LEGACY EDUCATION ALLIANCE (LEAI) Financials

LEAI

FY2023 annual

Revenue Not reported for FY2023

Net Income -$3.3M -116.9% YoY

EPS (Diluted) Not reported for FY2023

Free Cash Flow Not reported for FY2023

Source SEC Filings (10-K/10-Q) Latest period Q1 FY2024, ended Mar 31, 2024 Reported Jul 17, 2024 Currency USD FYE December

Newest figures come from the 10-K for Q1 FY2024, filed Jul 17, 2024. Each column of the statement tables below links to the filing it was taken from.

This page shows LEGACY EDUCATION ALLIANCE (LEAI) financial statements, including the income statement, balance sheet, cash flow statement, and key financial ratios. View 12 years of annual fundamentals and quarterly data, with year-over-year growth rates and compound annual growth rates (CAGR). All figures are derived from SEC filings (10-K and 10-Q reports).

Rhea AI LEAI FY2023 2026-10-04

Revenue collapsed before FY2022, while recurring cash deficits and liabilities far above assets reveal a financially constrained operating model.

Revenue fell from $75.5M in FY2019 to $1.1M in FY2022, while gross margin narrowed from 20.4% to 37.5% and operating results turned negative. The combination points to shrinking scale without enough cost flexibility, rather than a business simply experiencing slower growth.

Earnings quality weakened materially: FY2020 reported net income of $16.0M alongside operating cash flow of -$7.0M, and cash flow remained negative through FY2022 as losses continued. Positive financing cash flow in FY2021 and FY2022 therefore coincided with ongoing cash demands from operations.

The balance sheet is structurally undercapitalized: by FY2023, total liabilities were $27.8M against only $825K of assets, while the current ratio fell below 0.1x. This means obligations greatly exceed recorded resources, and near-term liabilities are not matched by comparable current assets.

Financial Health Signals

Financial health score not available

LEGACY EDUCATION ALLIANCE does not currently provide enough eligible data for a peer-relative financial health score, so none is published. The metrics below are current.

Key Financial Metrics

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Earnings & Revenue

Revenue

$133K

YoY+84.7%

LEGACY EDUCATION ALLIANCE generated $133K in revenue in Q1 2024. This represents an increase of 84.7% from the same quarter a year earlier.

Net Income

-$786K

YoY+10.5%

LEGACY EDUCATION ALLIANCE reported -$786K in net income in Q1 2024. This represents an increase of 10.5% from the same quarter a year earlier.

EPS (Diluted)

-$0.02

YoY0.0%

LEGACY EDUCATION ALLIANCE earned -$0.02 per diluted share (EPS) in Q1 2024. That is unchanged from the same quarter a year earlier.

EBITDA

Not reported for Q1 2024.

Cash & Balance Sheet

Cash & Debt

$91K

YoY-18.0%

QoQ+111.6%

5Y CAGR-53.0%

10Y CAGR-36.4%

LEGACY EDUCATION ALLIANCE held $91K in cash against $758K in long-term debt as of Q1 2024, with $27.1M of liabilities due within a year.

Shares Outstanding

49M

YoY+29.0%

LEGACY EDUCATION ALLIANCE had 49M shares outstanding in Q1 2024. This represents an increase of 29.0% from the same quarter a year earlier.

Free Cash Flow

Not reported for Q1 2024.

Dividends Per Share

Not reported for Q1 2024.

Margins & Returns

Gross Margin

Not reported for Q1 2024.

Operating Margin

Not shown for Q1 2024: the reported ratio is below -100.0% of revenue, so it does not read as a share of revenue.

Net Margin

Not shown for Q1 2024: the reported ratio is below -100.0% of revenue, so it does not read as a share of revenue.

Return on Equity

Not reported for Q1 2024.

Capital Allocation

None of these metrics is reported for Q1 2024.

LEAI Income Statement

Figures in USD, abbreviated K (thousand), M (million), B (billion), T (trillion). Negative values carry a minus sign and red type. Each change compares the year with the year before it, and each quarter with the same quarter a year earlier.

