BRIEF RESEARCH REPORT article

Front. Behav. Econ., 12 June 2026

Sec. Behavioral Microfoundations

Volume 5 - 2026 | https://doi.org/10.3389/frbhe.2026.1828446

How consumers evaluated precise, just-below, and round prices: evidence from two high-powered, preregistered experiments

  • School of Management and Technology, Leuphana University Lüneburg, Lüneburg, Germany

Abstract

Round, just-below (e.g., 9.99), and precise (e.g., 9.87) prices are widespread in consumer markets, yet evidence on their psychological effects remains inconclusive, at times even contradictory, and heavily concentrated on the contrast between just-below and round prices. Recent work further shows that these price endings differ systematically in their prevalence across countries, underscoring the need to understand the consumer-level mechanisms that may make them effective in the first place. Across two preregistered, high-powered experiments (total N = 729), we therefore examined how round, just-below, and precise prices shape purchase intentions, price image, quality image, and price recall. Across studies, precise prices produced the most favorable price image and were most likely to be underestimated in recall, followed by just-below prices and then round prices. By contrast, price endings did not reliably affect quality image or purchase intentions. Exploratory mediation analyses suggest that the relative advantage of precise prices operates through price image rather than quality image or recall-based underestimation. These findings identify behavioral foundations of price-ending effects at the level of individual consumer judgment and complement recent macro-level evidence on cross-cultural differences in the prevalence of round, just-below, and precise prices.

Introduction

Price endings are a pervasive feature of consumer markets. While just-below, 9-ending prices are highly prevalent (e.g., $9.99; ; ; ), precise ($9.87) and round prices ($10.00) comprise less common pricing strategies. Recent evidence suggests that these endings also differ systematically in their prevalence across real-world E-commerce settings and across countries (Ventura et al., 2025). Yet consumer research has focused mainly on the contrast between just-below and round prices, often assuming that just-below prices increase demand (; see Troll et al., 2024, for a meta-analytical review). Empirical findings, however, remain mixed and inconclusive: while some studies report positive effects of just-below over round prices (e.g., ; ), others report null or even reversed effects (e.g., ; ; ; Wieseke et al., 2016). These mixed findings may result from opposing positive and negative effects of just-below prices (Troll et al., 2024).

Two broad accounts have been proposed to explain price-ending effects. First, level effects assume that consumers underestimate the magnitude of certain prices, especially just-below prices relative to round prices (). Second, according to image effects, just-below prices signal that a price is discounted but also of lower product quality (; Schindler and Kibarian, 2001). Accordingly, price endings may shape not only consumers’ purchase intentions, but also the price image, quality image, and price recall ().

The sole comparison of just-below vs. round prices is incomplete, however. A broader literature on numerical precision shows that precise numbers shape decision-making (Schultze and Loschelder, 2021), estimations (), negotiations (; Yan and Pena-Marin, 2017), or dieting and goal setting (, ). In the pricing domain, by contrast, precise prices have received comparatively little attention in recent years—showing both negative and positive effects so far (; ).

Following Wieseke et al. (2016), we refer to 9-ending prices as ‘just-below’ prices (e.g., $3.99 instead of $4.00, or $19.95 vs. $20.00; ). We use the term ‘precise price’ for prices with non-zero trailing digits (e.g., $9.87 or $10.13 instead of $10.00; ; ), whereas prices ending in one or more trailing zeros (e.g., $4.00 or $4.40) are denoted as round prices. While other strands of the literature have operationalized 9-ending prices as precise prices (; Yan and Pena-Marin, 2017), we distinguish just-below from precise prices because the former are defined by threshold-adjacent charm-pricing cues (i.e., lying close to and ‘just-below’ a salient round price), whereas the latter are intended to convey exactness, calculation, accuracy, and specificity (; ; ; Thomas et al., 2010).

