Lump sum: $10,000.00
Gross return: 7.00%
Years: 20.00
Index fund expense ratio: 0.10%
ETF expense ratio: 0.03%
Bid-ask spread: 0.05%
Index fund future value: $37,979.93
ETF future value: $38,461.19
Gap: $481.26
Winner: ETF wins
Verdict: ETF wins by $481.26 — $38,461.19 against $37,979.93 after 20.00 years at 7.00%
Branch: 10 years: Index fund $19,488.44; ETF $19,606.62; ETF wins by $118.18
Branch: 30 years: Index fund $74,016.95; ETF $75,447.12; ETF wins by $1,430.18
Branch: 5% return: Index fund $26,032.13; ETF $26,368.58; ETF wins by $336.45
Branch: 10% return: Index fund $66,062.32; ETF $66,875.54; ETF wins by $813.22
Branch: $50,000 lump sum: Index fund $189,899.63; ETF $192,305.95; ETF wins by $2,406.32
Branch: $1,000 lump sum: Index fund $3,797.99; ETF $3,846.12; ETF wins by $48.13
Branch: 0.20% fund expense ratio: Index fund $37,275.64; ETF $38,461.19; ETF wins by $1,185.55
Branch: 0.03% fund expense ratio: Index fund $38,480.43; ETF $38,461.19; Index fund wins by $19.24
Branch: 0.20% spread: Index fund $37,979.93; ETF $38,403.47; ETF wins by $423.54
Branch: 1 year: Index fund $10,690.00; ETF $10,691.65; ETF wins by $1.65
Reverse: Largest spread for the ETF to win in 1 year: 0.06%
Reverse: Largest spread for the ETF to win in 1 year (rounded): 0.06%
At 0.06% the figures are: Index fund $10,690.00 (unrounded 10690.000000); ETF $10,690.58 (unrounded 10690.581800); ETF wins by $0.58 (unrounded 0.581800)
At the lower neighbor the figures are: Index fund $10,690.00 (unrounded 10690.000000); ETF $10,689.51 (unrounded 10689.512100); Index fund wins by $0.49 (unrounded 0.487900)
At the upper neighbor the figures are: Index fund $10,690.00 (unrounded 10690.000000); ETF $10,691.65 (unrounded 10691.651500); ETF wins by $1.65 (unrounded 1.651500)
Reverse verdict: STEP
Reverse: Smallest years for the ETF advantage to REACH at least $100: 10 years
Reverse: Smallest years for the ETF advantage to REACH at least $100 (rounded): 10 years
At 10 years the figures are: Index fund $19,488.44 (unrounded 19488.438912); ETF $19,606.62 (unrounded 19606.621116); ETF wins by $118.18 (unrounded 118.182205)
At the lower neighbor the figures are: Index fund $18,230.53 (unrounded 18230.532191); ETF $18,329.08 (unrounded 18329.083964); ETF wins by $98.55 (unrounded 98.551774)
At the upper neighbor the figures are: Index fund $20,833.14 (unrounded 20833.141197); ETF $20,973.20 (unrounded 20973.202608); ETF wins by $140.06 (unrounded 140.061412)
Reverse verdict: STEP
Reverse: Smallest fund expense ratio for the ETF to win in 20 years: 0.04%
Reverse: Smallest fund expense ratio for the ETF to win in 20 years (rounded): 0.04%
At 0.04% the figures are: Index fund $38,408.55 (unrounded 38408.547620); ETF $38,461.19 (unrounded 38461.189755); ETF wins by $52.64 (unrounded 52.642135)
At the lower neighbor the figures are: Index fund $38,480.43 (unrounded 38480.429970); ETF $38,461.19 (unrounded 38461.189755); Index fund wins by $19.24 (unrounded 19.240215)
At the upper neighbor the figures are: Index fund $38,336.79 (unrounded 38336.792847); ETF $38,461.19 (unrounded 38461.189755); ETF wins by $124.40 (unrounded 124.396908)
Reverse verdict: STEP
Reverse: Largest ETF expense ratio for the ETF to still win in 20 years: 0.09%
Reverse: Largest ETF expense ratio for the ETF to still win in 20 years (rounded): 0.09%
At 0.09% the figures are: Index fund $37,979.93 (unrounded 37979.925121); ETF $38,032.02 (unrounded 38032.019704); ETF wins by $52.09 (unrounded 52.094582)
At the lower neighbor the figures are: Index fund $37,979.93 (unrounded 37979.925121); ETF $37,960.94 (unrounded 37960.935159); Index fund wins by $18.99 (unrounded 18.989963)
At the upper neighbor the figures are: Index fund $37,979.93 (unrounded 37979.925121); ETF $38,103.23 (unrounded 38103.230692); ETF wins by $123.31 (unrounded 123.305571)
