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quester [9]
3 years ago
9

Mr. Hopper expects to retire in 25 years, and he wishes to accumulate $750,000 in his retirement fund by that time. If the inter

est rate is 10% per year, how much should Mr. Hopper put into his retirement fund each year in order to achieve this goal? (Assume that he will deposit the same amount each year into his retirement fund, beginning 1 year from today.)
Business
1 answer:
Naily [24]3 years ago
3 0

Answer:

$7,626.05

Explanation:

Future value of annuity = PMT*[((1+r)^n - 1) / r]

$750,000 = PMT * [((1+0.10)^25 - 1) / 0.10]

$750,000 = PMT * [9.8347059/0.10]

$750,000 = PMT * 98.347059

PMT = $750,000/98.347059

PMT = $7626.05417616

PMT = $7,626.05

So, Mr. Hopper need to put $7,626.05 into his retirement fund each year in order to achieve the goal.

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Suppose the transfers of pillars to the Lantern Division cut into sales to outside customers by 14,000 units. Further suppose th
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Complete question:

The Pillar Division of the Gothic Building Company produces basic pillars which can be sold to outside customers or sold to the Lantern Division of the Gothic Company. Last year, the Lantern Division bought all of its 25,000 pillars from Pillar at $2.00 each. The following data are available for last year's activities of the Pillar Division:

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Selling price per pillar to outside customers        $2.05

Variable costs per pillar                                         $1.20

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The total fixed costs would be the same for all the alternatives considered below.

Suppose the transfers of pillars to the Lantern Division cut into sales to outside customers by 20,000 units. Further suppose that an outside supplier is willing to provide the Lantern Division with basic pillars at $1.92 each. If the Lantern Division had chosen to buy all of its pillars from the outside supplier instead of the Pillar Division, the change in net operating income for the company as a whole would have been:

$2,000 decrease.

$14,000 increase.

$1,000 decrease.

$18,000 decrease.

I tried my best to find the question but was unable to find the exact question, instead I found a symmetry question and its solution is as under:

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Option D. $18,000 decrease

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The decrease in the net operating income that would occur due to purchase of all of the pillars from the outside supplier would cost the additional cost to the company which is opportunity cost per pillar and is calculated by using the following formula:

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Opportunity Cost = $1.2 - $1.92  = $0.72

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