Theoretical accounts and extant empirical evidence

We shall briefly outline two prominent theoretical accounts for psychological price-ending effects. Level effects (also labeled ‘underestimation effects’; ; Thomas and Morwitz, 2005) attempt to explain why two prices of essentially the same amount ($14.99 and $15.00) are psychologically perceived as considerably different (; ; Wieseke et al., 2016). Three lines of reasoning are relevant: First, consumers round prices down to the next lower whole amount ($14.99 as $14.00; ). Second, consumers compare the digits of a price one by one and stop this comparison as soon as a difference is encountered [comparison between $14.99 and $15.00 stops after the second digit (4 vs. 5); Thomas and Morwitz, 2005]. Third, consumers minimize cognitive effort by memorizing particularly the leftmost digit(s) of a price, which carries the highest monetary value ($14.99 is remembered as $14 “plus something”; Schneider et al., 2025; see also Sokolova et al., 2020). All these cognitive processes are interrelated but consistently lead to a substantial underestimation of the just-below vs. round price. A recent meta-analysis by Troll et al. (2024) found a moderate meta-analytical underestimation effect [g = 0.67, CI95% (0.04, 1.30)] for just-below compared to round prices.

According to image effects, consumers infer meaning from different price endings that signal distinct price and quality images (; Weisstein et al., 2013). First, a just-below price signals the price image that the respective product is on sale or that this is the lowest price on the market (Schindler and Kibarian, 2001). In contrast, quality image effects would assume that a just-below price signals lower product quality than a round price (Schindler and Kibarian, 2001). As suggested by cue-utilization theory, consumers use prices as cues for judging the product's quality (; ; Wang et al., 2022) and have internalized the positive relationship between price magnitude and perceived quality (r = .286; for a meta-analysis, see Völckner and Hofmann, 2007). In stark contrast to price image effects, quality image effects assume a beneficial effect of round over just-below prices. In sum, there is more empirical support for price image effects than for quality image effects (see Troll et al., 2024, for a meta-analytic summary). Based on this theorizing, we hypothesized:

Hypothesis 1. Just-below (vs. round) prices will lead to higher purchase intention, better price images, worse quality images, as well as more underestimated and less accurate price recall.

The third, massively under-researched category of price endings is that of precise prices. In the last decade, precise price endings became increasingly common. Numeric precision has been shown to affect human decision making in various contexts (e.g., ; ; ; ; ; Schultze and Loschelder, 2021; Thomas et al., 2010). Following research from negotiations (, ), an advertiser who sells a product at a precise price should send a strong signal about the accuracy of the price; potential buyers should assume that the price more accurately reflects the true value of the product (; see also ). Following this attribution-of-competence theorizing, we therefore hypothesized:

Hypothesis 2a. Precise (vs. round) prices will lead to higher purchase intention, more favorable price images, and more favorable quality images.

Other precision research, however, suggests diametrically opposed predictions: Round prices with trailing zeros are more fluently processed than precise ones, which elicits the experience of “feeling right” (Wadhwa and Zhang, 2015). The processing-fluency theory () suggests that consumers prefer round over precise prices. For example, Wadhwa and Zhang (2015) propose that round (vs. non-rounded) prices “feel right” and thus lead to particularly positive (emotional) responses and purchasing behavior.1 In contrast to the attribution-based theorizing detailed above and based on processing-fluency theorizing, we therefore hypothesized:

Hypothesis 2b. Round (vs. precise prices) prices will lead to higher purchase intention, more favorable price images, more favorable quality images, and better recall accuracy.

The present research examines these competing theoretical predictions (Hypothesis 2a vs. Hypothesis 2b), which were preregistered as exploratory tests (see Table 1).

Table 1

ComparisonPreregistration statusHypothesis
H1: Round vs. just-below pricesConfirmatoryJust-below (vs. round) prices were predicted to lead to higher purchase intention, more favorable price image, less favorable quality image, and greater underestimation/worse recall than round prices.
H2a: Round vs. precise pricesPreregistered exploratory (competing hypothesis)Attribution-of-competence theorizing predicts precise (vs. round) prices lead to higher purchase intention, more favorable price images, and more favorable quality images.
H2b: Round vs. precise pricesPreregistered exploratory (competing hypothesis)Processing-fluency theorizing predicts that round (vs. precise) prices lead to higher purchase intention, more favorable price images, more favorable quality images, and better recall accuracy.
Precise vs. just-below pricesPreregistered exploratory (undirected hypothesis)We explored whether precise and just-below prices differ in purchase intention, price image, quality image, and recall-related outcomes, as there is no sufficiently clear directional basis in the literature.

