Implicit Discount Rates and the Purchase of Untried, Energy-Saving Durable Goods DOUGLAS A. HOUSTON* Many consumers appear to rationally calculate the net worth of a household investment, but a substantial minority may lack the skills or alertness to perceive an investment opportunity and initiate analysis. Intentions to engage in complementary activities play an important role in the investment decision. W are considered to be related to particular aspects of expected costs. Other explanatory variables considered are: household i n c o m e , n u m b e r of individuals in the family, housing type, h o u s i n g a g e , and h o u s e h o l d square footage. At another level, persistent errors in j u d g m e n t may be a significant factor in the b e h a v i o r of m a n y potential investors, as H a u s m a n s u g g e s t s — t h a t is, a clear perception of investment opportunity m a y b e lacking in s o m e respondents (Kirzner 1973). T h e s e h o u s e h o l d s m a y , m o r e frequently than others, refuse to c o n s i d e r i n v e s t m e n t s , in spite of the size of t h e r e t u r n . A s e c o n d p u r p o s e of the study is to a n a l y z e t h e d i f f e r e n c e s in c h a r a c t e r i s t i c s b e t w e e n unresponsive h o u s e h o l d s and t h o s e that perceived more clearly an opportunity to invest. T h e e m p i r i c a l i n v e s t i g a t i o n is b a s e d o n data acquired from a m a i l s u r v e y of a p p r o x i m a t e l y 3 , 0 0 0 households. Data w e r e obtained on various aspects of energy use and a n u m b e r of d e m o g r a p h i c characteristics of the households. Households also r e s p o n d e d to a hypothetical question of the necessary annual cost savings required to cause them to purchase an e n e r g y - s a v i n g durable good with unspecified characteristics. Initial p u r c h a s e and installation price for the long-lived d e v i c e w e r e given to the r e s p o n d e n t s . By use of qualitative c h o i c e m o d e l s , w e examined (1) the relationship b e t w e e n a set of e x p l a n a t o r y v a r i a b l e s a n d the minimal a c c e p t a b l e r e t u r n o n t h e i n v e s t m e n t , a n d (2) the factors which influence a r e s p o n d e n t to avoid considering an investment p r o p o s a l , regardless of potential return. A n u m b e r of caveats are in order. First, for the purpose of this p a p e r , w e f o l l o w B e c k e r ' s ( 1 9 6 5 ) model of the household as a single e c o n o m i c unit with shared consumption and p r o d u c t i o n . W h i l e criticisms of the " n e w home e c o n o m i c s " a b o u n d (Ferber and Birnbaum 1977; Lancaster 1975; Willis 1973), this p a p e r focuses on the issue of the investment decision of the h o u s e h o l d as a singular decisionm a k i n g unit. T o the extent that a household utility function is inappropriate, the results of this paper should be tempered by j u d g m e n t . S e c o n d , the study does not contain all economic and d e m o g r a p h i c variables likely t o affect the investment decision, and does not contain psychological information about r e s p o n d e n t s . F o r these reasons, as well as hy d o s o m e consumers require 50 percent or greater returns on h o u s e h o l d i n v e s t m e n t s ? W h y d o other consumers reject investments yielding 50 percent or greater returns? Based on empirical analyses of consumer investm e n t s in e n e r g y - u s i n g d u r a b l e g o o d s , s o m e e c o n o m i s t s have argued that consumers b e c o m e confused and hesitant when monetary paybacks stretch over many years; they m a y b e unable to choose rationally among investment options. Gately (1980) found that extremely high discount rates were applied by consumers in the purchase of an energy-using durable. Hausman (1979) estimated that very high implicit d i s c o u n t rates w e r e u s e d by l o w e r i n c o m e c o n s u m e r s . H a u s m a n argued that lower i n c o m e consumers were less educated and may have suffered (relative to m o r e educated individuals) from a defective 'telescopic f a c i l i t y " — a n inability to measure correctly the net worth of investments in durables. The purpose of this paper is to examine the factors which influence a household's investment in an untried, energysaving d u r a b l e g o o d . At o n e l e v e l , w e s e e k t o test the h y p o t h e s i s that a h o u s e h o l d i n v e s t m e n t d e c i s i o n is rational—that is, based upon an analysis of expected costs and returns for an entire investment p r o g r a m . It would be proper in a rational investment analysis to include all expected, user-borne costs of initial planning, p u r c h a s e , u s e , and resale or disposal. These costs (hereafter termed prog r a m costs) are frequently ignored in empirical analyses, but if program costs vary substantially across the investing household population, we should observe systematic, p o s itive variations between individual discount rates and these additional costs. Higher discount rates would reduce the likelihood of investment. B e c a u s e program costs are not directly observable, proxies are used in this study. For exa m p l e , an i n d e x of prior e x p e r i e n c e with e n e r g y - s a v i n g activities and an index of intentions to engage in energysaving activities are employed in regression analysis; both 4 *Douglas A. Houston is Assistant Professor of Business Economics, School of Business, University of Kansas, Lawrence, KS 66045. He thanks Bruce Jaffee for helpful comments on previous drafts of this paper. 236 © JOURNAL OF CONSUMER RESEARCH • V o l . 10 • September 1983 PURCHASE OF ENERGY-SAVING GOODS the possibility of s o m e n o n r a t i o n a l b e h a v i o r , there is c o n s i d e r a b l e unexplained v a r i a n c e in the e s t i m a t i o n s . T h i r d , the investment p r o p o s a l is h y p o t h e t i c a l , so w e cannot be confident that r e s p o n s e s w o u l d b e identical for an actual i n v e s t m e n t . Last, t h e p a p e r d o e s not attempt to explain the c o m p l e x decision p r o c e s s b y w h i c h the i n v e s t m e n t is anal y z e d . Therefore, w e c a n n o t d e t e r m i n e h o w t h e investment d e c i s i o n is r e a c h e d , but c a n o n l y p r o v i d e s o m e e v i d e n c e a b o u t the e c o n o m i c rationality of that decision p r o c e s s . T H E INVESTMENT DECISION MODEL Framework of the Problem T h e respondents in o u r s t u d y c o n s i d e r e d the following question: 1 I f an energy-saving device, with a very long useful life, could b e purchased and installed in your home for $ 1 0 0 , approximately how much would you have to save in energy costs e a c h year before you would install the device? R e s p o n d e n t s w e r e g i v e n s e v e n r e s p o n s e options: (1) less t h a n $ 1 0 per year; (2) $ 1 0 - $ 2 0 p e r year; (3) $ 2 1 - $ 3 0 per y e a r ; ( 4 ) $ 3 1 - $ 4 0 p e r year; (5) $ 4 1 - $ 5 0 per year; (6) m o r e t h a n $ 5 0 per year; a n d (7) d o n ' t k n o w or u n c e r t a i n . F a c e d with s u c h a c o s t - s a v i n g i n v e s t m e n t c h o i c e , m a n y c o n s u m e r s were u n c l e a r a b o u t h o w to p r o c e e d . Q u i t e likely, s i m p l e rules of t h u m b w e r e a p p l i e d to the p r o b l e m . In sel e c t i n g a particular return (or c h