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Karolina [17]
3 years ago
14

At an annual effective interest rate of 6.3%, an annuity immediate with 4N level annual payments of 1,000 has a present value of

14,113. Determine the fraction (in percentage) of the total present value represented by the first set of N payments and the third set otâ…£ payments combined.
Business
1 answer:
LuckyWell [14K]3 years ago
8 0

Answer:

$8,949.22

Explanation:

PV = annual payment x PV annuity factor

PV annuity factor = 14,133 / 1,000 = 14.133

PV annuity factor = [1 - 1/(1 + 0.063)ⁿ ] / 0.063

14.133 x 0.063 = 1 - 1/(1 + 0.063)ⁿ

0.890379 = 1 - 1/(1 + 0.063)ⁿ

1/(1 + 0.063)ⁿ = 0.109621

1 / 0.109621 = 1.063ⁿ

9.12234 = 1.063ⁿ

n = log 9.12234 / log 1.063 = 0.96010624 / 0.0265333 = 36

the present value of the first 36/4 = 9 payments = $1,000 x 6.71376 (PV annuity factor, 9 periods, 6.3%) = $6,713.76

the present value of the third set of 9 payments = $6,713.76 / (1 + 6.3%)¹⁸ = $2,235.46

present value of the first and third sets = $8,949.22

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3 years ago
Advertising department expenses of $26,700 and purchasing department expenses of $46,700 of Cozy Bookstore are allocated to oper
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Answer:

The advertising department expense allocated to each department are as follows:

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Magazines Dept = $10,741

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Explanation:

Note: See the attached excel for the completed table used in allocating the expenses of the two service departments (advertising and purchasing) to the three operating departments.

From the attached excel, the advertising department expense allocated to each department are as follows:

Books Dept = $11,748

Magazines Dept = $8,010

Newspapers Dept = $6,942

Totals advertising department expenses allocated = $26,700

From the attached excel, the purchasing department expenses allocated to each department are as follows:

Books Dept = $20,081

Magazines Dept = $10,741

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Download xlsx
7 0
3 years ago
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Answer:

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3 years ago
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