Overview of preregistered predictions.

Preregistered hypotheses concerned the comparison between (1) just-below versus round prices, derived from the established literature on level effects and image effects, and between (2) precise versus round prices, derived from attribution-of-competence theorizing and processing-fluency theorizing. Predictions involving precise prices were preregistered as exploratory because the literature implied competing directional expectations.

This question is especially timely in light of recent evidence that round, just-below, and precise prices differ systematically in their marketplace prevalence across countries (Ventura et al., 2025).2 They document macro-level differences in the use of these price endings in E-commerce, and the present research complements that work by testing the behavioral foundations of how individual consumers perceive, recall, and evaluate these same price formats. In other words, if different price endings are used differently across markets, it is important to understand the consumer-level mechanisms that may make these formats more or less attractive.

The present research—overview and contribution

This research advances the field in three ways: First, considering the inconclusive evidence for just-below vs. round prices, we provide preregistered and high-powered3 tests of price-ending effects, which are particularly valuable in a literature marked by mixed findings (Troll et al., 2024). Second, to our knowledge, there is no previous study that has simultaneously examined (or reported) the effects of price endings on central dependent variables in this literature. In contrast to prior studies that focused on selected dependent variables, we examine four key outcomes within the same experimental paradigm: (1) purchase intention, (2) price image, (3) quality image, and (4) price recall. Third, we integrate research on just-below vs. round prices with work on numerical precision, thereby testing consumer responses to three price endings that are all relevant in real-world markets (Ventura et al., 2025).

Study 1

Study 1 provided the initial test of how round, just-below, and precise prices affect purchase intention, price image, quality image, and price recall.

Method

All experimental methods, original data, analyses scripts, and additional material are publicly available on the Open Science Framework (OSF; see https://osf.io/4qfxu, blinded for peer review). We preregistered the study's design, hypotheses, and the analysis plan (https://osf.io/9f5dc). We report all data exclusions, manipulations, and measures.

We applied a 3 (price ending: round vs. just-below vs. precise) × 6 (product: sofa, smoothie maker, bike lock, floor lamp, projector, backpack) mixed-design with repeated measures on the latter factor. Based on a sample size analysis in G*Power (1–β= .90; α= .05; f= 0.25, assumed correlation between products of r = .80; ), we recruited 290 German students (67.2% women, 0.3% diverse; Mage= 24.29, SD= 7.61) at {Institution blinded for peer review} for course credit and a chance to win a 50€ online voucher. We excluded participants who exceeded >|2.5| SD from the condition mean of purchase intention (n = 2), price image (n = 1), and quality image (n = 4).4 For the assumed effect of f= 0.25, the true power of the final N = 284 was 1–β= 98.91%.

Manipulations

We randomly assigned participants to a condition: round (n = 96), just-below (n = 92), and precise prices (n = 96). In the precise condition, half of the participants saw prices that were slightly lower (e.g., €28.83) vs. slightly higher (e.g., €31.17) than the round prices (e.g., €30.00). We followed prior research in collapsing across this over/under factor to rule out that outcome differences are driven by a difference in price magnitude between the precise and the round condition (see Tables S3, S7–S8; see also ; ; ). The stimulus materials for all conditions are available on OSF (https://osf.io/5twn4).

