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yan [13]
3 years ago
9

A major lottery advertises that it pays the winner $10 million. However, this prize money is paid at the rate of $ 500,000 each

year (with the first payment being immediate) for a total of 20 payments. What is the present value of this prize at 10% annual interest?
Business
1 answer:
My name is Ann [436]3 years ago
8 0

Answer:

We have to discount these payments to find the present value

500,000

500,000/1.1

500,000/1.1^2

500,000/1.1^3

We keep on doing this until we reach 500,000/1.1^19

After that we add all the payments and get the value. A less time consuming way of doing it is using a financial calculator

Pv=?

N=19

FV=0

PMT=500,000

=4,182,460.05 we add 500,000 to this because the first payment was not discounted=4,682,460.05= Present Value.

Explanation:

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What is the various nation income meature
mars1129 [50]

Explanation:

Concept of National Income

The National income is the total amount of income accruing to a country from economic activities in a year time. It includes payments made to all resources either in the form of wages, interest, rent, and profit.

6 0
3 years ago
How long does it take an investment to quadruple in value if the investment yields 6% per year?
NikAS [45]

Answer:

  • <u>24 years</u>

<u></u>

Explanation:

If<em> the investment yield 6% per year</em>, each year its value is multiplied by 1.06.

After 2 years, the value is multiplied by 1.06², after 3 years it is multiplied by 1.06³, and so on.

After n years, the value is multiplied by 1.06ⁿ.

You want that <em>the investment quadruples</em>, thus the multiplicative factor is 4, meaning that you want to solve for:

  • 1.06ⁿ = 4

If you do not know logarithms, you can solve by succesive iterations:

  • 1.06² = 1.1236
  • 1.06⁴ = 1.2625
  • 1.06¹⁰ = 1.79
  • 1.06²⁰ = 3.2
  • 1.06³⁰ = 5.7
  • 1.06²⁵ = 4.29
  • 1.06²⁴ = 4.05
  • 1.06²³ = 3.82

Thus, <em>if an investement yields 6% per years</em>, it takes 24 years t<em>he investment to quadruple in value.</em>

If you know logarithms, you can make n the subject of the equation:

       1.06^n=4\\\\n\log 1.06=\log 4\\\\n=\dfrac{\log 4}{\log 1.06}=23.79\approx 24

Again, the solution is 24 years.

4 0
3 years ago
Holt Enterprises recently paid a dividend, D0, of $3.75. It expects to have nonconstant growth of 23% for 2 years followed by a
liq [111]

Answer:

a. How far away is the horizon date?

IV. The terminal, or horizon, date is the date when the growth rate becomes constant. This occurs at the end of Year 2.

b. What is the firm's horizon, or continuing, value? Round your answer to two decimal places. Do not round your intermediate calculations.

to determine the horizon value we can use the Gordon growth formula:

stock price = future dividend / (required rate of return - constant growth rate)

Div₀ = $3.75

Div₁ = $4.6125

Div₂ = $5.673375

Div₃ = $6.97825125

since the terminal value is calculated for year 2, we must use Div₃ in our calculations:

stock price = $6.97825125 / (9% - 6%) = $232.61

c. What is the firm's intrinsic value today, P0? Round your answer to two decimal places. Do not round your intermediate calculations.

we have to calculate the present value of:

P₀ = $4.6125/1.09 + $5.673375/1.09² + $232.608375/1.09² = $4.2317 + $4.7752 + $195.7818 = $204.7887 ≈ $204.79

4 0
4 years ago
Suppose buyers of rackets and tennis balls regard the two goods as complements. then an increase in the price of rackets will ca
oksian1 [2.3K]

Answer: decrease in demand for rackets and a decrease in quantity supplied of tennis balls. I hope this helps!!

Explanation:

6 0
2 years ago
Pat gave 5,000 shares of stock in Coyote Corporation (a publicly traded corporation) to her church (a qualified charitable organ
frutty [35]

Answer: a. $180,000

Explanation: Given that the fair market value of the 5000 shares of stock was $180,000 at that time; Pat should include this in information with proof of it's fair value at the time in schedule A of the form

8 0
3 years ago
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