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ludmilkaskok [199]
3 years ago
9

Find the future values of these ordinary annuities. Compounding occurs once a year. Round your answers to the nearest cent. $200

per year for 10 years at 12%. $ 621.17 $100 per year for 5 years at 6%. $ $1,000 per year for 2 years at 0%. $ Rework previous parts assuming that they are annuities due. Round your answers to the nearest cent. $200 per year for 10 years at 12%. $ $100 per year for 5 years at 6%. $ $1,000 per year for 2 years at 0%. $
Business
1 answer:
PIT_PIT [208]3 years ago
4 0

Answer:

Normal:

$ 3,509.7470

$    563.7093

$ 2,000.00

Due:    

 $3,930.9167

 $   597.5319

 $ 2,000.00

Explanation:

We solve using the formula for common annuity and annuity-due on each case:

C \times \frac{(1+r)^{time} }{rate} = FV\\

C \times \frac{(1+r)^{time} }{rate}(1+rate) = FV\\ (annuity-due)

<u>First:</u>

C 200.00

time 10

rate 0.12

200 \times \frac{11+0.12)^{10} }{0.12} = FV\\

200 \times \frac{11+0.12)^{10} }{0.12}(1+0.12) = FV\\

Normal:  $3,509.7470

Due:       $3,930.9167

<u>Second:</u>

100 \times \frac{(1+0.06)^{5} }{0.06} = FV\\

100 \times \frac{(1+0.06)^{5} }{0.06} (1+0.06)= FV\\

$563.7093

$597.5319

<u>Third:</u>

No interest so no time value of money the future value is the same as the sum of the receipts regardless of time or being paid at the beginning or ending.

1,000  + 1,000 = 2,000

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The main purpose of logistics system is to increase the experience of the customer  and to improve profits of the organization. Reducing the cost of inventory may add to the profits of the company.

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