Dependent measures

Participants imagined themselves seeking to buy six products in a randomly presented order (sofa, smoothie maker, bike lock, floor lamp, projector, backpack). For each product, we assessed all four key outcomes of the literature: (1) purchase intention, (2) price image (four items; .70 <  < .835; adapted from Schindler and Kibarian, 2001; ), and (3) quality image (three items; .79 <  < .876; adapted from Schindler and Kibarian, 2001). All items were rated on 7-point scales (1 = strongly disagree; 7 = strongly agree; see OSF for full item list). After participants had completed (1)-(3), we assessed (4) correct (and underestimated) price recall by asking them to enter the price for all six products (). We operationalized price underestimation via price recall accuracy and underestimated recall, which capture a memory-based measure of underestimation (see ); this differs from the direct comparison-based magnitude-perception paradigm used by Thomas and Morwitz (2005).

Results

Unless noted otherwise, analyses were preregistered (see OSF for preregistered analyses). For brevity, we only report the main effects of price ending from the 3 × 6 mixed ANOVA (see Table 2, detailed results in the SOM).

Table 2

OutcomeRoundJust-belowPreciseF(2, 281)ηp2
Image effects
Price image3.42 (0.61) a3.26 (0.89) a3.70 (0.77) b8.04***.054
Quality image4.12 (0.57)4.05 (0.77)4.14 (0.68)0.45.003
Level effects
Correct recall84% (19%) a13% (17%) b4% (10%) c714.83***.836
Underestimated recall11% (15%) a44% (25%) b65% (24%) c150.88***.518
Consumer demand
Purchase intention3.48 (0.84)3.49 (1.02)3.56 (0.98)0.16.001

Means (standard deviations) and ANOVA effects on crucial consumer outcomes in study 1.

Mean (standard deviation in parentheses) are based on the complete sample of N = 284 in Study 1. F-values for preregistered main effects of Price Ending are based on 3 (Price Ending) × 6 (Product) mixed ANOVAs with repeated measures on the latter factor. In case of a significant main effect, means with different subscripts (a, b, c) per row are significantly different from each other based on post-hoc contrast analyses (i.e., ts < 2.75, ps < .007). For all other analyses, see SOM.

***

p < .001.

Effects of price endings

For price image, we found a significant price-ending effect, F(2, 281) = 8.04, p<.001, ηp2= .054. Contrast analyses showed that precise prices (M = 3.70, SD = 0.77) caused better price images than round (M = 3.42, SD = 0.61), t(180.88) = 2.75, p = .007, d = 0.40, and just-below prices (M = 3.26, SD = 0.89), t(179.61) = 3.63, p < .001, d = 0.53. The latter two did not differ, t(160.44) = 1.49, p = .140, d = 0.22. Similarly, a significant price-ending effect, F(2, 281) = 714.83, p<.001, ηp2= .836, showed that round prices (M = 84%, SD = 19%) were recalled more accurately than just-below (M = 13%, SD = 17%), t(183.74) = 26.89, p < .001, d = 3.92, and precise prices (M = 4%, SD = 10%), t(145.92) = 35.31, p < .001, d = 5.10. The latter two also differed, t(152.15) = 4.26, p < .001, d = 0.63. Also, a significant price-ending effect, F(2, 281) = 150.88, p<.001, ηp2= .518, showed that precise prices (M = 65%, SD = 24%) were more likely to be underestimated than just-below (M = 44%, SD = 25%), t(185.40) = 5.93, p < .001, d = 0.87, and round prices (M = 11%, SD = 15%), t(155.92) = 18.61, p < .001, d= ­­2.69. Again, the latter two also differed, t(146.86) = 11.01, p < .001, d = 1.61. Importantly, price endings did not affect purchase intentions or quality image, Fs < 0.45, ps > .640, ηp2 < .003 (Table 2).

Mediation analysis

We conducted exploratory multiple mediation analyses (Process Model 4; ) to jointly illuminate how price image, quality image, and underestimated recall mediate the price-ending effects on purchase intentions (focusing on precise vs. round and just-below prices; see Figure 1). The indirect effect through price image was significant, b = 0.18, SE = 0.05, CI95% [0.09, 0.29]. The indirect effects through quality image, b = 0.03, SE = 0.04, CI95%[−0.05, 0.11], and underestimated recall, b = 0.06, SE = 0.07, CI95%[−0.07, 0.19], were not.