o o s i n g not to r e s p o n d ) , the d e c i s i o n , to be r a t i o n a l , m u s t i n c o r p o r a t e information about e x p e c t e d costs a n d r e t u r n s . In t e x t b o o k e x a m p l e s of inv e s t m e n t analysis, t h e c o s t s , r e t u r n s , and d e g r e e of uncert a i n t y a r e generally treated as a m a n a g e a b l e , m a t h e m a t i c a l e x e r c i s e . On the s u r f a c e , the q u e s t i o n p o s e d about the ene r g y - s a v i n g device m a y a p p e a r to b e easily a p p r o a c h e d b y a m a t h e m a t i c a l , cost-benefit, p r e s e n t - v a l u e a n a l y s i s . G i v e n that f r a m e w o r k , t h e c h o i c e v a r i a b l e then is the net implicit d i s c o u n t rate. W e h y p o t h e s i z e that the i n f o r m a t i o n p r o v i d e d to the c o n s u m e r i n the i n v e s t m e n t q u e s t i o n is insufficient to allow a c o m p l e t e analysis, e v e n t h o u g h t h e question clearly states a n n u a l i z e d cost s a v i n g s . F i r s t , e a c h c o n s u m e r , p r i o r t o c o m m i t t i n g to an i n v e s t m e n t , h a s an u n d e r s t a n d i n g of his or h e r skillfulness a n d k n o w l e d g e in u n d e r t a k i n g the inv e s t m e n t p r o g r a m . T h e u s e r - b o r n e p r o g r a m c o s t s — c o s t of a n a l y s i s , cost of h o u s e h o l d l a b o r in i m p l e m e n t a t i o n , and c o s t s a s s o c i a t e d with r e s a l e o r d i s p o s a l — s h o u l d be conside r e d b y t h e rational i n v e s t o r ; t h e s e p r o g r a m costs will, in g e n e r a l , vary a m o n g h o u s e h o l d s . S e c o n d , the d e v i c e ' s p o t e n t i a l c o m p l e m e n t a r i t y (or substitutability) with existing h o u s e h o l d energy s t o c k s m a y alter the value of the device and t h e c h o s e n d i s c o u n t r a t e . T h e s e factors w o u l d b e estim a t e d b y the r a t i o n a l i n v e s t o r a n d i n c l u d e d in t h e c o s t benefit analysis. F o r t h e e n e r g y - s a v i n g i n v e s t m e n t proposal investigated ' R e s p o n d e n t s are individual households in southern and central Indiana. The d e t a i l s of the data collection method, selection of respondents, and c h a r a c t e r i s t i c s of the sample are presented later in the paper. 237 in this p a p e r , the various expected costs and values through t i m e (both m o n e t a r y and nonpecuniary) can be summarized in the c h o i c e by the c o n s u m e r of a minimally acceptable a n n u a l i z e d m o n e t a r y cost savings. That choice implies the e x i s t e n c e of a gross discount rate (GDR) used in the decision. T h e t e r m " g r o s s " is employed to emphasize that the return selected b y respondents m a y be based on a n u m b e r of additional p r o g r a m costs and savings beyond those stated o n the q u e s t i o n n a i r e . Interpretation of the Response to the Investment Question B e c a u s e the hypothetical investment question resulted in n o a c t u a l c o s t s o r r e w a r d to the r e s p o n d e n t , a p o t e n t i a l p r o b l e m arises in interpretation of the gross discount rate r e s p o n s e s . A r e w e e x a m i n i n g the decision that w o u l d be m a d e in real life? A j u d g m e n t is necessarily speculative. W h i l e t h e study could have been performed for actual rather than hypothetical investment behavior, there are two major p r o b l e m s with the former approach. First, the m o d e l dev e l o p e d in this p a p e r requires detailed information about h o u s e h o l d s that rarely can b e obtained for households that h a v e all c o n s i d e r e d the s a m e investment. Second, it is the e x p e c t e d cost savings that are important to the investment decision rather than realized savings. T h e study uses the hypothetical question to achieve the notion of expected cond i t i o n s , b u t it m a y n o t b e fully r e p r e s e n t a t i v e of a c t u a l i n v e s t m e n t behavior, since n o monetary penalty or r e w a r d results from the decision. T h e r e is e v i d e n c e that m a n y respondents answered carefully. At the end of the completed survey, in space provided for c o m m e n t s , m a n y individuals indicated their concerns a b o u t t h e s u r v e y i n v e s t m e n t q u e s t i o n . S o m e a d d e d ass u m p t i o n s , such as the high probability that their household c o u l d n o t a c h i e v e the stated s a v i n g s d u e to current low energy u s a g e . M a n y expressed skepticism that any energy device truly achieves its stated cost savings after all cost factors are c o n s i d e r e d . Such comments suggest that m a n y r e s p o n d e n t s did not take the explicit cost-saving statement as the c o m p l e t e picture. Instead, they m a y have modified their i n v e s t m e n t analysis according to individual p e r c e p tions of o t h e r expected p r o g r a m costs and savings. A few c o n s u m e r s seemed to believe that the investment w o u l d in s o m e w a y lead to loss of a currently useful househ o l d d u r a b l e — i . e . , that t h e e n e r g y - s a v i n g d e v i c e w a s a r e p l a c e m e n t rather than an add-on item. Such an interpretation w a s not intended by the survey team. Under replacem e n t c o n d i t i o n s , a rational investor would reduce the net present value obtained from the new investment by the rem a i n i n g present value of returns from the existing durable to b e r e p l a c e d , less any s c r a p v a l u e . T o the extent that 2 Skepticism about payoffs from household energy investments may be a reasonable response, if prior information tended to be overly optimistic about expected savings. For example, the effect of installing ceiling insulation on energy usage has tended to be overestimated by both marketers and government agencies. See Consumer Reports (1978). THE JOURNAL OF CONSUMER RESEARCH 238 respondents interpreted the investment as a r e p l a c e m e n t rather than as a new durable, the required return on investment and the observed implicit discount rate were increased. Some respondents indicated confusion about h o w to proceed in determining the " a p p r o p r i a t e " response. Others indicated that insufficient information was provided to allow an answer they could support. These and other respondents who offered no explanation of how they answered may have been perplexed by the question. Confusing conditions are generally present (often in much greater degree) in a consumer's purchase decision about any untried durable good. Clearly, more precise and e x t e n s i v e information would have made the task easier, but it also would have altered an important, interesting aspect of the investment problem. Many consumers, facing an unusual investment proposal, may lack the alertness to conceptualize clearly the costs and benefits. These confused respondents affect our analysis in two ways. First, many individuals (approximately one-third of the sample) responded to the investment proposal with " d o n ' t know or u n c e r t a i n . " Second, the nonrational selection of positive returns by confused individuals is reflected in the weakening of the economic model of implicit discount rate, reducing its explanatory power. A flow chart of the decision process is s h o w n in the Figure. We expect