78 lines
2.1 KiB
JSON
78 lines
2.1 KiB
JSON
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{
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"tool": "Annual Percentage Yield Calculator",
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"author": "Aisha Henry",
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"location": "Union County, NC",
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"version": "1.0.0",
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"date": "2026-07-18",
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"formula": {
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"id": "Q4118506",
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"wikidata_slug": "annual-percentage-yield",
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"equation": "APY = (1 + i_nom/N)^N - 1",
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"description": "True annual yield accounting for compounding frequency",
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"variables": {
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"APY": {
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"type": "output",
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"unit": "decimal ratio",
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"description": "Annual Percentage Yield (effective annual rate)"
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},
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"i_nom": {
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"type": "input",
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"unit": "decimal ratio",
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"description": "Nominal annual interest rate (e.g., 0.0675 for 6.75%)"
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},
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"N": {
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"type": "input",
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"unit": "count per year",
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"description": "Number of compounding periods per year",
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"common_values": {
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"annually": 1,
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"quarterly": 4,
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"monthly": 12,
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"weekly": 52,
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"daily": 365
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}
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}
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}
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},
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"secondary_formula": {
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"name": "Monthly Mortgage Payment",
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"equation": "M = P × [r(1+r)^n] / [(1+r)^n − 1]",
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"variables": {
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"M": "monthly payment",
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"P": "principal loan amount",
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"r": "monthly interest rate (annual rate / 12)",
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"n": "total number of payments (years × 12)"
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}
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},
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"union_county_context": {
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"median_home_price_usd": 312000,
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"typical_down_payment_percent": 20,
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"first_time_buyer_rate_percent": 3.25,
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"credit_union_partners": ["Union Credit Union", "Fayetteville FCU", "Southeastern FCU"],
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"data_source": "Union County Housing Authority Q2 2026 Report"
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},
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"work_example": {
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"scenario": "Union County first-time buyer, median home",
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"inputs": {
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"nominal_rate_percent": 6.75,
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"compounds_per_year": 12,
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"loan_amount_usd": 249600,
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"term_years": 30
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},
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"outputs": {
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"apy_percent": 6.976,
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"difference_percent": 0.226,
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"total_interest_usd": 331847,
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"total_paid_usd": 581447,
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"monthly_payment_usd": 1615.13
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}
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},
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"license": "CC0-1.0",
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"human_page_url": "https://aisha-henry.4ort.net/apr-calculator.html"
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}
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