Figure 1

Interim discussion

In sum, Study 1 showed that precise prices produced the strongest underestimation in price recall (see level-effects theorizing) and the best price image (see image-effects and attribution-of-competence theorizing), thus supporting the price-image component of H2a (while contradicting H2b). Exploratory mediation analyses suggested that price image in turn emerged as an indirect pathway to participants’ purchase intentions. Supporting our H1, just-below prices were also more underestimated than round prices, consistent with level-effects theorizing.

Study 2

The aim of Study 2 was twofold: To replicate Study 1 and to extend our findings by examining the impact of comparison prices (; ; Weisstein et al., 2013). These have repeatedly been found to be relevant for purchase decisions in advertising (), retail (), or auctions (). We expected price-ending effects to be particularly pronounced when target prices were juxtaposed with non-matching round comparison prices (see Troll et al., 2024).

Method

The design and procedure of Study 2 were similar to Study 1 with one exception: We added comparison prices as an exploratory factor with two levels (round vs. matching comparison prices): Each product was accompanied by four comparable products featuring round prices vs. prices that matched the respective price condition (i.e., just-below, precise, or round). In sum, a 3 (price ending: round vs. just-below vs. precise) × 2 (comparison price: round vs. matching) × 6 (product: armchair, pan, water boiler, vacuum cleaner, plates, mattress) mixed-design with repeated measures for the latter factor emerged. The preregistration document (https://osf.io/8t3sy) and stimulus material is available on OSF (https://osf.io/sr7xz). In total, we recruited 439 German students (66.5% women, 0.5% diverse; Mage = 27.46, SD= 10.10) who were randomly assigned to an experimental condition. As preregistered, we excluded participants >|2.5| SD of their condition mean for purchase intention (n = 5), price image (n = 3), and quality image (n = 14).7 The final sample (N = 417) yielded a total power of 1–β = 99.65%. We used the same measures as in Study 1 to assess purchase intention, price image (.65 <  < .72), quality image8 (.83 <  < .87), and price recall. By presenting explicit comparison prices alongside the target price, Study 2 moves conceptually closer to comparison-based paradigms of price perception, although our outcome measure for (underestimated) recall remains memory-based rather than a direct judgment of relative price magnitude.

Results

We report preregistered, confirmatory hypotheses for price-ending effects and explored comparison price as a moderator in 3 (Price Ending) × 6 (Product) × 2 (Comparison Price) mixed ANOVAs (see complete results and robustness analyses in the SOM). Because we did not preregister formal hypotheses for comparison-price moderation, these analyses are interpreted as exploratory.

Effects of price endings and comparison prices

In line with Study 1, no price-ending effects on purchase intentions emerged, F(2, 411) = 0.10, p= .907, ηp2 = .000. A significant main effect for comparison price, however, F(1, 411) = 13.34, p<.001, ηp2 = .031, showed higher purchase intentions when round comparison prices (M = 3.42, SD = 0.92) rather than matching comparison prices (M = 3.07, SD = 1.05) were included (interaction: F[2, 411] = 0.21, p= .808, ηp2 = .001).

We replicated the price-ending main effect, F(2, 411) = 12.14, p<.001, ηp2 = .056, in that precise prices (M = 2.88, SD = 0.86) evoked better price images than round (M = 2.46, SD = 0.69), t(258.70) = 4.52, p < .001, d = 0.55, and just-below prices (M = 2.57, SD = 0.86), t(265.53) = 3.30, p = .001, d = 0.40. The latter two again did not differ, t(278.88) = 1.30, p = .196, d = 0.16. In addition, a comparison-price main effect, F(1, 411) = 22.25, p<.001, ηp2 = .051, showed more advantageous price images for round (M = 2.81, SD = 0.79) compared to matching comparison prices (M = 2.47, SD = 0.73). Both main effects were driven by a particularly positive price-image effect of precise prices that emerged for round comparison prices (interaction: F[2, 411] = 3.00, p= .051, ηp2 = .014; Figure 2).

