Rent: $2,000.00
Home price: $400,000.00
Down payment: 20.00%
Down payment ($): $80,000.00
Annual rate: 6.50%
Horizon: 5.00 years
Appreciation: 3.00%
Rent growth: 3.00%
Monthly payment: $2,022.62
Mortgage balance: $299,555.13
Home value: $463,709.63
Renting cost: $127,419.26
Equity: $164,154.50
Buying cost: $37,202.56
Gap: −$90,216.70
Verdict: Buying wins by $90,216.70
Branch: Horizon 10 years: Renting $275,133.10; buying $56,431.17; buying ahead by $218,701.93
Branch: Horizon 1 year: Renting $24,000.00; buying $8,694.69; buying ahead by $15,305.31
Branch: Horizon 3 years: Renting $74,181.60; buying $24,258.61; buying ahead by $49,922.99
Branch: Appreciation 0%: Renting $127,419.26; buying $100,912.19; buying ahead by $26,507.07
Branch: Appreciation 5%: Renting $127,419.26; buying −$9,600.44; buying ahead by $137,019.70
Branch: Rent $3,000 a month: Renting $191,128.89; buying $37,202.56; buying ahead by $153,926.33
Branch: Rent $1,500 a month: Renting $95,564.44; buying $37,202.56; buying ahead by $58,361.89
Branch: Home $600,000: Renting $127,419.26; buying $55,803.84; buying ahead by $71,615.42
Branch: Down 10%: Renting $127,419.26; buying $49,816.58; buying ahead by $77,602.68
Branch: Rent growth 0%: Renting $120,000.00; buying $37,202.56; buying ahead by $82,797.44
Reverse: Shortest whole years for buying to be ahead by at least $50,000: 4 years
Reverse: Shortest whole years for buying to be ahead by at least $50,000 (rounded): 4 years
At 4 years the figures are: Renting $100,407.05; buying $31,072.76; buying ahead by $69,334.29 (unrounded −69334.291622)
At the lower neighbor the figures are: Renting $74,181.60; buying $24,258.61; buying ahead by $49,922.99 (unrounded −49922.989599)
At the upper neighbor the figures are: Renting $127,419.26; buying $37,202.56; buying ahead by $90,216.70 (unrounded −90216.700836)
Reverse verdict: STEP
Reverse: Largest home price where buying still wins over 5 years: $1,370,005
Reverse: Largest home price where buying still wins over 5 years (rounded): $1,370,005
At $1,370,005 the figures are: Renting $127,419.26; buying $127,419.23; buying ahead by $0.03 (unrounded −0.031191)
At the lower neighbor the figures are: Renting $127,419.26; buying $127,419.32; renting ahead by $0.06 (unrounded 0.061816)
At the upper neighbor the figures are: Renting $127,419.26; buying $127,419.14; buying ahead by $0.12 (unrounded −0.124197)
Reverse verdict: STEP
Reverse: Smallest appreciation where buying still wins over 5 years: -1.36% appreciation
Reverse: Smallest appreciation where buying still wins over 5 years (rounded): -1.36% appreciation
At -1.36% appreciation the figures are: Renting $127,419.26; buying $127,382.34; buying ahead by $36.92 (unrounded −36.917527)
At the lower neighbor the figures are: Renting $127,419.26; buying $127,571.64; renting ahead by $152.38 (unrounded 152.384034)
At the upper neighbor the figures are: Renting $127,419.26; buying $127,192.96; buying ahead by $226.30 (unrounded −226.295867)
Reverse verdict: STEP
Reverse: Largest rent where renting still wins over 5 years: $583 a month rent
Reverse: Largest rent where renting still wins over 5 years (rounded): $583 a month rent
At $583 a month rent the figures are: Renting $37,142.71; buying $37,202.56; renting ahead by $59.84 (unrounded 59.844477)
At the lower neighbor the figures are: Renting $37,206.42; buying $37,202.56; buying ahead by $3.87 (unrounded −3.865153)
