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anymous anymous
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Posts: 134
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10 months ago
Two debt payments of $2000 each are due now and nine months from now. If money is worth 8%, what single payment six months from now is required to settle the debt?

▸ $4042.34

▸ $7177.27

▸ $6127.48

▸ $3600.00

▸ $4040.78
Textbook 
Business Mathematics in Canada

Business Mathematics in Canada


Edition: 11th
Authors:
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careytrancareytran
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10 months ago
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Anonymous
wrote...
9 months ago
Help! The answer is missing an explanation...
Anonymous
wrote...
9 months ago
I think it is done like this:

The ans is option (c) 4042.34

Step1 :-

Pv1 = 2000 (today)

Fv2 = 2000 ( 9 months from now )

Interest yearly = IY = 8 %

Step2:-

Due date for all = 6 months from today

Step 3 :- interest rate monthly = i = 8/1200

Step4:- time interval n1 = 6 month = 12×6/12 = 6

Time interval n2 = 9-6 = 3 months = 12×3/12=3

Step 5 :- FV1 = 2000(1+8/1200)^6 = 2081.345

Pv2 = 2000(1-8/1200)^3 = 1960.5275

Step 6 :- the single payment from 6 months from now = Fv1+ pv2 = 2081.345+1960.5275 = 4041.867 ≈ 4042 (approx)
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