Engineering Calculators
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Home Price Comparison
Home Cost Comparison & Opportunity Cost Calculator – Methodology
Overview
This calculator evaluates the true monthly and annual financial impact of purchasing a new home compared to your current housing costs. Unlike basic affordability tools, this calculator incorporates:
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Monthly housing expenses (mortgage, taxes, insurance, HOA, parking)
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Current housing expenses (rent/mortgage, insurance, parking)
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Opportunity cost of savings used for a down payment
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Changes in investment interest income
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Cash-purchase vs. mortgage scenarios
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Fully amortized loan payments based on rate and term
The result is a clear, quantified comparison showing whether the new home will save money or cost more, including the financial impact of lost interest on savings.
1. Current Interest Income From Savings
If you have savings sitting in an interest-bearing account (money market, CD, or high-yield savings), this tool calculates how much income you currently earn each month.
Formula
Current Monthly Interest=(Savings × Annual Interest Rate) / 12
This value represents opportunity cost—income you lose if savings are used as a down payment on the new home.
2. Current Monthly Housing Expenses
Your existing housing expenses are added together to establish a baseline for comparison.
Components
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Rent or current mortgage
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HOA (if applicable)
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Insurance
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Parking
Formula
Current Housing Expenses=Rent/Mtg + Insurance + HOA + Parking
3. New Home Monthly Housing Expenses
When evaluating a new home purchase, the calculator determines ongoing monthly costs based on mortgage financing or cash purchase.
3.1 Mortgage Calculation
If a mortgage is used, the tool computes the fully amortized monthly payment:
Loan Amount
Mortgage Amount=Purchase Price−Down Payment (Savings Applied)
Monthly Payment Formula (Amortized Loan):
M = P × [r (1 + r)^n ] / [(1 + r) ^n − 1]
Where:
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P = loan principal
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r = monthly interest rate (annual rate ÷ 12)
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n = number of monthly payments
3.2 New Housing Expenses
New Housing Expenses=M+Insurance+Taxes+HOA+Parking
If the purchase is a cash purchase, mortgage values default to $0.
4. New Interest Income (Remaining Savings)
After the down payment, any remaining savings continue earning interest. The calculator shows this reduced interest income:
New Monthly Interest=Remaining Savings × Interest Rate / 12
5. Housing Expense Change
This shows whether the new home’s ongoing expenses are more or less than your current housing costs.
Housing Change=New Expenses−Current Expenses
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Negative value = monthly savings
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Positive value = monthly cost increase
6. Lost Interest Income (Opportunity Cost)
When savings are used toward a home purchase, the interest they previously earned disappears.
Lost Interest Income=Current Interest−New Interest
This is a crucial part of evaluating the total cost of a home purchase.
7. Total Net Monthly & Annual Impact
The calculator combines the change in housing costs with the change in interest income to determine the true financial impact.
Net Monthly Impact
Net Monthly Impact = Housing Change + Lost Interest Income
Net Annual Impact
Net Annual Impact=Net Monthly Impact×12
This final number tells you whether the new home will save money or cost more, accounting for both cash flow and opportunity cost.
Example (Sample Calculation)
If:
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New housing expenses are $332 less per month, but
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Lost interest income is $4,455 more per month,
Then:
Net Monthly Impact=−$332.43 + $4,455 = $4,122.57
The new home costs approximately:
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$4,122.57 more per month
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$49,470.84 more per year