At the upper neighbor the figures are: Renting $37,079.00; buying $37,202.56; renting ahead by $123.55 (unrounded 123.554107)
Reverse verdict: STEP
Reverse: Smallest down payment where buying is ahead by at least $80,000 over 5 years: 12% down
Reverse: Smallest down payment where buying is ahead by at least $80,000 over 5 years (rounded): 12% down
At 12% down the figures are: Renting $127,419.26; buying $47,293.78; buying ahead by $80,125.48 (unrounded −80125.482004)
At the lower neighbor the figures are: Renting $127,419.26; buying $48,555.18; buying ahead by $78,864.08 (unrounded −78864.079650)
At the upper neighbor the figures are: Renting $127,419.26; buying $46,032.38; buying ahead by $81,386.88 (unrounded −81386.884358)
Reverse verdict: STEP
Reverse: Largest APR where buying still wins over 5 years: 12.06% APR
Reverse: Largest APR where buying still wins over 5 years (rounded): 12.06% APR
At 12.06% APR the figures are: Renting $127,419.26; buying $127,280.71; buying ahead by $138.55 (unrounded −138.552059)
At the lower neighbor the figures are: Renting $127,419.26; buying $127,118.31; buying ahead by $300.95 (unrounded −300.953247)
At the upper neighbor the figures are: Renting $127,419.26; buying $127,443.11; renting ahead by $23.85 (unrounded 23.848334)
Reverse verdict: STEP
Edge: Rent $0 a month: Renting $0.00; buying $37,202.56; renting ahead by $37,202.56 (unrounded 37202.558604)
Edge: Horizon 0 years: Renting $0.00; buying $0.00; a tie
Edge: Appreciation 0% and rent growth 0%: Renting $120,000.00; buying $100,912.19; buying ahead by $19,087.81 (unrounded −19087.811676)
Edge: Down 100%: Renting $127,419.26; buying −$63,709.63; buying ahead by $191,128.89 (unrounded −191128.889160)
Edge: $2,000,000 home: Renting $127,419.26; buying $186,012.79; renting ahead by $58,593.53 (unrounded 58593.533578)
Edge: Horizon 30 years: Renting $1,141,809.98; buying −$162,762.63; buying ahead by $1,304,572.60 (unrounded −1304572.602364)
Edge: Rent $5,000 a month: Renting $318,548.15; buying $37,202.56; buying ahead by $281,345.59 (unrounded −281345.589996)
Edge: Appreciation −2%: Renting $127,419.26; buying $139,343.87; renting ahead by $11,924.61 (unrounded 11924.610164)
Edge: Down 0%: Renting $127,419.26; buying $62,430.61; buying ahead by $64,988.65 (unrounded −64988.653755)
Edge: $1,999.99 rent, $399,999.99 home, 19.5% down, 6.45% APR, 5.5 years, 2.75% appreciation, 3.25% rent growth (net unrounded −75749.505485): Renting $128,057.01; buying $52,307.50; buying ahead by $75,749.51 (unrounded −75749.505485)
Edge: Horizon 1 year at $2,500 a month rent: Renting $30,000.00; buying $8,694.69; buying ahead by $21,305.31 (unrounded −21305.309399)
Horizon 10 years: Renting $275,133.10; buying $56,431.17; buying ahead by $218,701.93.
Horizon 1 year: Renting $24,000.00; buying $8,694.69; buying ahead by $15,305.31.
Horizon 3 years: Renting $74,181.60; buying $24,258.61; buying ahead by $49,922.99.
Appreciation 0%: Renting $127,419.26; buying $100,912.19; buying ahead by $26,507.07.
Appreciation 5%: Renting $127,419.26; buying −$9,600.44; buying ahead by $137,019.70.
Rent $3,000 a month: Renting $191,128.89; buying $37,202.56; buying ahead by $153,926.33.
Rent $1,500 a month: Renting $95,564.44; buying $37,202.56; buying ahead by $58,361.89.
Home $600,000: Renting $127,419.26; buying $55,803.84; buying ahead by $71,615.42.
