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goblinko [34]
3 years ago
15

A stock's price fluctuations are approximately normally distributed with a mean of $104.50 and a standard deviation of $23.62. Y

ou decide to purchase whenever the price reaches its lowest 10% of values. What is the most you would be willing to pay for the stock?
Business
1 answer:
denpristay [2]3 years ago
6 0

Answer:

$ 74.23

Explanation:

We are given the following:

mean, μ = $ 104.50

standard deviation, σ = $ 23.62

Using the z-score table, we have

P(Z < z) = 10%  (since we are evaluating lowest 10% of values)

hence P(Z < z) = 0.10

P(Z < -1.282 ) = 0.10

z = -1.282  (this evaluates to 0.1 on the z-score table)

Using z-score formula,

x = z *σ + μ

substituting the values,

x =- - 1.282 * 23.62 + 104.50

= 74.23

The most for the stock is $ 74.23

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Credit Cash $178,000

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2. Jan. 3: Debit Equipment $4,000

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3. Dec. 31: Debit Depreciation Expense $28,000

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Credit Equipment Disposal $15,000

To record the cash proceeds from sale of equipment.

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Credit Equipment Disposal $23,000

To record the loss on Equipment Disposal.

b) Debit Cash $50,000

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Credit Gain on Sale of Equipment $12,000

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Credit Equipment Disposal $8,000

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January 3: Readying costs = $4,000 ($2,840 + $1,160)

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Depreciable amount = $168,000 ($182,000 - $14,000)

Depreciation method = straight-line method

Annual depreciation expense = $28,000 ($168,000/6)

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Disposal date = December 31, Year 5

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1. Jan. 2: Equipment $178,000 Cash $178,000

2. Jan. 3: Equipment $4,000 Cash $4,000

3. Dec. 31: Depreciation Expense $28,000 Accumulated Depreciation $28,000

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a) Cash $15,000 Equipment Disposal $15,000

Loss on Sale of Equipment $23,000 Equipment Disposal $23,000

b) Cash $50,000 Equipment Disposal $50,000

Equipment Disposal $12,000 Gain on Sale of Equipment $12,000

c) Cash $30,000 Equipment Disposal $30,000

Loss on Disposal $8,000 Equipment Disposal $8,000

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