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A California property was purchased in 2020 for $700,000. Under Proposition 13, the assessed value has increased by the maximum 2% each year. What is the assessed value of the property in 2025 (after 5 years of 2% annual increases)?

Correct Answer

B) $772,857

Step 1: Apply 2% compound increase for 5 years. Step 2: Year 1 (2021): $700,000 × 1.02 = $714,000. Year 2 (2022): $714,000 × 1.02 = $728,280. Year 3 (2023): $728,280 × 1.02 = $742,846. Year 4 (2024): $742,846 × 1.02 = $757,703. Year 5 (2025): $757,703 × 1.02 = $772,857 (rounded). Alternatively: $700,000 × (1.02)^5 = $700,000 × 1.10408 = $772,857.

Answer Options
A
$770,000
B
$772,857
C
$773,000
D
$750,000

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Related Topics & Key Terms

Key Terms:

Prop_13assessed_valuecompound_increasemath2_percent_cap

Related Concepts

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