LEAI quarterly income statement

Metric	FY2310-K	FY2210-K	FY2110-K	FY2010-K	FY1910-K	FY1810-K	FY1710-K	FY1610-K	FY1510-K	FY1410-K	FY1310-K	FY1210-K
Revenue	N/A	$1.1M-85.9%	$7.7M-70.2%	$25.9M-65.7%	$75.5M-0.9%	$76.2M-22.1%	$97.7M+9.6%	$89.2M+2.3%	$87.2M-9.7%	$96.5M+13.4%	$85.1M	N/A
Gross Profit	N/A	$406K-89.3%	$3.8M-78.7%	$17.8M+15.1%	$15.4M+95.5%	$7.9M-59.0%	$19.2M+9.7%	$17.5M+32.6%	$13.2M-43.8%	$23.5M+44.9%	$16.2M	N/A
SG&A Expenses	N/A	$2.6M-36.9%	$4.2M-7.9%	$4.6M-66.9%	$13.8M-16.1%	$16.4M-5.6%	$17.4M+15.6%	$15.1M-7.7%	$16.3M-9.0%	$17.9M+29.7%	$13.8M+139407.7%	$10K
Operating Income	N/A	-$2.2M-440.2%	-$415K-103.1%	$13.2M+702.7%	$1.6M+119.2%	-$8.5M-570.8%	$1.8M-26.6%	$2.5M+179.9%	-$3.1M-155.6%	$5.6M+132.2%	$2.4M	N/A
EBITDA	N/A	-$2.2M-445.5%	-$411K-103.1%	$13.3M+634.0%	$1.8M+121.4%	-$8.4M-534.9%	$1.9M-26.0%	$2.6M+190.0%	-$2.9M-150.3%	$5.8M+116.3%	$2.7M	N/A
Interest Expense	N/A	$453K-13.5%	$524K+149.5%	$210K+125.8%	$93K+132.5%	$40K+344.4%	$9K+80.0%	$5K-28.6%	$7K-81.1%	$37K-79.7%	$182K	N/A
Income Tax	N/A	$58K-91.9%	$716K-75.2%	$2.9M+329.4%	-$1.3M-368.0%	$469K-76.4%	$2.0M+311.4%	-$941K-6373.3%	$15K-75.0%	$60K+113.8%	-$435K	N/A
Net Income	-$3.3M-116.9%	-$1.5M-167.0%	-$566K-103.5%	$16.0M+60.9%	$9.9M+199.9%	-$10.0M-331.8%	$4.3M+10.7%	$3.9M+242.4%	-$2.7M-137.0%	$7.4M+70.1%	$4.3M+43774.3%	-$10K
EPS (Basic)	N/A	-$0.04-100.0%	-$0.02-102.9%	$0.69+60.5%	$0.43+200.0%	-$0.43-326.3%	$0.19+5.6%	$0.18+238.5%	-$0.13-128.9%	$0.45	N/A	N/A
EPS (Diluted)	N/A	-$0.04-100.0%	-$0.02-102.9%	$0.69+64.3%	$0.42+197.7%	-$0.43-338.9%	$0.18+5.9%	$0.17+230.8%	-$0.13-131.0%	$0.42	N/A	N/A
Diluted Shares (Avg)	N/A	35M+21.6%	29M+125543.6%	23,230+0.4%	23,141-99.9%	23M+100586.9%	22,857-99.9%	22M+5.8%	21M+26.4%	17M	N/A	N/A

Metric	Q1'2410-K	Q4'2310-K	Q3'2310-Q	Q2'2310-Q	Q1'2310-Q	Q4'2210-Q	Q3'2210-Q	Q2'2210-Q
Revenue	$133K+84.7%	N/A	N/A	$57K-16.2%	$72K-74.7%	$674K+93.1%	$57K-95.9%	$68K-98.0%
Gross Profit	N/A	N/A	N/A	N/A	-$32K-134.4%	N/A	N/A	N/A
SG&A Expenses	$436K-50.8%	N/A	$760K+31.3%	$540K-18.4%	$886K+36.9%	$759K+21.1%	$579K-50.6%	$662K-52.6%
Operating Income	-$786K+14.5%	N/A	-$824K-34.2%	-$629K+15.9%	-$919K-65.9%	-$326K+66.3%	-$614K+48.7%	-$748K-221.0%
Interest Expense	$1K-98.3%	N/A	$101K-46.3%	$60K-46.4%	$60K-52.0%	$28K	$188K+437.1%	$112K-71.0%
Income Tax	N/A	N/A	$0	$0	N/A	$194K+339.5%	$0+100.0%	$0+100.0%
Net Income	-$786K+10.5%	N/A	-$754K-317.9%	-$666K+22.2%	-$878K-61.7%	-$458K+53.5%	$346K+277.4%	-$856K-336.5%
EPS (Basic)	-$0.020.0%	N/A	-$0.03-400.0%	-$0.02+50.0%	-$0.020.0%	-$0.01+75.0%	$0.01+200.0%	-$0.04-500.0%
EPS (Diluted)	-$0.020.0%	N/A	-$0.03-400.0%	-$0.02	-$0.02	-$0.01+66.7%	$0.01	-$0.04
Diluted Shares (Avg)	40,823+12.1%	N/A	37,868+6.1%	37,868	36,411	N/A	35,696	24,410

