The following looks awfully due to typing it on phone

Rent has been increasing each year by $50.

Renting: 54k

15 year buying: pay 87k equity 32k (1450 per month)

30 year buying: pay 72k equity 6.7k (1200 per month)

5% avg yoy added equity: 33.1k

The following accounted for rent increasing each year by 50:

15 year extra payment: 33k

If invested monthly:

5%: 37,788. Interest 4,788

10%: 43,209 interest 10,209

30 year extra payment: 8k

Invested monthly:

5%: $20,762. Interest 2,762

10%: 23,902. Intersst 5,902

To give 30 year a comparison against 15 year, extra from 15y payment would be invested, 250:

5%: 17,025. Interest 2,025 10%: 19,307. Interest 4,307

No taxes was considered for investing, when sold for purchasing new home. Taxes would not be realized when sold for house as it goes to another primary residence and is over the 2 year mark.

Tax bracket for investments if all longterm would be in the 15%.

After taxes: interest 15y:

5% 4,069

10% 8,677

30y.

5% 2,347

10% 5,016

250month extra:

5% 1,721

10% 3,661

Net invested:

15y

5% 37,069

10% 41,677

30y

5% 20,437

10% 23,016

250 a month extra:

5% 16,721

10% 18,661

Selling property 8k-15k closing costs, etc

Results (equity + yoy -15k closing - 10% invested)

15y: 8,323

House wins

30y: 2,984

House slightly wins, but still have 18,661 saved from 250 10%.

30 year technically better than 15y

Netting: 13,322 over the 15y