respondents who have the alertness and analytic ability to select a positive savings n e c e s s a r y to induce investment. In general, these individuals rationally augment the questionnaire's statement of costs and savings with other user-borne program costs prior to deciding on a necessary return. Although it is possible for a rational individual to select a " d o n ' t know or u n c e r t a i n " response, the ability to select the highest return (open-ended upward) should provide an appropriate response for individuals w h o are highly uncertain about costs or expect to bear high program costs. The response of " d o n ' t k n o w or u n c e r t a i n " is generally nonrational. Many individuals selecting it lack a decision rule (rule of thumb) to guide t h e m in comprehending the data. Unfortunately, some of these individuals may simply randomly select a positive return, thus weakening the linkage of explanatory factors to the discount rate in estimation. W e treated the two groups (positive response or " d o n ' t k n o w " response) separately in empirical analyses. T h o s e answering with a positive savings r e q u i r e m e n t w e r e e x amined in a tobit regression model of t h e d i s c o u n t r a t e level. " D o n ' t know or uncertain" answers were examined in a probit regression of the choice b e t w e e n the " d o n ' t k n o w " versus a positive return response. 3 Some "don't know or uncertain*' responses, however, can be economically rational. If a respondent expects that the cost of trying to understand the question sufficiently well to answer thoughtfully is greater than the value of that effort, he may rationally choose a "don't know or uncertain" answer. Yet many who would fit into this category may have applied a similar logic to the entire questionnaire and are therefore nonrespondents. 3 DATA SOURCE All information used in the estimations was taken from a m a i l s u r v e y of i n d i v i d u a l h o u s e h o l d s . Approximately 3 , 0 0 0 residential households serviced by 18 rural electric m e m b e r s h i p cooperatives ( R E M C s ) in southern and central I n d i a n a were surveyed. T h e s a m p l e was selected from the r e c o r d s of t h e c o o p e r a t i v e s by a r a n d o m sampling techn i q u e . T o focus upon residential customers having similar o p p o r t u n i t i e s to a p p l y an e n e r g y - s a v i n g device to their h o u s e h o l d operations, those households that were engaged in farming, that did not o w n their dwelling, or that lived in the unit for only part of the y e a r were eliminated from t h e analysis. C e n s u s data for h o u s i n g , population, and inc o m e were used to c o m p a r e the respondents with the regional population. T h e respondents were found to be representative. T h e questionnaire included 35 items related to various aspects of energy c o n s u m p t i o n in the home, appliance o w n ership and u s e , measures of past a n d intended energy conservation m e a s u r e s , selected demographic characteristics of t h e household, and an energy-saving investment proposal. T h e questionnaire was mailed in the summer of 1979 and w a s returned, fully c o m p l e t e d , b y 8 3 percent of the households. T h e high response rate was obtained without followup contact after the initial mailing. Individual users own the cooperatives and therefore may h a v e felt a commitment to r e s p o n d to the survey. Prior to t h e mailing of the survey, t h e g e n e r a l m a n a g e r of e a c h c o o p e r a t i v e sent a letter to e a c h selected household in his or h e r cooperative requesting assistance and stressing the importance of the survey to the cooperative. Enclosed with each mailed survey was a dollar bill that the recipient was told to k e e p , regardless of whether the 35-question survey w a s c o m p l e t e d . At a minimum, the dollar bill m a y h a v e p r o m p t e d a fairly quick response. Interestingly, m a n y people w h o did not complete the questionnaire returned the dollar bill. Restricting the study to h o u s e h o l d s occupied for the full y e a r and h o u s e h o l d s without significant farm-related opera t i o n s r e d u c e d t h e n u m b e r of o b s e r v a t i o n s to 1,081. Of t h e s e , 7 2 5 r e s p o n d e d to t h e i n v e s t m e n t question with a positive return and 356 a n s w e r e d " d o n ' t know or uncertain." T h e r e are clearly s o m e p r o b l e m s of measurement with respect to h o u s e h o l d square footage, annual income, and the listing of past and intended conservation efforts. For e x a m p l e , individuals usually h a v e an imprecise notion of the heated square footage in their homes. These problems are largely a shortcoming of the survey form of information gathering. THE EMPIRICAL STUDY Tobit Regression Analysis B a s e d on p o s i t i v e s a v i n g r e s p o n s e s to the investment question, a gross implicit d i s c o u n t rate (GDR) was calcu- PURCHASE OF ENERGY-SAVING GOODS 239 FIGURE THE INVESTMENT PROBLEM THE JOURNAL OF CONSUMER RESEARCH 240 lated for e a c h respondent. T h e discount rates are directly calculated o n the assumption that the returns per year are p e r p e t u a l . T h e perpetual rates are 0 , 10, 2 0 , 30, 4 0 , and 5 0 percent for m e a n annual cost saving responses of $ 0 , $ 1 0 , $ 2 0 , $ 3 0 , $ 4 0 , and $ 5 0 , respectively. T h e multivariate regression m o d e l , GDR = XB, where X is a matrix of explanatory variable observations and B is the vector of coefficients, can b e estimated by O L S . H o w ever, O L S will yield biased estimators if there are m a n y observations clustered at the limiting value of the dependent variable (a response of 50 percent). This information can b e applied t o the estimation of the discount r a t e . A tobit m o d e l is useful in dealing with such a truncated, dependent variable in multivariate regression analysis (Tobin 1958). T o b i t is a h y b r i d of probit and m u l t i p l e r e g r e s s i o n . It yields answers to t w o questions in this study: (1) the probability of a participant responding that the stated payoffs were sufficient to warrant investment, and (2) the necessary discount rate to entice investment. In using this procedure, an i n d e x , /., is estimated which is linearly dependent upon a set of i n d e p e n d e n t v a r i a b l e s . I = XA, w h e r e / is u n b o u n d e d and A is a vector of normalized coefficients. Each observation of the dependent variable, GDR , is a function of the same explanatory variable set, X, through the / variable and a critical value of the index, / * . If the upper b o u n d , / * , is greater than /,., then GDR is the difference between /, and the critical / * . T h e probability that GDR is less than the limit can be e x a m i n e d for any observation b y using the standard normal cumulative distribution to transform /, into probabilities. T h e normalized coefficients in the m o d e l then can be transf o r m e d to r e g r e s s i o n coefficients b y m u l t i p l y i n g b y the standard error of estimate. Hypothesis testing can be performed using the asymptotic standard errors or likelihood ratio tests. T h o s e households that answered " d o n ' t k n o w or uncert a i n " ( a p p r o x i m a t e l y o n e - t h i r d of t h e s a m p l e ) w e r e e x cluded from the analysis of the discount rate level. Because the investment question allowed any level of positive savings to be indicated through a r e s p o n s e of " $ 5 0 or m o r e , " the failure to m a k e a positive response m a y indicate that the " d o n ' t k n o w or u n c e r t a i n " respondents were unable to formulate the problem sufficiently well to perceive an opp o r t u n i t y . T h u s c o s t s a v i n g s on t h e i n v e s t m e n t m a y be meaningless to t h e m . Using a probit m o d e l , we e x a m i n e d the factors that affect the probability of a " d o n ' t k n o w " response. 