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user100 [1]
3 years ago
13

9. Assume that you just won $35 million in the Florida lottery, and hence the state will pay you 20 annual payments of $1.75 mil

lion each beginning immediately. If the rate of return on securities of similar risk to the lottery earning (e.g, the rate on 20 year US Treasury bonds) is 6 percent, what is the present value of your winning
Business
1 answer:
Morgarella [4.7K]3 years ago
8 0

Answer:

$11.47 million

Explanation:

The present value of an annuity is determined by:

PV = P*[\frac{1-(1+r)^{-n}}{r}]

With annual payments (P) of $1.75 million, for a period (n) of 20 years at a discount rate (r) of 6 percent, the present value is:

<u />PV = 1.75*[\frac{1-(1+0.06)^{-20}}{0.06}]\\PV=\$11.47\ million<u />

The present value of your winning is $11.47 million

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2upgrade and 21 repair \enhance

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2 years ago
Gasoline and bicycles are complements in consumption. Suppose we increase the federal gasoline tax to $1 per gallon. What are th
dalvyx [7]

Answer: A

Explanation:

A complementary good is a product that is used together with another product. Without its complement, such a good will have little value. When there is increase in the price of a particular product, the demand of its complement reduces because consumers may not be able to use the complement on its own.

Complements have negative cross elasticity of demand i.e there is increase in the demand for a product when the price of its complement reduces. If bicycles and gasoline are complements, an increase in tax on gasoline will have a negative effect on the demand for bicycle. Due to the price increase of gasoline, less people will demand for bicycle. The initial change that will occur as a result of this is that as there is a price increase for gasoline, there will be a leftward shift in the demand for bicycle. This implies that less bicycle will be demanded for.

7 0
3 years ago
The nominal exchange rate is A. the difference between the interest rate in one country and the interest rate in another country
Veronika [31]

Answer:

Option (B) is correct.

Explanation:

The nominal exchange rate refers to the rate at which there is a buying and selling of goods and services among the countries. It is the amount of home currency that are needed to purchase a unit of foreign currency.

For example: A resident of India would need 75 Indian rupees to purchase a dollar of United States. Therefore, the nominal exchange rate between the India and the United States is as follows:

1 US dollar = Rs. 75

5 0
3 years ago
Kerri is licensed as a non-resident broker in Virginia, and she only sells residential property. When is she required to complet
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cylinder

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5 0
3 years ago
Red Sox Corporation wants to purchase a new machine for $350,000. Management predicts that the machine can produce sales of $205
Cloud [144]

Answer:

The payback period for the new machine is 3.5 years.

Explanation:

Pay Back Period: The pay back period shows that period in which the borrower has to repay the borrowed amount taken by the financial institution.

In Mathematically,

Payback Period = Initial Investment ÷ Annual cash inflows

where initials investment is $350,000 given

And, the annual cash flows is to computed which is shown below:

= Sales - all expenses - Depreciation - tax rate + depreciation

where,

Sales - all expenses - Depreciation = Net income before tax

Net income before tax - tax rate = Net income after tax

Net income after tax +  depreciation = Annual cash inflows

And Depreciation = (Purchase cost - Residual value) ÷ Useful life

So,

Depreciation = $350,000 ÷ 5 = $ 70,000

$205,000 - $85,000 - $70,000  = Net income before tax = $50,000

$40,000 - 35% = Net income after tax = $32,500

$32500 + $ 70,000 = Annual cash inflows = $102,500

Since the depreciation is non cash expense, so it is added back.

Now Payback period = Initial Investment ÷ Annual cash inflows

                                   = $350,000 ÷ $102,500

                                   = 3.5 years.

Thus, the payback period for the new machine is 3.5 years.

8 0
3 years ago
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