數學題persent value

2007-12-10 6:31 am
May except that she needs a total of $10000 in 1 year and $25000 at the end of the 3rd year and plans to deposit a sum of saving in the bank today in order to meeting the future cash requirment. if interest rate is quoted at 5.5% p.a. compounded quarterly, for any term of deposit, how much should May put into the bank today???

回答 (1)

2007-12-10 7:15 am
✔ 最佳答案
PV = 10000/(1+.055/4)^4 + 25000/(1+0.055/4)^12
= 30689.58

Projected cash flows illustrated below:

Quarter Cash on hand
030689.58
131111.56
231539.35
331973.014
432412.64 - 10000 = 22412.64
522720.82
623033.23
723349.93
823671.00
923996.47
1024326.42
1124660.91
1225000 - 25000 = 0


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