Figure 2

). Error bars show 95% CI. * p < .05, *** p < .001.

As in Study 1, price endings did not impact quality image, F(2, 411) = 0.85, p= .428, ηp2 = .004. A significant comparison-price main effect, F(1, 411) = 23.09, p<.001, ηp2 = .053, however, revealed higher quality images for round (M = 4.52, SD = 0.68) compared to matching comparison prices (M = 4.19, SD = 0.72; interaction: F[2, 411] = 0.12, p= .887, ηp2 = .000).

Corroborating Study 1, a significant price-ending effect, F(2, 411) = 286.57, p<.001, ηp2 = .582, showed that round prices (M = 65%, SD = 23%) were recalled more accurately than just-below (M = 26%, SD = 30%), t(265.49) = 12.23, p < .001, d = 1.46, and precise prices (M = 1%, SD = 4%), t(147.01) = 31.85, p < .001, d = 3.84. The latter two also differed, t(148.32) = 9.68, p < .001, d = 1.15 (all other Fs < 1.98, ps > .139).

A significant price-ending effect, F(2, 411) = 133.19, p<.001, ηp2 = .393, showed that precise prices (M = 60%, SD = 23%) were, as in Study 1, more likely underestimated than just-below (M = 38%, SD = 27%), t(273.30) = 7.35, p < .001, d = 0.88, and round prices (M = 15%, SD = 17%), t(252.55) = 18.33, p < .001, d = 2.22. The latter two also differed, t(244.00) = 8.54, p < .001, d = 1.02 (all other Fs < 1.45, ps > .236).

Moderated mediation analysis

We conducted exploratory moderated mediation analyses (Process Model 8; ; see Study 1) with comparison price as a potential moderator (see Figure 3). Corroborating Study 1, the indirect effects through quality image and underestimated recall were not significant. Also as in Study 1, the indirect effect through price image was significant, but only for round comparison prices, IMM = −0.17, SE= 0.08, CI95% [−0.34, −0.03], which adds nuance to the only marginally significant omnibus interaction reported above. The conditional indirect effect was significantly stronger for round, b = 0.26, SE= 0.07, CI95% [0.13, 0.40], than for matching comparison prices, b = 0.08, SE = 0.05, CI95% [−0.01, 0.19].

Figure 3

Discussion

Despite widespread use in consumer markets (Ventura et al., 2025), research has shown inconsistent effects of just-below ($9.99; ; ) vs. round prices ($10.00; ; Wieseke et al., 2016). A recent meta-analysis also established small-study effects and publication bias; corrected meta-analytical effects are much smaller and close to zero (Troll et al., 2024). Surprisingly, the literature is void of preregistered and high-powered price-ending experiments. In addition, the effects of precise prices ($9.67) have received comparatively little direct attention in the pricing literature (; ). To address these gaps, two experiments examined how all three price endings affect key outcomes—price image, purchase intention, quality image, and price recall. In contrast to previous research, our high-powered studies did not replicate the price-ending effects on quality image (e.g., Völckner and Hofmann, 2007; cf. ) or on purchase intentions (e.g., ). The absence of direct effects on purchase intentions and quality image may reflect habituation to common pricing practices (; Troll et al., 2024) or the possibility that price endings alone provide insufficient quality information to shape broader product evaluations (). While price endings did not impact quality image and purchase intentions as strongly as was long thought (; Schindler and Kibarian, 2001; Völckner and Hofmann, 2007), they did impact price images in an interesting way.

Precise prices resulted in the most advantageous price image. This suggests that previous benefits of just-below prices—assuming a true phenomenon and as hypothesized in our H1—are not (or at least not exclusively) due to classical image effects alone (). Other processes (e.g., attribution or expectation effects) come into play, particularly for precise prices (e.g., ; see also ). Consumers might infer more diagnostic value from a numerically precise price () and perceive it as particularly fair and accurate (; ), thus increasing purchase intention (see H2a).

