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Question
In an ordinary annuity, payments or receipts occur at ______.
Options
Beginning of each period
End of each period
Mid of each period
Quarterly basis
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Solution
In an ordinary annuity, payments or receipts occur at end of each period.
Explanation:
Payments are made at the conclusion of each period (such as a month, quarter, or year) in an ordinary annuity. Bond interest payments, mortgage payments, and loan payments are typical instances. As a result, payments for an annuity due are made at the start of each period.
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In an ordinary annuity, payments or receipts occur at ______
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For an annuity due, C = ₹ 2000, rate = 16% p.a. compounded quarterly for 1 year
∴ Rate of interest per quarter = `square/4` = 4
⇒ r = 4%
⇒ i = `square/100 = 4/100` = 0.04
n = Number of quarters
= 4 × 1
= `square`
⇒ P' = `(C(1 + i))/i [1 - (1 + i)^-n]`
⇒ P' = `(square(1 + square))/0.04 [1 - (square + 0.04)^-square]`
= `(2000(square))/square [1 - (square)^-4]`
= 50,000`(square)`[1 – 0.8548]
= ₹ 7,550.40
