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One account earns interest semi-annually. I. Half-yearly 1000 in advance II. Half-yearly 1000 in arrears III. monthly 2000 in advance IV. monthly 2000 in arrears

One account earns interest semi-annually.

I. Half-yearly 1000 in advance

II. Half-yearly 1000 in arrears

III. monthly 2000 in advance

IV. monthly 2000 in arrears

(a) How much must be deposited at the end of the year to obtain the same account balances of any year for I - IV?

(b) What are the account balances of I - IV after 15 years?

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