Not reported in any period shown, so not listed: Cost of Revenue, R&D Expenses, EBITDA.

LEAI Balance Sheet

LEAI quarterly balance sheet

Metric	FY2310-K	FY2210-K	FY2110-K	FY2010-K	FY1910-K	FY1810-K	FY1710-K	FY1610-K	FY1510-K	FY1410-K	FY1310-K	FY1210-K
Total Assets	$825K-6.3%	$880K-54.2%	$1.9M-69.7%	$6.3M-63.5%	$17.4M-15.6%	$20.6M-23.9%	$27.0M+32.7%	$20.4M-3.6%	$21.1M+19.2%	$17.7M-33.5%	$26.7M	N/A
Current Assets	$708K-2.9%	$729K-60.8%	$1.9M-70.2%	$6.3M-58.7%	$15.2M-17.7%	$18.4M-26.6%	$25.1M+41.3%	$17.7M-10.0%	$19.7M+21.7%	$16.2M-35.6%	$25.1M+61103.1%	$41K
Cash & Equivalents	$43K-61.6%	$112K-80.6%	$576K-61.6%	$1.5M-60.9%	$3.8M+230.7%	$1.2M-80.7%	$6.0M+251.0%	$1.7M-64.9%	$4.9M+66.5%	$2.9M-47.2%	$5.6M+13420.6%	$41K
Short-Term Investments	$0	$0	$0	$0	$0	$0	$0	$0	$0	$0	$0	$0
Inventory	$1K0.0%	$1K0.0%	$1K-90.0%	$10K-78.7%	$47K-14.5%	$55K-83.3%	$330K-5.2%	$348K-29.3%	$492K+205.6%	$161K-20.7%	$203K	N/A
Long-Term Investments	$0	$0	$0	$0	$0	$0	$0	$0	$0	$0	$0	$0
Total Liabilities	$27.8M+16.7%	$23.9M-1.0%	$24.1M-19.6%	$30.0M-47.1%	$56.7M-18.1%	$69.2M+2.1%	$67.8M+8.4%	$62.5M-8.5%	$68.3M+7.0%	$63.9M-21.5%	$81.4M	N/A
Current Liabilities	$26.3M+17.0%	$22.5M+8.6%	$20.7M-25.6%	$27.8M-51.0%	$56.7M-16.5%	$67.9M+2.9%	$66.0M+6.6%	$61.9M-9.2%	$68.2M+7.4%	$63.5M-21.4%	$80.7M+5359461.8%	$2K
Non-Current Liabilities	$1.6M+12.4%	$1.4M-59.1%	$3.4M+57.6%	$2.2M+7951.9%	$27K-98.0%	$1.3M-26.0%	$1.8M+180.6%	$645K+308.2%	$158K-62.0%	$416K-37.1%	$661K	N/A
Long-Term Debt	$758K+35.8%	$558K-71.1%	$1.9M+1.7%	$1.9M+6937.0%	$27K+237.5%	$8K-60.0%	$20K-35.5%	$31K-26.2%	$42K-19.2%	$52K-87.8%	$427K	N/A
Total Equity	-$27.0M-17.6%	-$23.0M-3.6%	-$22.2M+6.1%	-$23.6M+40.0%	-$39.4M+19.1%	-$48.7M-19.4%	-$40.8M+3.3%	-$42.2M+10.7%	-$47.2M-2.3%	-$46.2M+15.6%	-$54.7M-138369.5%	$40K
Retained Earnings	-$40.6M-7.8%	-$37.7M-4.2%	-$36.2M-1.6%	-$35.6M+31.0%	-$51.6M+16.2%	-$61.6M-19.3%	-$51.6M+7.7%	-$55.9M+6.5%	-$59.8M-4.8%	-$57.1M+11.4%	-$64.4M-617822.9%	-$10K

