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April 20, 2014

April 20, 2014

Posted by **Anonymous** on Tuesday, November 27, 2007 at 9:52am.

How much money must be deposited now, at 6% interest compounded semiannually to yield an annuity payment of $4,000 at tha beginning of each six-month period,for a total of five years? Round your answer to the nearest cent.

A. $38,120.80

B. $35,144.44

C. $29,440.36

My answer is D

- Math -
**Anonymous**, Tuesday, November 27, 2007 at 10:03amYou say your answer is D, but don't show a "D"

If you did

Present Value = 4000(1 - 1.03^(-10)/.03

= 34120.81

then you were correct.

- Math recheck answer -
**Alarena**, Tuesday, November 27, 2007 at 10:23amI mean I got $29,440.36

The only choice I have are $38,120.80

35,144.44 0r $29,440.36

- Math recheck answer -
- Math -
**tchrwill**, Tuesday, November 27, 2007 at 10:51amHow much money must be deposited now, at 6% interest compounded semiannually to yield an annuity payment of $4,000 at tha beginning of each six-month period,for a total of five years? Round your answer to the nearest cent.

A. $38,120.80

B. $35,144.44

C. $29,440.36

My answer is D

Not knowing what D is, it is difficult to assess whether you are correct or not.

Since the payments are made at the "beginning" of each 6 month period, the formula must be adjusted to

P = R + R[1 - (1+i)^n] where i = .o6/2 = .03 and n = 1 period less than 5(2) = 9.

Therefore, P = 4000 + 4000[1-(1.03)^-9]/i = $35,144.44 making B your correct choice.

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