4 The Empirical Model of the Discount Rate T h e c o n s u m e r ' s choice of a m i n i m u m return on investm e n t is e m p i r i c a l l y e x a m i n e d w i t h a d i s a g g r e g a t e tobit model: GDR Choosing a different investment life will slightly alter the discount rates, but the estimated coefficients do not appear sensitive. When a 20year life is used, very few differences emerge in regression results. Regardless of the regression model used, the results are robust, providing similar regression coefficient values and levels of statistical significance for the explanatory variables. Another regression model that could be used, in lieu of tobit, is an extension of the dichotomous probit model which allows a categorical, discontinuous variable (see McKelvey and Zavoina 1975). 4 5 + B EXP EXP INT INC HSF NUM DTY DAG + X BJNT + B INC + B HSF + B DTY + 6 where: GDR t t 0 3 5 t = B 4 + + B NUM 5 (1) B DAG n = the gross, implicit discount rate, implicitly selected by the r e s p o n d e n t t h r o u g h his or h e r choice of a m i n i m u m annual savings from the investment - a variable of major h o u s e h o l d energy conservation measures performed within the last 2 4 m o n t h s ; 11 options w e r e equally weighted in a n index (see A p p e n d i x for details) = a variable of stated intentions to invest in e n e r g y c o n s e r v i n g m e a s u r e s in the coming 12 m o n t h s ; 11 options w e r e equally weighted in a n index (see A p p e n d i x for details) = annual i n c o m e for the household = heated square footage of the household = n u m b e r of i n d i v i d u a l s l i v i n g full-time in t h e household = d u m m y variable for h o u s i n g type (1 = mobile h o m e ; 0 = conventional) = d u m m y variable for housing construction d a t e (1 = p r e - 1 9 7 4 ; 0 = 1974 or newer) In estimating Equation 1, w e seek to explain the relationship between the level of the discount rate for the inv e s t m e n t and a set of e x p l a n a t o r y e c o n o m i c and d e m o g r a p h i c v a r i a b l e s . T h e e x p e c t e d s i g n s of t h e r e g r e s s i o n coefficients are displayed above the variables in the equation. Testable Hypotheses T h e tobit model of the gross discount rate level (Equation 1) provides the basis for a n u m b e r of testable hypotheses. In general, to be consistent with e c o n o m i c a l l y rational b e havior, the model should support a positive relationship b e t w e e n higher expected p r o g r a m costs to the investor a n d the required return on investment (indicated by GDR). A s d i s c u s s e d , m a n y e x p e c t e d u s e r - b o r n e c o s t s m a y be e x cluded from the explicit statements of costs and savings in the mail survey. Factors indicating higher p r o g r a m costs to a c o n s u m e r (compared to others in the sample) should p u s h u p the individual's discount r a t e . C o n v e r s e l y , factors indicating reduced relative e x p e c t e d p r o g r a m costs should reduce the discount rate necessary to make the investment w o r t h w h i l e . T h e v a r i a b l e s i n c l u d e d in E q u a t i o n 1 a r e briefly discussed in w h a t follows. PURCHASE OF ENERGY-SAVING GOODS 241 1. Greater experience (EXP) and more planned actions for saving energy (INT) should negatively affect the discount rate (GDR). Tversky and K a h n e m a n (1973) and Kahneman and T v e r s k y (1972) h a v e s h o w n that as events become harder for an individual to picture, s/he will consider the events less likely to occur. T h u s , past experience with investment a n a l y s i s for similar types of durables or the present, o n g o i n g consideration of similar investments should m a k e a c o n s u m e r m o r e willing to engage in analysis. Prior e x p e r i e n c e w i t h similar investments m a y alter perception of investing skills. F o r an investment in a technology with m a n y u n c l e a r or unstated attributes, a c o n s u m e r ' s d e p e n d e n c e on p r i o r e x p e r i e n c e w i t h i n v e s t m e n t g o o d s sharing similar g e n e r a l characteristics is hypothesized to r e d u c e the e x p e c t e d c o s t from i m p l e m e n t a t i o n of an investment p r o g r a m . F o r e x a m p l e , the recent purchase and installation of insulation or a heating unit may increase a c o n s u m e r ' s confidence that s/he can easily incorporate more i m p r o v e m e n t s into the h o u s e h o l d . (1979) o b s e r v e s , as i n c o m e and marginal tax rate rise, s o m e added s a v i n g s a c c r u e to the investor in c o n s u m e r d u r a b l e s , r e d u c i n g t h e n e e d e d return. T h e first t w o effects (suggesting a negative i n c o m e - t o GDR r e l a t i o n s h i p ) m a y b e countered by the incentive for higher i n c o m e families t o increase w o r k outside the h o m e ; this s t a t e m e n t p r e s u m e s that a higher income level is indicative of increased labor earning power. Substitution a w a y from h o u s e h o l d production activities w h e n real w a g e s rise has b e e n o b s e r v e d , a m o n g others, by M e n e f e e (1982). T h e r e s p o n d e n t s ' p e r c e p t i o n s of the complementarity of labor input t o the o p e r a t i o n of the device is u n k n o w n . If, in fact, the capital services from the investment are perceived as substitutes for l a b o r , then additional implicit cost saving w o u l d o c c u r , and the gross implicit discount rate w o u l d be affected n e g a t i v e l y . A l t h o u g h there may b e s o m e varying directions of influence, the overall effect of i n c o m e on the discount r a t e is p r e d i c t e d to b e negative. Where intentions to e n g a g e in p l a n n e d energy-saving activities are s t r o n g , there m a y be expected cost savings ass o c i a t e d w i t h i m p l e m e n t i n g a n d m a n a g i n g a n u m b e r of complementary i n v e s t m e n t s . With many similar investm e n t s e x p e c t e d , a c o n s u m e r is likely to view the costs of adding another as l o w ; an investment in learning h o w to u s e such durables h a s already b e e n " s u n k . " T h e intention variable also m a y b e positively correlated with c o n s u m e r attitudes favoring c o n s e r v a t i o n as a desired end in itself. If s o , a c o n s u m e r r e s p o n d i n g with high n u m b e r s for the INT v a r i a b l e w o u l d r e q u i r e a s m a l l e r m o n e t a r y p a y b a c k . It should be e m p h a s i z e d , h o w e v e r , that the intentions variable is not an attempt to directly m e a s u r e attitudes. B e c a u s e t h e t w o v a r i a b l e s , EXP a n d INT, are indices formed as equally w e i g h t e d s u m m a t i o n s of 11 different possible conservation a c t i o n s , the reliability of both indices should be e x a m i n e d . A n internal consistency p r o c e d u r e , the C r o n b a c h alpha coefficient, w a s e m p l o y e d to e x a m i n e reliability. T h e coefficients for EXP and INT were 0 . 