Metric	Q1'2410-K	Q4'2310-K	Q3'2310-Q	Q2'2310-Q	Q1'2310-Q	Q4'2210-Q	Q3'2210-Q	Q2'2210-Q
Total Assets	$873K-3.4%	$825K-6.3%	$920K+18.3%	$847K+7.2%	$904K-10.1%	$880K-54.2%	$778K-64.2%	$790K-76.9%
Current Assets	$756K-1.8%	$708K-2.9%	$803K+8.5%	$731K-2.0%	$770K-19.3%	$729K-60.8%	$740K-64.9%	$746K-77.7%
Cash & Equivalents	$91K-18.0%	$43K-61.6%	$129K+248.6%	$72K+260.0%	$111K-27.5%	$112K-80.6%	$37K-94.6%	$20K-98.5%
Short-Term Investments	$0	$0	$0	$0	$0	$0	$0	$0
Inventory	$1K0.0%	$1K0.0%	$1K0.0%	$1K0.0%	$1K0.0%	$1K0.0%	$1K0.0%	$1K-90.0%
Long-Term Investments	$0	$0	$0	$0	$0	$0	$0	$0
Total Liabilities	$28.7M+11.1%	$27.8M+16.7%	$27.4M+18.1%	$26.5M+11.6%	$25.8M+8.2%	$23.9M-1.0%	$23.2M-1.9%	$23.7M-7.5%
Current Liabilities	$27.1M+10.9%	$26.3M+17.0%	$25.9M+28.3%	$25.1M+28.4%	$24.4M+18.8%	$22.5M+8.6%	$20.2M-0.5%	$19.5M-17.5%
Non-Current Liabilities	$1.6M+13.4%	$1.6M+12.4%	$1.6M-48.9%	$1.4M-67.1%	$1.4M-57.9%	$1.4M-59.1%	$3.1M-10.1%	$4.2M+114.0%
Long-Term Debt	$758K+35.8%	$758K+35.8%	$758K-56.4%	$558K-80.4%	$558K-71.5%	$558K-71.1%	$1.7M-8.8%	$2.8M+49.5%
Total Equity	-$27.8M-11.6%	-$27.0M-17.6%	-$26.5M-18.0%	-$25.6M-11.8%	-$24.9M-9.0%	-$23.0M-3.6%	-$22.5M-4.4%	-$22.9M-3.3%
Retained Earnings	-$41.4M-7.4%	-$40.6M-7.8%	-$40.0M-7.4%	-$39.2M-4.4%	-$38.6M-5.0%	-$37.7M-4.2%	-$37.2M-5.8%	-$37.6M-7.4%

Not reported in any period shown, so not listed: Accounts Receivable, Goodwill.

LEAI Cash Flow Statement

LEAI quarterly cash flow statement

Metric	FY2310-K	FY2210-K	FY2110-K	FY2010-K	FY1910-K	FY1810-K	FY1710-K	FY1610-K	FY1510-K	FY1410-K	FY1310-K	FY1210-K
Operating Cash Flow	N/A	-$4.0M+16.7%	-$4.8M+30.6%	-$7.0M-38794.4%	$18K+101.3%	-$1.4M-128.1%	$5.1M+424.0%	-$1.6M-156.2%	$2.8M+268.3%	-$1.7M-132.6%	$5.1M+60406.7%	-$8K
Depreciation & Amortization	N/A	$0-100.0%	$4K-93.2%	$59K-63.6%	$162K+48.6%	$109K-12.8%	$125K-14.4%	$146K-21.1%	$185K-14.4%	$216K-21.7%	$276K	N/A
Stock-Based Compensation	N/A	$56K-54.1%	$122K+430.4%	$23K-72.0%	$82K-51.8%	$170K-24.8%	$226K+34.5%	$168K+166.7%	$63K+186.4%	$22K-65.6%	$64K	N/A
Capital Expenditures	N/A	N/A	N/A	N/A	$192K-60.7%	$488K+169.6%	$181K+229.1%	$55K-32.1%	$81K-56.7%	$187K+10.7%	$169K	N/A
Free Cash Flow	N/A	N/A	N/A	N/A	-$174K+90.9%	-$1.9M-139.1%	$4.9M+401.8%	-$1.6M-159.9%	$2.7M+246.8%	-$1.8M-137.5%	$4.9M	N/A
Investing Cash Flow	N/A	N/A	N/A	$2.9M+8360.0%	-$35K+95.7%	-$819K-352.5%	-$181K-229.1%	-$55K+32.1%	-$81K+56.7%	-$187K-11.3%	-$168K	N/A
Financing Cash Flow	N/A	$1.9M-38.2%	$3.1M+121.6%	$1.4M+20100.0%	-$7K-101.4%	$489K+4545.5%	-$11K-10.0%	-$10K-102.2%	$450K+233.1%	-$338K+74.3%	-$1.3M-2757.1%	$49K
Share Buybacks	N/A	N/A	N/A	N/A	N/A	N/A	N/A	N/A	N/A	$10K	N/A	N/A

