Re: [計量] 請問一個圖表複利計算題

看板GRE (GRE入學考試)作者 ( E L I T E)時間13年前 (2012/08/30 01:50), 編輯推噓3(305)
留言8則, 2人參與, 最新討論串2/2 (看更多)
※ 引述《hankboy ( 身體健康)》之銘言: : 有點看不太懂本題,也不知道運算方式,希望有大大協助,謝謝 : Hannah is planning on buying a jet ski. She will need to borrow some of the money. She created a chart to approximate the amount of her monthly payments. The approximate monthly payment is per $1,000 borrowed. : ------------------------------------------------------------------------------ : Monthly payment per $1,000 borrowed for various annual rates and various numbers of payments. : ---------------------------------------------------------------------------------------------- : Number of monthly payments : Annualk interest rate 36 48 60 : ------------------------------------------------------------------------------ : 5% $28.87 $22.02 $17.77 : 8% $30.24 $23.31 $19.18 : 10% $31.17 $24.35 $20.14 : 12% $32.11 $26.24 $21.14 : ------------------------------------------------------------------------------ 這題不用知道怎麼算利率,只要會查表即可 : 1.Hannah found a used jet ski she is thinking about purchasing. The list : price is $7,495. She calculates that she will need to borrow $5,250. : Approximately what would her monthly payment be if she borrowed the money for : 48 months at an annual interest rate of 10%? : (A) $105.74 : (B) $127.84 : (C) $163.64 : (D) $182.64 : (E) $216.38 : Ans:B 題目說要借5250元,48個月份的貸款,利率10% 表中查得48月份10%貸款每千元要付的利息為24.35 因此借5250元要還的利息為24.35*(5250/1000)=127.84 : 2.A local dealership is having a year clearance sale and is offering 5% : annual interest on new jet ski loans for 36, 48 or 60 months. The maximum : amount Hannah can budget for her monthly jet ski payment is $275. of the : following loan amounts, which one is the maximum Hannah can borrow at 5% : annual interest and stay within her budget? : (A) $10,000 : (B) $13,000 : (C) $14,000 : (D) $15,000 : (E) $20,000 : Ans: D 題目求能貸得的最大金額,即為找利息最低者 5%利率中,以60月期利息最低,為17.77元 能貸得之最大金額為1000*(275/17.77)=15475 答案中小於該金額之最大值為15000 : 3. Another dealership is offering 3-year loans with an annual interest rate : of 11%. hannah uses her chart to estimate the payment per $1,000 borrowed. Of : the following, which is most likely the monthly payment per $1,000 borrowed? : (A) $31,48 : (B) $31,64 : (C) $31,85 : (D) $32,00 : (E) $32.34 : Ans:B 此題要估計三年期,即36月期貸款,在利率11%之利息 可直接求10%利息31.17和12%利息32.11之平均為31.64元 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.112.30.40

08/30 14:24, , 1F
感謝。想再請教,為何第二題是1000*(275/17.7)?
08/30 14:24, 1F

08/30 14:25, , 2F
第三題的平均利息為什麼可以直接(10%+12%)/2?
08/30 14:25, 2F

08/30 14:39, , 3F
第二題,因為他只能負擔275/month.所以最多可以借
08/30 14:39, 3F

08/30 14:42, , 4F
(275/17.7) 個單位,然後單位又是千,所以就乘1000.
08/30 14:42, 4F

08/30 14:43, , 5F
第三題其實就不要想太複雜。但如果你想要解答的話,
08/30 14:43, 5F

08/30 14:45, , 6F
利息和月付額的關係是線性的
08/30 14:45, 6F

08/30 14:45, , 7F
而且這題只是叫你粗估。
08/30 14:45, 7F

08/30 22:02, , 8F
謝謝大大
08/30 22:02, 8F
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