6 5 and 0 . 6 8 , respectively. W h i l e there is no statistical test for acc e p t a n c e or rejection of the v a l u e , alpha values of this size g i v e some d e g r e e of confidence that the indices are reliable (Nunnally 1978, p p . 2 2 9 - 2 3 0 ) . 3. Greater household size, measured in square footage of heated dwelling space (HSF), should negatively affect the discount rate. For household square footage to directly r e d u c e GDR, the respondent must expect cost savings (beyond the direct functioning of the device) from a larger h o u s e h o l d . H o u s e h o l d size, for e x a m p l e , may b e positively correlated w i t h h e a t i n g and cooling system stocks and other e n e r g y - u s i n g c a p i t a l . If a respondent expects scale econo m i e s with respect to the energy-using household capital, then additional s a v i n g s m a y be anticipated b e y o n d those stated for t h e d e v i c e . H o w e v e r , h o u s e h o l d size m a y be positively correlated with w e a l t h . If greater wealth reduces the overall savings rate of c o n s u m e r s (see Ferber 1973), the HSF variable m a y be a c t i n g , in p a r t , t o r e d u c e i n v e s t m e n t s in a h o u s e h o l d durable. O t h e r lines of causality could be presented. A spurious c a u s e of a p o s i t i v e r e l a t i o n s h i p b e t w e e n HSF and GDR is d u e to the correlation of HSF with i n c o m e . T h e s i m p l e c o r r e l a t i o n b e t w e e n t h e t w o v a r i a b l e s is -f-0.46. Therefore, i n c o m e a n d household square footage effects m a y best be interpreted jointly. A d d i t i o n a l d u m m y v a r i a b l e s for m o b i l e h o m e v e r s u s conventional h o m e (DTY) and for older (pre-1974) h o m e s (DAG) w e r e i n c l u d e d in the empirical model to control for variability d u e t o structural differences in dwellings. 2 . Higher household income (INC) should negatively affect the discount rate. T h e r e are several effects of inc o m e upon the d i s c o u n t rate level. First, i n c o m e m a y be positively correlated with educational level. Individuals w i t h more e d u c a t i o n m a y b e m o r e capable of understanding t h e investment p r o p o s a l than those with less education. If l o w - i n c o m e families r e c o g n i z e a high probability of their m a k i n g large e r r o r s , t h e n they rationally choose high rates o f return to c o m p e n s a t e for the r i s k . S e c o n d , as H a u s m a n 6 Lower income families also may tend to ignore the investment and respond ''don't know or uncertain." These responses are not included in the analysis of positive discount rates; they are examined in a following section. 6 4 . As the number of household members (NUM) increases, the required discount rate should increase. There are two influences t o consider. First, as the n u m b e r of individuals u n d e r o n e roof increases, the i n c o m e available to each falls. T h e r e is considerable evidence that lower p e r capita i n c o m e leads to a decrease in the short-run savingsto-consumption ratio (Ferber 1973). A s s u m i n g the average household m e m b e r ' s well-being is considered in spending decisions, as i n c o m e falls, an increase in the required discount rate on any g i v e n investment is expected. T h e s e c o n d influence concerns the complementarity or substitutability of h o u s e h o l d labor for the capital services THE JOURNAL OF CONSUMER RESEARCH 242 of t h e p r o p o s e d investment. Labor complementarity suggests a d o w n w a r d revision in the stated cost savings from the d e v i c e . H o w e v e r , if the new capital is expected to be a substitute for s o m e household labor, then the cost savings m a y b e e n h a n c e d . T h e true relationship is not clear. Another p r o b l e m of inferring expected labor cost for the n u m ber of individuals in the household is the u n k n o w n quality of t h e l a b o r . F o r e x a m p l e , small c h i l d r e n m a y b e u n a c ceptable " w o r k e r s . " On balance, the per capita income effect is expected to b e larger than any effects of labor in household production, and the expected sign of NUM is positive. T o s u m m a r i z e , the expected effects of explanatory variables upon the h o u s e h o l d ' s selection of a discount rate are: TABLE 1 RESULTS OF TOBIT ANALYSIS Normalized coefficient Variable name Housing type (DTY) Housing age (DAG) Number (NUM) Experience (EXP) Income (INC) Intentions (INT) Home size (HSF) Constant R C 2 d T-ratio 0.20427 1.56 -0.24192 -2.92 0.07601 2.65 -0.00841 -0.42 -0.00001 -0.98 2.66 -0.08133 3.47 -0.00019 1.6242 10.29 .0563 3 Regression coefficient 3.8824 -4.5981' 1.4447' -0.1559 -0.0001 -1.5459' -0.0037' 30.870' Elasticity b e + .197 -.059 -.227 Given nonlimit observation; upper limit response = 50 percent. Dependent variable = gross, implicit discount rate. Elasticities calculated at mean values (percentage change in size of discount rate for small percentage change in explanatory variable, given nonlimit observation). Dummy variable for housing type (1 = mobile home; 0 = conventional). Dummy variable for housing age (1 = pre-1974; 0 = 1974 or newer). Significant for 1 (statistical tests are based on asymptotic properties of normalized coefficients). 'Significant for 1 . a • Greater income or greater household square footage is expected to reduce an individual household's discount rate. Because of collinearity between these two explanatory variables, individual effects on GDR may be obscured and only a joint interpretation of effect may be reasonable. • Both experience with energy-conserving activities and intentions to engage in such activities are hypothesized to reduce the discount rate. c d 9 0 9 9 • More household members are expected to increase the discount rate. R e l a t i o n s h i p s b e t w e e n e x p l a n a t o r y v a r i a b l e s and the level of t h e discount rate (dependent variable) can b e interpreted as follows: • The higher the discount rate, the less likely that a similar real investment will be undertaken. • Thus any variable that positively (negatively) affects the discount rate will reduce (increase) the likelihood of a household undertaking energy-conserving investments. Results of the Discount Rate Estimation B e c a u s e the cost s a v i n g r e s p o n s e is t r u n c a t e d ( $ 5 0 or m o r e ) , a tobit model was used in estimating the discount rate with t h e limiting value of the discount rate at 50 percent. A t t h e mean of continuous variables and modal values of the d u m m i e s , the probability of a nonlimit observation (positive return less than 50 percent) is 8 7 . 