Our data expand the literature in three more ways: First, our results show that precise prices were indeed more often underestimated in price recall than just-below and round prices—that is, level effects were most pronounced in these prices (; ). Presumably, this is due to distinguishable cognitive processes, such as processing fluency (; Wieseke et al., 2016). Second, our exploratory mediation analyses suggest that the more favorable price image, associated with precise prices, served as an indirect pathway to purchase intentions (). Third, and finally, our study offers preliminary experimental evidence that this mediation is moderated by comparison prices in the direct vicinity of the target price (; ). Juxtaposed to round prices, the image of precise prices was particularly positive, and comparison prices emerged as a significant moderator in the exploratory mediation analysis (). Note, however, that these findings are based on exploratory analyses and should be interpreted cautiously.

Avenues for future research and implications

The present study suggests avenues for future research. First, we acknowledge that—although our experimental material was closely adapted to today's real-world advertising experiences—we provide experimental evidence in imagined buying situations that should be replicated in field settings. The present studies also offer impetus for future investigation of the underlying processes: With the present data, it remains unclear whether the relative advantage of precise prices is due to basic cognitive and emotional processes (e.g., fluency; Wadhwa and Zhang, 2015) or more complex attribution effects known from decision-making and negotiations (e.g., ). For example, it may be theoretically worthwhile to compare different categories of precise price endings (e.g., $33.97 vs. $33.99). Future research is needed to investigate more thoroughly, and causally, the underlying psychological processes and potential moderators like decision context, price level, or consumer-level factors (; ). Finally, although product effects and product × price-ending interactions were beyond the main scope of this brief report and are therefore reported only in the SOM, these analyses suggest that price-ending effects may differ across products. Future research could examine more systematically when and for which product categories round, just-below, and precise prices are most effective.

Our study suggests cautious implications for advertising and E-Commerce. First, it seems plausible that an overabundance of just-below prices may have weakened the price-image effects reported in earlier studies from past decades. More generally, past pricing effects should be interpreted cautiously, as they may have been overestimated in size (Troll et al., 2024) and may depend on the surrounding price context, such as the presence of other products and prices featured around them (; Thomas and Morwitz, 2005). Expanding the literature beyond just-below prices, our results suggest that scarcely researched precise prices can shape consumer price perceptions and judgments—particularly when presented juxtaposed with round comparison prices (Study 2). At the same time, these implications should not be overstated: Our studies relied on student samples and imagined purchase situations rather than consequential field behavior. The present findings therefore point to potentially relevant consumer-level processes, but stronger managerial conclusions require replication in consequential and field-based market settings. Precise prices may be promising in some contexts, but they are unlikely to constitute a panacea, nor should they be applied indiscriminately. Rather, they should be tested in more naturalistic and field-based settings before stronger managerial conclusions are drawn.

Conclusion

The present research extends the literature by offering a more comprehensive understanding of three common pricing strategies and the perceptual and evaluative processes through which they shape consumer perceptions and subsequent behavior. Our findings identify psychological advantages of thus far understudied precise prices, in that they are frequently underestimated by consumers and generate a more favorable price image than both just-below and round prices. In doing so, we challenge the long-standing assumption that 9-ending prices are consistently the most effective (Study 1). Further expanding extant literature, exploratory mediation analyses suggest that price image serves as an indirect pathway through which precise price endings shape purchase evaluations, especially in the direct vicinity of round comparison prices (Study 2).

Statements

Data availability statement

The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found below: https://osf.io/4qfxu.

Ethics statement

The requirement of ethical approval was waived by Ethical Research Commission of the School of Management and Technology at Leuphana University Lüneburg. The studies were conducted in accordance with the local legislation and institutional requirements. The participants provided their written informed consent to participate in this study.

Author contributions

YE: Conceptualization, Data curation, Formal analysis, Visualization, Writing – original draft, Writing – review & editing. ET: Conceptualization, Investigation, Writing – original draft. M-LH: Conceptualization, Investigation, Writing – original draft. DL: Conceptualization, Investigation, Supervision, Writing – original draft.

