamed

    payday lenders for pawnshops’ dismal performance:

    The company had been progressing very nicely until the late 1990s…. (when)

    a new product called payroll advance/payday loans came along and provided our

    customer base an alternative choice. Many of them elected the payday loan over

    the traditional pawn loan. (Quoted by Caskey (2003) p.14).

    Payday lending is heavily regulated (Table 1). As of 2001, eighteen states effectively

    prohibited payday loans via usury limits, and most other states prices, loan size, and loan

    frequency per customer (Fox and Mierzwinski 2001). Note that the payday loan limit ranges

    from 0 (where payday loans are illegal) to 1250. Nine states allow unlimited payday loans.

    Payday lenders have circumvented usury limits by affiliating with national or state

    chartered banks, but the Comptroller of the Currency—the overseer of nationally chartered

    banks–recently banned such affiliations. The Federal Deposit Insurance Corporation still

    permits payday lenders to affiliate with state banks, but recently restricted those partnerships

    (Graves and Peterson 2005).

    Regulatory risk—the threat of costly or disabling legislation in the future—looms large for

    Payday lenders. The Utah legislature is reconsidering its permissive laws governing payday

    lending. North Carolina recently drove payday lenders from the state by expressly outlawing

    the practice.

    Heavy regulation increases the cost of payday lending. High regulatory risk increases limits

    entry into the industry and increases the expected return required by industry investors.

    Driving up costs and driving away investors may be exactly what regulators intended if they

    view payday lending as predatory.
    We define predatory lending as a welfare reducing provision of credit. Households can be

    made worse off by borrowing if lenders can deceive households into borrowing more than is

    optimal. Excess borrowing reduces household welfare, and may increase default risk.

    We illustrate our concept of predatory lending in a standard model of household borrowing.

    Before we get to predatory lending, we review basic principles about welfare improving

    lending, the type that lets households maintain their consumption despite fluctuations in

    their income.

    The model has two periods: today (period zero) and payday (period one. Household income

    goes up and down periodically, but not randomly (for now): income equals zero today

    and y on payday. If households consume Ct in period t, their utility is U (Ct).Household welfare

    is the sum of utility over both periods: U (C0)+?U (C1), where ? equals the household’s

    time rate of discount. Households with high ? value current consumption highly relative to

    future consumption. In other words, high discounters are impatient.

    A digression here on discount rates serves later discussion. In classical economics ? is

    constant. If ? changes over time, so does household behavior, even if nothing else changes.

    If ?(t) is hyperbolic, households will postpone unpleasant tasks until current consumption

    does not seem so precious relative to future consumption (Laibson 1997). With hyperbolic

    discounting, that day never arrives, so hyperbolic discounters have behavioral problems: they

    procrastinate. They may never repay debt, much less begin saving. Hyperbolic discounters

    who start smoking may never quit.

    Returning to the model, if the marginal utility of consumption (U 0) is diminishing, households

    will demand credit to reduce fluctuations in their standard of living. Households

    without credit, however, must fend for themselves (autarky). Welfare under autarky equals

    U(0)+?U (y). The fluctuations in consumption for households without credit make autarky

    a possible worst case, and hence, a good benchmark for comparing cases with credit.

    If households borrow B at interest rate r, welfare equals U (B) + ?U (y ? (1 + r)B).

    Borrowing increases utility in period zero, when the proceeds are consumed, but lowers utility

    in period one, when households pay for their borrowing. Rational, informed households trade

    off the good and bad side of borrowing; they borrow until the marginal utility of consuming

    another unit today just equals the marginal, discounted disutility of repaying the extra debt

    on payday:

    U 0(B) = ?(1 + r)U 0(y ? (1 + r)B). (1)

    Equation (1) determines household loan demand as a function of their income, their

    discount rate, and the market interest rate: B(y, ?, r). For standard utility functions,

    household loan demand is increasing in income and decreasing in the discount factor and

    interest rate: By > 0; B? < 0; Br < 0. Household welfare with optimal borrowing equals

    U (B(y, r, d))+?U (y ? (1+r)B(y, r, ?)). As long as households follow (1), their welfare with

    positive borrowing must be higher than without (autarky).