9 percent; the observed frequency is 87.7 percent. Table 1 shows the normalized coefficients, r-ratios, estimated regression coefficients, and the elasticities at the m e a n s of continuous variables. T h e regression coefficients and elasticities apply to the relationship between the explanatory variables and the level of t h e gross discount rate, given that GDR is a nonlimit observation. S u m m a r y statistics for the explanatory variables are s h o w n in Table 2 (left c o l u m n s ) , and the simple correlation coefficient matrix is shown in the u p p e r section of T a b l e 3 . C h a n g e s in the level of the discount rate are most sensitive to t h e h o u s e h o l d square footage (HSF). A l s o important in t e r m s of the percentage change in the discount rate l e v e l r e s u l t i n g from a p e r c e n t c h a n g e in an e x p l a n a t o r y variable (elasticity) are n u m b e r of family m e m b e r s (NUM) and intentions to conserve (INT): Elasticity Household square footage Number in family Intentions to conserve — .227 + .197 — .059 A l t h o u g h t h e s e t h r e e v a r i a b l e s act in a c c o r d with the h y p o t h e s e s , i n c o m e , surprisingly, does not. T h e coefficient is negative but insignificant. T h e r e are a n u m b e r of possible explanations for the result. First, the high correlation bet w e e n i n c o m e a n d h o u s e h o l d s q u a r e f o o t a g e ( + 0.46) m a k e s it difficult t o i n t e r p r e t t h e t w o v a r i a b l e s independently. T h u s , the testing of independent effects on the discount rate from each of these variables m a y not be meaningful. Second, it m a y b e that t h e various counterbalancing influences of t h e i n c o m e v a r i a b l e p r e v i o u s l y discussed weakens the linkage to the discount rate. Last, the overall magnitude of the effect of i n c o m e on the discount rate may be slight, m a k i n g findings of statistical significance difficult to obtain. Interestingly, the role of i n c o m e is greatly expanded in explaining the choice of a " d o n ' t know or unc e r t a i n " r e s p o n s e , suggesting that at this m o r e elementary level of c h o i c e , i n c o m e plays a different role. This is discussed in the following section. For energy-saving d u r a b l e s , a d a m p e n i n g influence on investment m a y result from a trend decline in the size of housing units. F o r e x a m p l e , the construction of smaller new h o m e s m a y l e a d to a d e c l i n e in t h e a c c e p t a n c e of new energy-saving i n v e s t m e n t s . A countering effect may be a decline in the average family s i z e — a trend which would act to l o w e r t h e r e q u i r e d d i s c o u n t rate a n d increase the probability of investment. Although household size and n u m b e r in the family are important variables, the intentions to engage in conserving activities (INT) m a y h a v e a m o r e important short-term influence on energy-saving investments. Household square PURCHASE OF ENERGY-SAVING GOODS 243 TABLE 2 SUMMARY STATISTICS OF VARIABLES Positive savings responses only (725 observations) Variable name Housing type (DTY) Housing age (DAG) Number (NUM) Experience (EXP) Income (INC) Intentions (INT) Home size (HSF) a b a b "Don't know or uncertain" responses (356 observations) Mean Standard deviation Mean Standard deviation 0.10897 0.67724 3.2938 1.9117 19,612. 0.92690 1,485.7 0.31181 0.46785 1.3748 1.9032 9,863. 1.2411 801.82 0.17697 0.80337 3.0758 1.5112 12,969. .5787 1,032.2 0.38218 0.39801 1.5771 1.8877 8,781. 1.0546 752.18 Dummy variable for housing type (1 = mobile home; 0 = conventional). Dummy variable for housing age (1 = pre-1974;0 = 1974 or newer). f o o t a g e , i n c o m e , a n d n u m b e r of f a m i l y m e m b e r s are " s t o c k " v a r i a b l e s and generally c h a n g e quite slowly. On t h e other h a n d , large p e r c e n t a g e c h a n g e s in the intentions i n d e x are not i m p r o b a b l e w h e n the current level of intent i o n s is l o w . F o r e x a m p l e , w h e n the current intentions index is at 1 (activity), an i n c r e a s e by j u s t 1 in intended activities w o u l d decrease the estimated discount rate from 2 2 . 2 to 2 0 . 9 percent in o u r m o d e l . T o obtain a like c h a n g e in the discount rate, m e a n family size w o u l d h a v e to rise from 3 . 2 9 to 4 . 2 7 m e m b e r s . B e c a u s e i n c o m e a n d h o u s e h o l d s q u a r e footage are h i g h l y correlated, an individual variable interpretation m a y be i m p r o p e r . If considered jointly, inc o m e and h o u s e h o l d square footage still m u s t rise far above n o r m a l trend to h a v e the impact of a 1-unit increase in the intentions i n d e x . P r o m o t i n g the c o n c e p t of energy-conservi n g activities m a y be o n e w a y of altering the intentions of c o n s u m e r s to p e r f o r m these activities. T h u s successful prom o t i o n s that substantially increase intentions should h a v e a large influence on the actual a c c e p t a n c e rate of untried, energy-saving d u r a b l e g o o d s . 7 T h e h y p o t h e s i z e d n e g a t i v e effect of the experience varia b l e on the d i s c o u n t rate w a s not o b s e r v e d to be statistically significant. E x p e r i e n c e and intentions are not necessarily p o s i t i v e l y l i n k e d ; e a c h m a y p l a y a different r o l e in the m o d e l . The s i m p l e correlation coefficient in this sample is + O . 0 0 8 . C o r r e l a t i o n c o u l d be n e g a t i v e if, for e x a m p l e , t h e r e were a m a j o r revision in c o n s u m e r p l a n s . T h e role of e x p e r i e n c e in p r o v i d i n g a s s u r a n c e to an individual that s/he h a s some basic c o m p e t e n c y in an investment area m a y be i m p o r t a n t in e x p l a i n i n g the decision to e x a m i n e an investm e n t proposal on e c o n o m i c g r o u n d s . That subject is disc u s s e d in'the n e x t section. W h e t h e r h o u s i n g is m o b i l e h o m e or conventional (DTY) is statistically significant at the 90-percent confidence int e r v a l . T h e p o s i t i v e s i g n o f DTY m a y b e influenced by collinearity with h o u s e h o l d s q u a r e footage (HSF). T h e sim- Income may be considered as a stock (of wealth) if it is interpreted as a proxy for permanent income. 7 pie correlation coefficient of HSF to DTY is — 0 . 3 2 5 . Surprisingly, D A G , the d u m m y on h o u s i n g age (1 = p r e - 1 9 7 4 construction), h a d a n e g a t i v e effect on the discount rate. An explanation of this result is not o b v i o u s . O n e line of r e a s o n i n g is t h a t o l d e r h o u s i n g u n i t s are o n a v e r a g e in poorer repair so that t h e probability of an e n e r g y - s a v i n g device achieving c l a i m e d results m a y be considered h i g h . T h e mean o b s e r v e d discount rate of 22.5 percent is not unusually high for an i n v e s t m e n t in household d u r a b l e s . H a u s m a n ( 1 9 7 9 ) , in a study of c o n s u m e r purchases of energy-saving a p p l i a n c e s , found a 2 6 . 