In interest calculations, the method that uses a 365-day year for day-count when computing simple interest is called what?
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Ainterest
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Bordinary simple interest
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Cexact simple interest
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DNone of these
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Ecompound exact interest
Answer
Correct Answer: exact simple interest
Explanation
Introduction / Context:Engineering economics distinguishes between different day-count conventions for simple interest. The choice affects the computed interest for partial-year periods and must match contract terms. Two common conventions are the 360-day (banker’s) year and the 365-day (calendar) year.
Given Data / Assumptions:
- Simple interest I = P * i * (days / base_year_days).
- Base year days may be 360 or 365 depending on convention.
- Question asks for the term corresponding to the 365-day basis.
Concept / Approach:
Exact simple interest uses the actual number of days over 365 (or 366 in leap years by some contracts). Ordinary simple interest uses a 360-day year. Correct identification ensures consistent valuation of short-term notes and claims.
Step-by-Step Solution:
Identify 365-day denominator → exact simple interest.Recognize 360-day denominator → ordinary simple interest (not selected).Choose the correct term accordingly.Verification / Alternative check:
Finance references and contract templates state these conventions explicitly; calculators and spreadsheets offer exact/ordinary settings for day-count.
Why Other Options Are Wrong:
- 'interest': Non-specific.
- Ordinary simple interest: 360-day year, not 365.
- Compound exact interest: Not a standard simple-interest term.
Common Pitfalls:
- Mismatched day-count between lender and borrower causing reconciliation issues.
Final Answer:
exact simple interest