fix: preserve payment identity in first annuity-due period - #77
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Signed-off-by: kadyrbekovhamit-cyber <288885044+kadyrbekovhamit-cyber@users.noreply.github.com>
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Summary
pmt = ipmt + ppmt, vectorizedppmt, and full-termcumprincProblem
ipmtcorrectly returns zero interest for period 1 when payment is at the beginning, butppmtstill applies the ordinary annuity-due formula. This breaks the documented payment identity and leaves a residual principal balance.The first payment happens at time zero, so it carries no interest and its entire amount is principal. The corrected
ppmtis thereforepmt(...).Validation
cargo test --release: 238 passedcargo test --release --features nonumpy: 227 passed, 10 ignoredcargo fmt --check-80.66311413640034 !~= -85.63823851450982