4 percent m e a n level of the discount r a t e . H e estimated m u c h higher rates for low income levels and m u c h l o w e r rates for very high i n c o m e levels. By contrast, o u r results d o not suggest this linkage of the discount rate level to i n c o m e . T h e discount rates, calculated by i n c o m e r a n g e s , are: Annual income range Discount rate Under $5,000 $5,000-$ 10,000 $10,001-$15,000 $15,001-$25,000 Over $25,000 21.6% 25.4% 25.3% 23.0% 19.9% These results suggest that, o n c e a c o n s u m e r is willing to consider an i n v e s t m e n t in t e r m s of expected costs and benefits, income m a y p l a y a w e a k role in predicting the discount rate level and t h e c o n s e q u e n t acceptance rate. In the next section, w e e x a m i n e the role of income in the decision not to attempt an e c o n o m i c appraisal of the i n v e s t m e n t . The "Don't Know or Uncertain" Response H e r e w e look briefly at the factors that m a y p u s h a h o u s e h o l d r e s p o n d e n t i n t o t h e " d o n ' t k n o w or u n c e r t a i n " r e sponse on the i n v e s t m e n t q u e s t i o n . W e h a v e argued p r e v i o u s l y that t h i s r e s p o n s e i s , in g e n e r a l , m a d e w i t h o u t consideration of either future costs or values surrounding the durable. A decision m a d e w i t h o u t examining costs o r benefits cannot b e c o n s i d e r e d as rational investment anal- THE JOURNAL OF CONSUMER RESEARCH 244 TABLE 3 SIMPLE CORRELATION COEFFICIENT MATRICES A. Positive return respondents: Variable DTY DAG NUM EXP INC INT HSF VAR 1.00000 -0.00475 -0.05867 -0.07920 -0.23658 -0.04720 -0.32477 1.00000 -0.05208 -0.07548 -0.14029 0.04970 -0.15728 DTY DAG 1.00000 0.08119 0.19194 0.10084 0.21622 NUM 1.00000 0.00341 0.00837 0.02379 EXP 1.00000 0.07655 0.45788 INC 1.00000 0.01756 INT 1.00000 HSF 1.00000 -0.13324 -0.12828 -0.09785 -0.07043 -0.17657 DAG 1.00000 0.09765 0.27892 0.18017 0.15246 NUM 1.00000 0.09261 0.22879 0.12702 EXP 1.00000 0.16453 0.36634 INC 1.00000 0.11127 INT 1.00000 HSF "Don't know or uncertain" respondents: Variable DTY DAG NUM EXP INC INT HSF VAR 1.00000 0.00718 -0.07374 -0.15700 -0.16050 -0.08006 -0.21721 DTY y s i s . This assertion rests upon the option not chosen by the ' ' d o n ' t k n o w " r e s p o n d e n t s — i . e . , to i n d i c a t e the o p e n e n d e d h i g h e s t return on the investment; s o m e positive return m u s t b e sufficient to i n d u c e i n v e s t m e n t for a n y r a t i o n a l individual. T h e s a m e set of explanatory variables from Equation 1 is used in a probit regression, where 1 . = " d o n ' t k n o w or u n c e r t a i n " r e s p o n s e . T a b l e 2 , in t h e far r i g h t c o l u m n s , indicates m e a n s and standard deviations of each explanatory variable for the " d o n ' t k n o w " r e s p o n d e n t s , and Table 3 s h o w s the simple correlation coefficient m a t r i x . T h e regression coefficient estimates and r-ratios are: Variable DTY DAG NUM EXP INC INT HSF Constant R = 2 Estimate T-ratio -.06194 .20775 - .03736 - .04239 -.00003 -.11330 -.00026 .34647 .1440 -0.499 2.110 1.269 -1.883 -6.733 -3.039 -4.117 2.139 T h e largest difference b e t w e e n the probit model and the m o d e l of t h e discount rate level is the g r e a t e r m a g n i t u d e of t h e i n c o m e effect in the probit a n a l y s i s . In addition, exp e r i e n c e is a statistically significant v a r i a b l e in the probit m o d e l . A l l other variables that were significant in the tobit analysis of the level of the discount rate r e m a i n s o , and the size of t h e h o u s e h o l d square footage variable effect is inc r e a s e d . A s discussed previously, c o n s u m e r s with low inc o m e s m a y lack the tools to grasp the i n v e s t m e n t p r o b l e m . T h u s i n c o m e m a y act as a " f i l t e r , " p u s h i n g such individuals into a " d o n ' t k n o w " n o n r e s p o n s e . T h e relationship b e t w e e n i n c o m e level a n d t h e p r o b a b i l i t y of t h e " d o n ' t k n o w , " nonrational response is: Income level Probability of "don't know or uncertain" response $5,000 $10,000 $15,000 $20,000 $25,000 $35,000 42.0% 35.3% 29.2% 23.4% 18.5% 10.7% H i g h positive correlation b e t w e e n i n c o m e and household s q u a r e f o o t a g e s u g g e s t s t h e s a m e w a r n i n g as before— n a m e l y , that the t w o variables m a y best b e treated jointly. T h e m a g n i t u d e of the c o m b i n e d effect of t h e s e t w o varia b l e s , m o v i n g in u n i s o n , should a p p r o x i m a t e the effects d e m o n s t r a t e d in the tabular display j u s t g i v e n . G r e a t e r e x p e r i e n c e w i t h e n e r g y - c o n s e r v i n g activities t e n d s to increase the probability that a positive savings res p o n s e will b e obtained from an individual. T h e fact that t h e e x p e r i e n c e variable (like i n c o m e ) is significant at this level of analysis but is not significant in the regression on t h e d i s c o u n t rate level is consistent with the following arg u m e n t : (1) i n d i v i d u a l s ' conceptual abilities are linked to prior e x p e r i e n c e as well as to i n c o m e ; (2) o n c e this conc e p t u a l p r o b l e m is o v e r c o m e , t h e i n v e s t m e n t analysis h i n g e s u p o n expected future benefits and c o s t s , which are essentially unrelated to i n c o m e or prior e x p e r i e n c e . While this line of reasoning has plausibility, there m a y be other a r g u m e n t s that could be offered. PURCHASE OF E N E R G Y - S A V I N G GOODS 245 Unexplained Variance The low R values f r o m t h e estimations suggests that these basic m o d e l s m a y b e w e a k in a n u m b e r of w a y s . T o obtain a m e a s u r e of p r e d i c t i v e v a l i d i t y , cross-validated correlations were o b t a i n e d o n t h e p r o b i t m o d e l . T h i s w a s d o n e by splitting the s a m p l e r a n d o m l y into an estimation a n d a holdout s a m p l e . R e g r e s s i o n p a r a m e t e r s from the e s t i m a t i o n sample were u s e d to o b t a i n p r e d i c t i o n s of the d e p e n d e n t variable in t h e h o l d o u t s a m p l e . T h e c o r r e l a t i o n o f t h e s e predictions with the a c t u a l h o l d o u t values of the d e p e n d e n t variable was m a d e . T h i s p r o c e d u r e w a s then r e v e r s e d , with the holdout s a m p l e b e c o m i n g the estimation s a m p l e . F o r the overall s a m p l e e s t i m a t i o n , t h e unadjusted R is 0 . 1 4 4 . T h e two cross-validation c o r r e l a t i o n s are 0 . 1 5 1 and 0 . 1 3 4 . 2 2 The low R values r e p o r t e d for the estimated m o d e l s d o not signal the failure o f t h e m o d e l s . Part of t h e l o w e x plained variance in t h e a n a l y s i s of the discount rate level m a y result from r a n d o m n e s s of r e s p o n s e by those w h o h a d no rational basis for c h o i c e . U n d o u b t e d l y , our m o d e l s c o n tain insufficient i n f o r m a t i o n to explain the initial r e s p o n s e s to a tough i n v e s t m e n t d e c i s i o n . Personality characteristics, attitudes, and family life s t y l e — a s well as additional e c o nomic c o n s i d e r a t i o n s — m a y b e quite important. Studies w i t h m o r e specific a n d e x t e n s i v e data on t h e s e f a c t o r s should throw m o r e light o n t h e influences behind decisions about investments in u n t r i e d d u r a b l e s . H o w e v e r , it is likely that low R v a l u e s w o u l d b e o b t a i n e d with a m u c h richer data set. Q u e s t i o n s t h a t p r o v i d e very little detailed information about a l o n g - t e r m a c t i v i t y and that require substantial conceptual a n d a n a l y t i c ability will invariably p u z z l e prospective d e c i s i o n - m a k e r s . Our model only provides c l u e s to s o m e of t h e r e l e v a n t f a c t o r s b e h i n d i n v e s t m e n t behavior. 