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jek_recluse [69]
2 years ago
14

Suppose executives at an art museum know that 100 adults are willing to pay $12 for admission to the museum on a given weekday.

Suppose the executives also know that 200 students are willing to pay $8 for admission on the same weekday. The cost of operating the museum on that weekday is $2,200. How much profit will the museum earn in the weekday under attention if it engages in price discrimination
Business
1 answer:
e-lub [12.9K]2 years ago
5 0

The museum will earn $600 on a weekday.

<h3>What is an art museum?</h3>
  • A structure or area designated for the exhibition of art, typically from the museum's own collection, is known as an art museum or gallery.
  • It may be owned by the government or a private individual, and access may be open to everyone or subject to limitations.
<h3>Who are executives?</h3>
  • An executive manages operational activities for their company or organization and is typically in charge of developing policies and strategies to achieve organizational objectives.
  • Executives frequently travel to conferences, meetings, and local, regional, national, and worldwide offices.
<h3>Solution -</h3>

Adults willing to pay = 100 and their fees = $12.

Students are willing to pay = 200 and their fees = $8.

Operating cost of museum = $2,200.

To find the profit, do the following:

(100 * 12) + (200 * 8) = 1200 + 1600 = 2800\\2800 - 2200 = 600

Therefore, the museum will earn $600 on a weekday.

Know more about operational activities here:

brainly.com/question/25530656

#SPJ4

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Explanation:

Details provided from the question includes ;

Total contribution margin = $80,200

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Both Bond Bill and Bond Ted have 6.2 percent coupons, make semiannual payments, and are priced at par value. Bond Bill has 5 yea
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Answer:

a-1. Percentage change in the price of Bond Bill = -8.07%

a-2. Percentage change in the price of Bond Ted = -21.12%

b-1. Percentage change in the price of Bond Bill = 8.94%

b-1. Percentage change in the price of Bond Ted = 30.77%

c. See the attached excel file for the graph.

d. It tells us that the longer the term of a bond, the greater will be its interest rate risk.

Explanation:

The price of each bond can be calculated using the following excel function:

Bond price = -PV(YTM, NPER, PMT, FV) ........... (1)

Where;

a-1. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of Bond Bill?

YTM = (6.2% + 2%) / Number of semiannuals in a year = 8.2% / 2 = 4.1%

NPER = Number of semiannuals to maturity = 5 * 2 = 10

PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31

FV = Face value = Initial price of Bond Bill = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Bill = -PV(4.1%, 10, 31, 1000)

Inputting =-PV(4.1%, 10, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Bill = $919.29

Percentage change in the price of Bond Bill = ((New price of Bond Bill - Initial price of Bond Bill) / Initial price of Bond Bill) * 100 = (($919.29 - $1,000) / $1,000) * 100 = -8.07%

a-2. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of Bond Ted?

YTM = (6.2% + 2%) / Number of semiannuals in a year = 8.2% / 2 = 4.1%

NPER = Number of semiannuals to maturity = 25 * 2 = 50

PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31

FV = Face value = Initial price of Bond Ted = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Ted = -PV(4.1%, 50, 31, 1000)

Inputting =-PV(4.1%, 50, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Ted = $788.81

Percentage change in the price of Bond Ted = ((New price of Bond Ted - Initial price of Bond Bill Ted) / Initial price of Bond Ted) * 100 = (($788.81 - $1,000) / $1,000) * 100 = -21.12%

b-1. If rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of Bond Bill be then?

YTM = (6.2% - 2%) / Number of semiannuals in a year = 4.2% / 2 = 2.1%

NPER = Number of semiannuals to maturity = 5 * 2 = 10

PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31

FV = Face value = Initial price of Bond Bill = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Bill = -PV(2.1%, 10, 31, 1000)

Inputting =-PV(2.1%, 10, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Bill = $1,089.36

Percentage change in the price of Bond Bill = ((New price of Bond Bill - Initial price of Bond Bill) / Initial price of Bond Bill) * 100 = (($1,089.36 - $1,000) / $1,000) * 100 = 8.94%

b-2. If rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of Bond Ted be then?

rate = new YTM = (6.2% - 2%) / Number of semiannuals in a year = 4.2% / 2 = 2.1%

NPER = Number of semiannuals to maturity = 25 * 2 = 50

PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31

FV = Face value = Initial price of Bond Ted = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Ted = -PV(2.1%, 50, 31, 1000)

Inputting =-PV(2.1%, 50, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Ted = $1,307.73

Percentage change in the price of Bond Ted = ((New price of Bond Ted - Initial price of Bond Bill Ted) / Initial price of Bond Ted) * 100 = (($1,307.73 - $1,000) / $1,000) * 100 = 30.77%

c. Illustrate your answers by graphing bond prices versus YTM.

Note: See the attached excel file for the graph.

d. What does this problem tell you about the interest rate risk of longer-term bonds?

It tells us that the longer the term of a bond, the greater will be its interest rate risk.

Download xlsx
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