Metric	Q1'2410-K	Q4'2310-K	Q3'2310-Q	Q2'2310-Q	Q1'2310-Q	Q4'2210-Q	Q3'2210-Q	Q2'2210-Q
Operating Cash Flow	$23K+111.5%	N/A	-$498K+40.6%	-$250K+79.8%	-$200K+82.4%	-$813K-44.7%	-$838K-1.0%	-$1.2M+37.8%
Stock-Based Compensation	$0-100.0%	N/A	$4K-70.4%	$4K-91.6%	$4K0.0%	N/A	$14K-72.5%	$50K+60.0%
Financing Cash Flow	$25K-95.5%	N/A	$555K-26.3%	$211K-33.4%	$552K+7985.7%	$853K+175.2%	$753K+53.0%	$317K-83.5%

Not reported in any period shown, so not listed: Depreciation & Amortization, Capital Expenditures, Free Cash Flow, Investing Cash Flow, Dividends Paid, Share Buybacks.

LEAI Financial Ratios

Margins and returns are percentages; the remaining ratios are unitless multiples. Each change compares the year with the year before it, and each quarter with the same quarter a year earlier.

LEAI quarterly financial ratios

Metric	FY2310-K	FY2210-K	FY2110-K	FY2010-K	FY1910-K	FY1810-K	FY1710-K	FY1610-K	FY1510-K	FY1410-K	FY1310-K	FY1210-K
Gross Margin	N/A	37.5%-11.6pp	49.0%-19.5pp	68.5%+48.1pp	20.4%+10.1pp	10.4%-9.3pp	19.7%0.0pp	19.7%+4.5pp	15.2%-9.2pp	24.4%+5.3pp	19.1%	N/A
Operating Margin	N/A	-206.8%	-5.4%-56.3pp	50.9%+48.8pp	2.2%+13.4pp	-11.2%-13.1pp	1.9%-0.9pp	2.8%+6.3pp	-3.5%-9.3pp	5.8%+3.0pp	2.8%	N/A
Net Margin	N/A	-139.4%	-7.3%-69.1pp	61.8%+48.6pp	13.2%+26.3pp	-13.1%-17.5pp	4.4%+0.1pp	4.3%+7.5pp	-3.1%-10.8pp	7.6%+2.5pp	5.1%	N/A
Return on Equity	N/A	N/A	N/A	N/A	N/A	N/A	N/A	N/A	N/A	N/A	N/A	-25.1%
Return on Assets	-397.3%-225.6pp	-171.7%-142.2pp	-29.5%-281.8pp	252.3%+195.0pp	57.3%+105.7pp	-48.4%-64.3pp	15.9%-3.2pp	19.1%+32.0pp	-12.9%-54.4pp	41.5%+25.3pp	16.2%	N/A
Current Ratio	0.030.0x	0.03-0.1x	0.09-0.1x	0.230.0x	0.270.0x	0.27-0.1x	0.38+0.1x	0.290.0x	0.290.0x	0.26-0.1x	0.31-27.0x	27.28
Asset Turnover	N/A	1.23-2.8x	4.01-0.1x	4.08-0.3x	4.35+0.6x	3.70+0.1x	3.62-0.8x	4.38+0.3x	4.13-1.3x	5.44+2.3x	3.19	N/A
FCF Margin	N/A	N/A	N/A	N/A	-0.2%+2.3pp	-2.5%-7.5pp	5.0%+6.8pp	-1.8%-4.9pp	3.1%+5.0pp	-1.9%-7.7pp	5.8%	N/A

