Build Accurate Yield Calculation Engine with APR/APY Support

[ykargeee-bit]

Overview

Develop a sophisticated yield calculation engine that accurately computes returns with support for multiple compounding modes (daily, continuous), APR/APY conversions, and yield projections (±0.01% accuracy).

Description

The yield engine powers accurate earnings tracking and reporting. It must handle various compounding schedules, support variable rate changes with time-weighted accrual, and provide projections for yield forecasting.

Direction

• Implement compound interest formulas for daily and continuous compounding modes
• Create open_yield_position() to initialize yield tracking with principal and APR
• Develop accrue_yield() to checkpoint yield calculations to the current timestamp
• Implement current_yield() for real-time yield without state mutations
• Create set_yield_rate() with time-weighted accrual on APR changes
• Implement APR/APY conversion functions with configurable precision
• Develop project_yield() for future earnings estimation

Acceptance Criteria

• Yield calculations accurate to ±0.01% (industry standard)
• Daily compounding: yield = principal × (1 + APR/365)^days
• Continuous compounding: yield = principal × e^(APR × time)
• APR to APY conversions match market standards
• Time-weighted accrual correctly handles rate changes
• Projections estimate future yield with specified accuracy
• Historical yield data is maintained and queryable
• Stress tests verify accuracy under extreme rates and durations