Funding

The author(s) declared that financial support was received for this work and/or its publication. This publication was funded by the Open Access Publication Fund of Leuphana University Lüneburg.

Conflict of interest

The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

Generative AI statement

The author(s) declared that generative AI was not used in the creation of this manuscript.

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Supplementary material

The Supplementary Material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/frbhe.2026.1828446/full#supplementary-material

Footnotes

1.^This phenomenon, known as the “rounded price effect”, particularly intensifies consumer reactions toward the target product when the purchase decision is determined by feelings (and less by cognition; Wadhwa and Zhang, 2015).

2.^When focusing on the very last digit, most prices in the United States end in the digit 9 (69%), while the second most prevalent digit is 5 (12%; ; see Ventura et al., 2025). We conducted a pre-study, analyzing a total of 12,496 prices on Amazon, eBay, and common supermarkets in the U.S. and Germany: this showed considerable prevalence of just-below (66.18%) and round (11.08%), but also precise (22.74%) prices. Using the web scraping method () we extracted price information from U.S. American and German sales homepages. On eBay and Amazon we collected price information for several products (i.e., lamp, toothbrush, backpack, shampoo, sofa, headphones). On the supermarket homepages (i.e., HEB in the U.S., REWE in Germany), we collected price information for products in the categories personal care and grocery. We then coded prices falling into the category of a just-below, precise, or round price. Please see the corresponding project on the Open Science Framework for detailed information on the web scraping process: https://osf.io/cgke2).

3.^A recent review of this literature established that the vast majority of prior studies were not preregistered and based on comparably small sample sizes (Troll et al., 2024). Consequently, publication bias analyses suggest the presence of small study effects (and possibly p-hacking) with corrected effect estimates of markedly smaller size and close to null. The authors conclude: “Given that different techniques suggested the presence of publication bias and that corrected effects were smaller and close to null, future pre-registered and high-powered research should examine the robustness of price-ending effects” (p. 321).

4.^This exclusion procedure was preregistered before data collection. Reassuringly, robustness analyses including the full sample corroborated the results of our analyses (see Tables S18–S19 in the SOM for the full comparison).

5.^We conducted exploratory factor analysis (EFA) with principle-axis factor extraction on the price image items of each product separately. These analyses consistently suggested one factorial solutions with eigenvalues>2.14 that explained minimally 53.53% of the total variance and showed consistently high factor loadings ranging from .474 to .884.

6.^Again, EFAs on the quality image items of each product consistently suggested one factorial solutions with eigenvalues>2.15, uniformly high factor loadings ranging from .795 to .924, and explaining minimally 71.65% of the total variance.

7.^Reassuringly, robustness analyses including the full sample corroborated the results of our analyses and all decisions were the same with and without excluding outliers (see Tables S18–S19).

8.^Again, EFAs with principle-axis factor extraction consistently suggested one factorial solutions with eigenvalues > 2.04 (price image) and > 2.24 (quality image), medium to high factor loadings ranging from .329<λ<.904 (price image) and .815<λ<.922 (quality image), explaining minimally 50.97% (price) and 74.56% (quality image) of the total variance.

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Summary

Keywords

just-below prices, precise prices, price endings, pricing, round prices

Citation

Escher YA, Troll ES, Henjes M-L and Loschelder DD (2026) How consumers evaluated precise, just-below, and round prices: evidence from two high-powered, preregistered experiments. Front. Behav. Econ. 5:1828446. doi: 10.3389/frbhe.2026.1828446

Received

11 March 2026

Revised

22 April 2026

Accepted

04 May 2026

Published

12 June 2026

Volume

5 - 2026

Edited by

Emin Karagözoğlu, Bilkent University, Türkiye

Reviewed by

Francisco Guzman, Monterrey Institute of Technology and Higher Education (ITESM), Mexico

Gustavo Schneider, Salisbury University, United States

Updates

Copyright

*Correspondence: Yannik A. Escher

Disclaimer

All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.

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