AAT Paper4 compound interest

2015-04-21 7:01 am
Gandolf has just celebrated his 57th birthday . He has bought a financial product that will start providing him and his family with fixed semi-annual payments forever when he retires at 65. The relevant Yearly discount rate is 8 % compound semi-annually. If the product costs $2,000,000 today, what will be the size of the payments? State the formula that would help you get the answer.

答案系
2,000,000x(1+0.08/2)^15x0.04=$ 144,075.48

唔明點解要15次方 同埋要再乖0.04
唔系應該是 2,000,000 x1+0.08/2)^8 ? 唔系8年咩?

回答 (3)

2015-04-22 5:55 am
參考: Please read the pic
2015-04-24 6:06 am
2,000,000(1.04)n16 我明, 但點解要減2,000,000(1.04)n15??
2015-04-21 7:32 am
15 是因為每半年 compound 一次,你要數 總共 compound 了多少次,又或者說,有多少個「半年」。

要小心年頭年尾的問題~

這題還好,未有 annuity,會暫時容易一點。

如果是複雜的,你可以畫 time line 讓自己清楚情況。


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