Down 10%: Renting $127,419.26; buying $49,816.58; buying ahead by $77,602.68.
Rent growth 0%: Renting $120,000.00; buying $37,202.56; buying ahead by $82,797.44.
Reverse: The shortest whole years for buying to be ahead by at least $50,000 is 4 years; at 4 years the figures are Renting $100,407.05; buying $31,072.76; buying ahead by $69,334.29 (unrounded −69334.291622); at the lower neighbor the figures are Renting $74,181.60; buying $24,258.61; buying ahead by $49,922.99 (unrounded −49922.989599) — verdict: STEP. Reverse: The largest home price where buying still wins over 5 years is $1,370,005; at $1,370,005 the figures are Renting $127,419.26; buying $127,419.23; buying ahead by $0.03 (unrounded −0.031191); at the upper neighbor the figures are Renting $127,419.26; buying $127,419.32; renting ahead by $0.06 (unrounded 0.061816) — verdict: STEP. Reverse: The smallest appreciation where buying still wins over 5 years is -1.36% appreciation; at -1.36% appreciation the figures are Renting $127,419.26; buying $127,382.34; buying ahead by $36.92 (unrounded −36.917527); at the lower neighbor the figures are Renting $127,419.26; buying $127,571.64; renting ahead by $152.38 (unrounded 152.384034) — verdict: STEP. Reverse: The largest rent where renting still wins over 5 years is $583 a month rent; at $583 a month rent the figures are Renting $37,142.71; buying $37,202.56; renting ahead by $59.84 (unrounded 59.844477); at the upper neighbor the figures are Renting $37,206.42; buying $37,202.56; buying ahead by $3.87 (unrounded −3.865153) — verdict: STEP. Reverse: The smallest down payment where buying is ahead by at least $80,000 over 5 years is 12% down; at 12% down the figures are Renting $127,419.26; buying $47,293.78; buying ahead by $80,125.48 (unrounded −80125.482004); at the lower neighbor the figures are Renting $127,419.26; buying $48,555.18; buying ahead by $78,864.08 (unrounded −78864.079650) — verdict: STEP. Reverse: The largest APR where buying still wins over 5 years is 12.06% APR; at 12.06% APR the figures are Renting $127,419.26; buying $127,280.71; buying ahead by $138.55 (unrounded −138.552059); at the upper neighbor the figures are Renting $127,419.26; buying $127,443.11; renting ahead by $23.85 (unrounded 23.848334) — verdict: STEP.
Edges: $0 rent gives Renting $0.00; buying $37,202.56; renting ahead by $37,202.56. 0 years gives Renting $0.00; buying $0.00; a tie. 0% appreciation and 0% rent growth gives Renting $120,000.00; buying $100,912.19; buying ahead by $19,087.81. 100% down gives Renting $127,419.26; buying −$63,709.63; buying ahead by $191,128.89 (unrounded −191128.889160). $2,000,000 home gives Renting $127,419.26; buying $186,012.79; renting ahead by $58,593.53 (unrounded 58593.533578). 30 years gives Renting $1,141,809.98; buying −$162,762.63; buying ahead by $1,304,572.60 (unrounded −1304572.602364). $5,000 a month rent gives Renting $318,548.15; buying $37,202.56; buying ahead by $281,345.59 (unrounded −281345.589996). -2% appreciation gives Renting $127,419.26; buying $139,343.87; renting ahead by $11,924.61 (unrounded 11924.610164). 0% down gives Renting $127,419.26; buying $62,430.61; buying ahead by $64,988.65 (unrounded −64988.653755). $1,999.99 / $399,999.99 / 19.5% down / 6.45% / 5.5 years / 2.75% / 3.25% gives Renting $128,057.01; buying $52,307.50; buying ahead by $75,749.51 (unrounded −75749.505485). 1 year at $2,500 a month rent gives Renting $30,000.00; buying $8,694.69; buying ahead by $21,305.31 (unrounded −21305.309399).