2 2 SUMMARY In a mail s u r v e y , h o u s e h o l d s w e r e asked to choose either the minimal a c c e p t a b l e a n n u a l cost reduction on a longlived energy-saving d e v i c e ( g i v e n an initial purchase and installation price) or to c h o o s e not to respond by indicating " d o n ' t k n o w or u n c e r t a i n . " W e then sought to e x a m i n e factors influencing the c h o i c e s of h o u s e h o l d s . Factors related to e x p e c t e d c o s t and value influence the decisions of i n d i v i d u a l s w h o c a n conceptualize an investm e n t p r o b l e m . G e n e r a l l y , c o n s u m e r s acted as if there were additional costs b e y o n d t h o s e stated in the survey question, and they consistently a t t e m p t e d to integrate the incremental costs into their i n v e s t m e n t d e c i s i o n s . In the study, this w a s reflected by l o w e r i n d i v i d u a l d i s c o u n t rates for those bearing lower e x p e c t e d c o s t s ( o r greater value) for the investment. Factors that l o w e r t h e d i s c o u n t rate increase the rate of acceptance of an untried d u r a b l e g o o d . Variables important to explaining the d i s c o u n t r a t e are: household square foota g e , n u m b e r of family m e m b e r s , age of housing, and intentions to u n d e r t a k e e n e r g y - c o n s e r v i n g activities. A major short-term d e c r e a s e in t h e d i s c o u n t rate and increase in the a c c e p t a n c e rate for an investment is unlikely unless intentions are substantially revised upward. Unlike other variables in the m o d e l (such as i n c o m e , family s i z e , and h o u s e h o l d square footage), intentions are subject t o larger and q u i c k e r adjustments that can rapidly alter the prospects for investment. F o r individuals w h o do not have the conceptual tools to analyze the i n v e s t m e n t p r o b l e m , a response to the investm e n t q u e s t i o n i s , in g e n e r a l , n o n r a t i o n a l ( m a d e w i t h o u t c o n s i d e r a t i o n of costs or benefits). T h e bulk of these individuals r e s p o n d e d to the question with a " d o n ' t k n o w o r u n c e r t a i n " r e s p o n s e . C o m p a r e d to those w h o went ahead and a n s w e r e d the investment question, the " d o n ' t k n o w " r e s p o n d e n t s w e r e characterized by lower i n c o m e , smaller h o m e s , larger families, less experience with energy-conserving activities, and lower intentions to e n g a g e in future e n e r g y - c o n s e r v i n g activities. T h e study did not find that c o n s u m e r s w h o participated in t h e s u r v e y by providing positive return responses w e r e b e h a v i n g irrationally. Although i n c o m e w a s an important variable in predicting w h e t h e r an individual would consider the i n v e s t m e n t analysis, it played n o statistically significant r o l e in e x p l a i n i n g t h e l e v e l of the d i s c o u n t r a t e u s e d b y i n d i v i d u a l s . T h e m e a n discount rate observed in the study w a s 2 2 . 5 p e r c e n t and does not vary significantly with inc o m e . This finding contrasts with earlier work by H a u s m a n ( 1 9 7 9 ) , w h i c h found very high discount rates used by the poor. [Received June 1982. Revised June 1983.] APPENDIX T h e i n d i c e s of e x p e r i e n c e , EXP, a n d i n t e n t i o n s , INT, were d e v e l o p e d from each r e s p o n d e n t ' s a n s w e r s to the following question: Check below those things which you or your landlord have done in the last twenty-four months (two years), if any, AND those which you or your landlord are definitely planning to do in the next twelve months, if any. Check ALL that apply. Individuals w e r e given 10 specific options of things they m a y h a v e d o n e or i n t e n d e d to d o . F o r e a c h , t h e y c o u l d c h e c k " h a v e d o n e in the last 24 m o n t h s , " "definitely p l a n n i n g to d o in the n e x t 12 m o n t h s , " or b o t h . T h e l a t t e r w o u l d b e the appropriate response, for e x a m p l e , if the r e s p o n d e n t h a d recently added ceiling insulation and intended to increase the thickness within the year. T h e 10 specific options w e r e : 1. Add ceiling insulation 2. Add wall or floor insulation 3. Put insulation around a water heater 4. Install a clock thermostat 5. Purchase storm or insulated windows or doors 6. Adjust the usual temperature setting, either up in the summer or down in the winter THE JOURNAL OF CONSUMER RESEARCH 246 7. Add attic or roof fans 8. Install an auxiliary heating unit using coal or wood 9. Add weather stripping or caulking around doors, windows, walls, or foundations 10. Purchase a more energy-efficient heating unit, air conditioner, or hot-water heater A n eleventh option w a s " o t h e r major energy conservation efforts (please s p e c i f y ) , " and several blank lines followed for a r e s p o n s e . B a s e d on the n u m b e r of checked responses out of a m a x i m u m of 11 for either past or intended action, the indices EXP and INT w e r e d e v e l o p e d . T h u s , for exa m p l e , INT = 3 w o u l d state that t h r e e of the p o s s i b l e actions listed w e r e planned for the c o m i n g year. REFERENCES Becker, Gary S. (1965), " A Theory of the Allocation of T i m e , " Economic Journal, 75 (September), 493-517. Consumer Reports (1978), "The Overselling of Insulation," 43 (February), 6 7 - 7 3 . Ferber, Marianne A. and Bonnie G. Bimbaum (1977), "The 'New Home Economies': Retrospects and Prospects," Journal of Consumer Research, 4 (June), 19-28. Ferber, Robert (1973) "Consumer Economics, A Survey," Journal of Economic Literature, 11 (December), 1303-1342. Gately, Dermot (1980), "Individual Discount Rates and the Purchase and Utilization of Energy-Using Durables: Comment," The Bell Journal of Economics, 11 (Spring), 373-374. Hausman, Jerry A. (1979), "Individual Discount Rates and the Purchase and Utilization of Energy-Using Durables," The Bell Journal of Economics, 10 (Spring), 33-54. Kahneman, Daniel, and Amos Tversky (1972), "Subjective Probability: A Judgment of Representatives," Cognitive Psychology, 3 (July), 430-454. Kirzner, Israel (1973), Competition and Entrepreneur ship, Chicago: University of Chicago Press. Lancaster, Kelvin (1975), " T h e Theory of Household Behavior: Some Foundations," Annals of Economics and Social Measurement, 4(1), 5 - 2 1 . Menefee, John A. (1982), "The Demand for Consumption Time: A Longitudinal Perspective," Journal of Consumer Research, 8 (March), 391-397. McKelvey, Richard D. and William Zavoina (1975), " A Statistical Model for the Analysis of Ordinal Level Dependent V a r i a b l e s , " Journal of Mathematical Sociology, 4(1), 103-120. Nunnally, Jim C. (1978), Psychometric Theory, New York: McGraw-Hill. Theil, Henry (1981), Principles of Econometrics, New York: John Wiley. Tobin, James (1958), "Estimation of Relationships for Limited Dependent Variables," Econometrica, 26 (January), 24-36. Tversky, Amos and Daniel Kahneman (1973) "Availability: A Heuristic forjudging Frequency and Probability," Cognitive Psychology, 5 (April), 207-232. Willis, Robert J. (1973), " A New Approach to the Economic Theory of Fertility Behavior," Journal of Political Economy, 81 (March/April), 514-564. Wright, Peter L. and Frederic Barbour (1977), "Phased Decision Strategies: Sequels to an Initial Screening," in North-HollandlTIMS Studies in the Management Sciences, Vol. 6, eds. Martin K. Starr and Milan Zeleny, Amsterdam: North-Holland.
© Copyright 2024