Reverse verdict: STEP
Reverse: Smallest lump sum for the ETF advantage to REACH at least $100 in 20 years: $2,100
Reverse: Smallest lump sum for the ETF advantage to REACH at least $100 in 20 years (rounded): $2,100
At $2,100 the figures are: Index fund $7,975.78 (unrounded 7975.784275); ETF $8,076.85 (unrounded 8076.849849); ETF wins by $101.07 (unrounded 101.065573)
At the lower neighbor the figures are: Index fund $7,595.99 (unrounded 7595.985024); ETF $7,692.24 (unrounded 7692.237951); ETF wins by $96.25 (unrounded 96.252927)
At the upper neighbor the figures are: Index fund $8,355.58 (unrounded 8355.583527); ETF $8,461.46 (unrounded 8461.461746); ETF wins by $105.88 (unrounded 105.878219)
Reverse verdict: STEP
Reverse: Smallest years for the ETF to beat the fund with a 0.50% spread: 8 years
Reverse: Smallest years for the ETF to beat the fund with a 0.50% spread (rounded): 8 years
At 8 years the figures are: Index fund $17,053.82 (unrounded 17053.818700); ETF $17,057.64 (unrounded 17057.644036); ETF wins by $3.83 (unrounded 3.825336)
At the lower neighbor the figures are: Index fund $15,953.06 (unrounded 15953.057718); ETF $15,946.19 (unrounded 15946.194294); Index fund wins by $6.86 (unrounded 6.863424)
At the upper neighbor the figures are: Index fund $18,230.53 (unrounded 18230.532191); ETF $18,246.56 (unrounded 18246.561825); ETF wins by $16.03 (unrounded 16.029635)
Reverse verdict: STEP
Edge: 0 years: Index fund $10,000.00; ETF $9,995.00; Index fund wins by $5.00
Edge: 0% return: Index fund $9,801.89 (unrounded 9801.888648); ETF $9,935.20 (unrounded 9935.200607); ETF wins by $133.31 (unrounded 133.311959)
Edge: $0 lump sum: Index fund $0.00; ETF $0.00; Tie
Edge: 0% spread: Index fund $37,979.93 (unrounded 37979.925121); ETF $38,480.43 (unrounded 38480.429970); ETF wins by $500.50 (unrounded 500.504849)
Edge: Equal expense ratios, 0.10% each: Index fund $37,979.93 (unrounded 37979.925121); ETF $37,960.94 (unrounded 37960.935159); Index fund wins by $18.99 (unrounded 18.989963)
Edge: 40 years: Index fund $144,247.47 (unrounded 144247.471222); ETF $148,000.31 (unrounded 148000.311893); ETF wins by $3,752.84 (unrounded 3752.840672)
Edge: $100,000 lump sum: Index fund $379,799.25 (unrounded 379799.251213); ETF $384,611.90 (unrounded 384611.897551); ETF wins by $4,812.65 (unrounded 4812.646338)
Edge: Fractional inputs $12,345.67, 6.75%, 17.5 years (fund unrounded 37966.828908, gap unrounded 490.042896): Index fund $37,966.83 (unrounded 37966.828908); ETF $38,456.87 (unrounded 38456.871804); ETF wins by $490.04 (unrounded 490.042896)
Edge: 12% return: Index fund $94,754.91 (unrounded 94754.911553); ETF $95,899.50 (unrounded 95899.504365); ETF wins by $1,144.59 (unrounded 1144.592812)
Edge: 0.50% fund expense ratio: Index fund $35,236.45 (unrounded 35236.450635); ETF $38,461.19 (unrounded 38461.189755); ETF wins by $3,224.74 (unrounded 3224.739120)
Edge: 1 year: Index fund $10,690.00; ETF $10,691.65 (unrounded 10691.651500); ETF wins by $1.65 (unrounded 1.651500)
10 years: Index fund $19,488.44; ETF $19,606.62; ETF wins by $118.18.
30 years: Index fund $74,016.95; ETF $75,447.12; ETF wins by $1,430.18.
5% return: Index fund $26,032.13; ETF $26,368.58; ETF wins by $336.45.
10% return: Index fund $66,062.32; ETF $66,875.54; ETF wins by $813.22.
$50,000 lump sum: Index fund $189,899.63; ETF $192,305.95; ETF wins by $2,406.32.
$1,000 lump sum: Index fund $3,797.99; ETF $3,846.12; ETF wins by $48.13.
0.20% fund expense ratio: Index fund $37,275.64; ETF $38,461.19; ETF wins by $1,185.55.
0.03% fund expense ratio: Index fund $38,480.43; ETF $38,461.19; Index fund wins by $19.24.
0.20% spread: Index fund $37,979.93; ETF $38,403.47; ETF wins by $423.54.
1 year: Index fund $10,690.00; ETF $10,691.65; ETF wins by $1.65.