    The welfare gain from borrowing depends on the cost of credit production. Suppose the

    cost of lending $B to a particular household equals (1 + ?)B + f, where ? represents the

    opportunity cost per unit loaned and f is the fixed cost per loan. Think of f as the cost

    of record-keeping and credit check required for each loan, however large or small the loan

    may be. If the going price for loans is (1+r) per unit borrowed, the lenders’ profits equal

    (r ? ?)B ? f.

    With perfect competition among lenders, the loan interest rate is competed down until

    it just covers the costs of the loan: r = ? + f /B. Equilibrium r and B are determined

    where that credit supply curve equals demand (1).

    Equilibrium in the payday credit market is illustrated in Figure (3). If fixed costs per loan

    are prohibitively high, the market may not exist. Perhaps the payday lending technology

    lowered the fixed cost per loan enough to make the business viable.3 Before the advent of

    payday lending, households who applied to banks for a very small, short-term loan may have

    been denied.

    Fixed costs per loan imply that smaller loans will cost more per dollar borrowed than

    larger loans. That means households with low credit demand will pay higher rates than

    households with high loan demand. Loan demand is increasing in income, so high income

    households who demand larger quantities of credit will enjoy a ”quantity” discount, while

    lower income households will pay a ”small lot” premium, or penalty. That price ”discrimination”

    is not invidious, however; the higher cost of smaller loans reflects the fixed costs of

    lending. The high price of payday loans may partly reflect the combination of fixed costs

    and small loan amounts (Flannery and Samolyk 2005).

    A usury limit lowers household welfare. Suppose the maximum legal interest rate is r.

    At that maximum rate, the minimum loan that lenders’ cost is f /(r? ?) = B. Low income

    households with loan demand less than B face a beggar’s choice: borrow B at r or do not

    borrow at all. Such households would be willing to pay more to to avoid going without

    credit, so raising the usury limit would raise welfare for those households.

    Competition is another key determinant of how much households gains from borrowing.

    3Alternatively, or additionaly, the demand for small, short term loans may have increased in the mid

    1990s. The welfare reform then almost certainly increased demand for such credit as households who once

    ”worked” at home for the government were forced to go to work in the market.

    Even with no competition — monopoly—households cannot be worse off than under autarky.

    The monopolist raises interest rates until the marginal revenue from higher rates equals the

    marginal cost from lower loan demand:

    B(y, r) = ?(r ? ?)Br(y, r). (2)

    At that monopoly interest rate, rm, household loan demand equals B(y, rm).Household welfare

    under monopoly equals U (Br(y, rm))+?U (y ?(1+rm)Br(y, rm)). Welfare is lower under

    monopoly because credit costs more and their standard of living fluctuates more (because

    costly credit reduces their demand for credit) If households borrow from the monopolist,

    however, they must better off than without credit.

    In sum, welfare for rational households is highest if credit is available at competitive

    prices. If households choose to borrow, they must be at least as well off as they were

    without credit. Limiting loan rates cannot raise household welfare and may reduce it.

    Monopoly lenders lower household welfare, but even with a monopolist, households cannot

    be worse off than without credit.

    The high cost of payday lending may partly reflect fixed costs per loan. Before payday

    lending, those fixed costs may have been prohibitive; very small, short-term loans may not

    have been worthwhile for banks. The payday lending technology may have lowered those

    fixed costs, thus increasing the supply of credit to low income households demanding small

    loans. That version of the genesis of payday lending suggests the innovation was welfare

    improving, not predatory.

    In the textbook model household welfare cannot be lower than under autarky because households

    are fully informed and rational. Here we show households how can be made worse off

    than without credit if predatory lenders can delude households about their (households’)

    future income.

    Suppose that by spending C(? ), lenders can convince a prospective borrower that her

    income on payday will be y +?. The cost C can be interpreted variously as the cost of a guilty

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