Metric	Q1'2410-K	Q4'2310-K	Q3'2310-Q	Q2'2310-Q	Q1'2310-Q	Q4'2210-Q	Q3'2210-Q	Q2'2210-Q
Gross Margin	N/A	N/A	N/A	N/A	-44.4%-77.1pp	N/A	N/A	N/A
Operating Margin	-591.0%	N/A	N/A	-1103.5%	-1276.4%	-48.4%	-1077.2%	-1100.0%
Net Margin	-591.0%	N/A	N/A	-1168.4%	-1219.4%	-68.0%	607.0%	-1258.8%
Return on Assets	-90.0%+7.1pp	N/A	-82.0%-126.4pp	-78.6%+29.7pp	-97.1%-43.1pp	-52.0%-0.7pp	44.5%+53.4pp	-108.3%-118.9pp
Current Ratio	0.030.0x	0.030.0x	0.030.0x	0.030.0x	0.030.0x	0.03-0.1x	0.04-0.1x	0.04-0.1x
Asset Turnover	0.15+0.1x	N/A	-0.02-0.1x	0.070.0x	0.08-0.2x	0.77+0.6x	0.07-0.6x	0.09-0.9x

Not reported in any period shown, so not listed: Return on Equity, Debt-to-Equity, FCF Margin.

Reported as filed but not readable as a share of revenue in the periods where the ratio runs further from zero than a revenue base allows; no change figure is given where either compared period is one of those: Operating Margin, Net Margin.

Note: Shareholder equity is negative (-$27.0M), which causes debt-to-equity and return on equity ratios to appear negative or not meaningful. This can occur from accumulated losses or large share buyback programs.

Note: The current ratio is below 1.0 (0.03), indicating current liabilities exceed current assets, which may suggest potential short-term liquidity concerns.

Similar Companies

Newest fiscal year on record for each company. The health score is the peer-relative Financial Health Score for that year; a dash means no score is published for it.

Company	Fiscal year	Revenue	Net income	Net margin	Market cap	Health score
LEGACY EDUCATION ALLIANCE LEAI	FY2023	N/A	-$3.3M	N/A	$10K	—
PCS EDVENTURES INC NEW PCSV	FY2026	$6.3M	$253K	4.0%	$13.8M	—
ASPEN GROUP INC ASPU	FY2022	$76.7M	-$9.6M	-12.5%	$8.3M	—

Where LEGACY EDUCATION ALLIANCE Ranks

Frequently Asked Questions

Is LEGACY EDUCATION ALLIANCE profitable?

No, LEGACY EDUCATION ALLIANCE (LEAI) reported a net income of -$3.3M in fiscal year 2023.

How much debt does LEGACY EDUCATION ALLIANCE have?

As of fiscal year 2023, LEGACY EDUCATION ALLIANCE (LEAI) had $43K in cash and equivalents against $758K in long-term debt.

What are LEGACY EDUCATION ALLIANCE's total assets?

LEGACY EDUCATION ALLIANCE (LEAI) had $825K in total assets as of fiscal year 2023, including both current and long-term assets.

What is LEGACY EDUCATION ALLIANCE's current ratio?

LEGACY EDUCATION ALLIANCE (LEAI) had a current ratio of 0.03 as of fiscal year 2023, which is below 1.0, which may suggest potential liquidity concerns.

What is LEGACY EDUCATION ALLIANCE's return on assets (ROA)?

LEGACY EDUCATION ALLIANCE (LEAI) had a return on assets of -397.3% for fiscal year 2023, measuring how efficiently the company uses its assets to generate profit.

Why is LEGACY EDUCATION ALLIANCE's debt-to-equity ratio negative or not reported?

LEGACY EDUCATION ALLIANCE (LEAI) has negative shareholder equity of -$27.0M as of fiscal year 2023, so no debt-to-equity ratio is reported: dividing debt by equity that is not positive produces a number that cannot be read as leverage. This can occur when accumulated losses exceed invested capital, or after large share buyback programs. Other solvency metrics like the current ratio or interest coverage may be more informative.