Reverse: The largest spread for the ETF to win in 1 year is 0.06%; at 0.06% the figures are Index fund $10,690.00 (unrounded 10690.000000); ETF $10,690.58 (unrounded 10690.581800); ETF wins by $0.58 (unrounded 0.581800); at the upper neighbor the figures are Index fund $10,690.00 (unrounded 10690.000000); ETF $10,689.51 (unrounded 10689.512100); Index fund wins by $0.49 (unrounded 0.487900) — verdict: STEP. Reverse: The smallest years for the ETF advantage to REACH at least $100 is 10 years; at 10 years the figures are Index fund $19,488.44 (unrounded 19488.438912); ETF $19,606.62 (unrounded 19606.621116); ETF wins by $118.18 (unrounded 118.182205); at the lower neighbor the figures are Index fund $18,230.53 (unrounded 18230.532191); ETF $18,329.08 (unrounded 18329.083964); ETF wins by $98.55 (unrounded 98.551774) — verdict: STEP. Reverse: The smallest fund expense ratio for the ETF to win in 20 years is 0.04%; at 0.04% the figures are Index fund $38,408.55 (unrounded 38408.547620); ETF $38,461.19 (unrounded 38461.189755); ETF wins by $52.64 (unrounded 52.642135); at the lower neighbor the figures are Index fund $38,480.43 (unrounded 38480.429970); ETF $38,461.19 (unrounded 38461.189755); Index fund wins by $19.24 (unrounded 19.240215) — verdict: STEP. Reverse: The largest ETF expense ratio for the ETF to still win in 20 years is 0.09%; at 0.09% the figures are Index fund $37,979.93 (unrounded 37979.925121); ETF $38,032.02 (unrounded 38032.019704); ETF wins by $52.09 (unrounded 52.094582); at the upper neighbor the figures are Index fund $37,979.93 (unrounded 37979.925121); ETF $37,960.94 (unrounded 37960.935159); Index fund wins by $18.99 (unrounded 18.989963) — verdict: STEP. Reverse: The smallest lump sum for the ETF advantage to REACH at least $100 in 20 years is $2,100; at $2,100 the figures are Index fund $7,975.78 (unrounded 7975.784275); ETF $8,076.85 (unrounded 8076.849849); ETF wins by $101.07 (unrounded 101.065573); at the lower neighbor the figures are Index fund $7,595.99 (unrounded 7595.985024); ETF $7,692.24 (unrounded 7692.237951); ETF wins by $96.25 (unrounded 96.252927) — verdict: STEP. Reverse: The smallest years for the ETF to beat the fund with a 0.50% spread is 8 years; at 8 years the figures are Index fund $17,053.82 (unrounded 17053.818700); ETF $17,057.64 (unrounded 17057.644036); ETF wins by $3.83 (unrounded 3.825336); at the lower neighbor the figures are Index fund $15,953.06 (unrounded 15953.057718); ETF $15,946.19 (unrounded 15946.194294); Index fund wins by $6.86 (unrounded 6.863424) — verdict: STEP.
Edges: 0 years gives Index fund $10,000.00; ETF $9,995.00; Index fund wins by $5.00. A 0% return gives Index fund $9,801.89 (unrounded 9801.888648); ETF $9,935.20 (unrounded 9935.200607); ETF wins by $133.31 (unrounded 133.311959). A $0 lump sum gives Index fund $0.00; ETF $0.00; Tie. A 0% spread gives Index fund $37,979.93 (unrounded 37979.925121); ETF $38,480.43 (unrounded 38480.429970); ETF wins by $500.50 (unrounded 500.504849). Equal expense ratios give Index fund $37,979.93 (unrounded 37979.925121); ETF $37,960.94 (unrounded 37960.935159); Index fund wins by $18.99 (unrounded 18.989963). 40 years gives Index fund $144,247.47 (unrounded 144247.471222); ETF $148,000.31 (unrounded 148000.311893); ETF wins by $3,752.84 (unrounded 3752.840672). A $100,000 lump sum gives Index fund $379,799.25 (unrounded 379799.251213); ETF $384,611.90 (unrounded 384611.897551); ETF wins by $4,812.65 (unrounded 4812.646338). Fractional inputs give Index fund $37,966.83 (unrounded 37966.828908); ETF $38,456.87 (unrounded 38456.871804); ETF wins by $490.04 (unrounded 490.042896). A 12% return gives Index fund $94,754.91 (unrounded 94754.911553); ETF $95,899.50 (unrounded 95899.504365); ETF wins by $1,144.59 (unrounded 1144.592812). A 0.50% fund expense ratio gives Index fund $35,236.45 (unrounded 35236.450635); ETF $38,461.19 (unrounded 38461.189755); ETF wins by $3,224.74 (unrounded 3224.739120). 1 year gives Index fund $10,690.00; ETF $10,691.65 (unrounded 10691.651500); ETF wins by $1.65 (unrounded 1.651500).