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jeyben [28]
3 years ago
6

The initial price for a stadium is $800,000,000. There will be a 2% adjustment to the price, and $85,000,000 of revenue from the

sale of previous equipment and land. The projected future cash flow is $675,000,000. The government has decided to provide $300,000,000 of cash to discount the price. What is the Net Present Value of the Stadium
Business
1 answer:
tekilochka [14]3 years ago
8 0

Answer:

NPV = $246764705.88

Explanation:

The net present value of the stadium can be calculated by deducting the present value of cash outflow from the present value of cash inflow.

DATA

Initial price = $800,000,000

Revenue from sale of previous equipment = $85,000,000

Goverment provided fund to discount the price = $300,000,000

Discount factor for year 1 at 2% = 0.9804

Future Cash inflow = $675,000,000

Solution

NPV = Present value of cash inflows - Present value of cash outflows

NPV = $661,764,705.88 - $415,000,000

NPV = $246,764,706

Working

PV of Cash inflow = $675,000,000 x 0.9804

PV of cash inflow =  $661,764,706

PV of Cash outflow = Initial price - Revenue form sale  - Goverment fund

PV of cash outflow = $800,000,000 - $85,000,000 - $300,000,000

PV of cash outflow = $415,000,000

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\int^{150}_{100}\ C'(x)\ dx\\\\=\int^{150}_{100} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{150}_{100}\\\\=[4000(150)-\dfrac{0.4(150)^2}{2}-4000(100)+\dfrac{0.4(100)^2}{2}]\\\\=[600000-4500-400000+2000]\\\\=197500

Hence, the additional cost incurred in dollars when production is increased from 100 units to 150 units= $197,500

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\int^{550}_{500}\ C'(x)\ dx\\\\=\int^{550}_{500} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{550}_{500}\\\\=[4000(550)-\dfrac{0.4(550)^2}{2}-4000(500)+\dfrac{0.4(500)^2}{2}]\\\\=[2200000-60500-2000000+50000]\\\\=189,500

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