Answer:
20 years (scenario A) and 16 years (scenario B)
Explanation:
The real GDP will double in "n" number of years, with "n" estimated by interpolation using the formula below.
In the solutions below, we assumed current GDP to be 1, and as a result, the GDP will double to 2.
Scenario A
When you substitute 20 for "n" in the left hand side (LHS) of the equation, you will arrive at 1.99 which is approximately equal to 2. Any number below 20 will result in a number less than 2.
Thus, with an average annual real GDP growth rate of 3.5%, real GDP will double in about 20 years.
Scenario B
When you substitute 16 for "n" in the left hand side (LHS) of the equation, you will arrive at 2.02 which is approximately equal to 2. Any number below 16 will result in a number less than 2.
Thus, with an average annual real GDP growth rate of 4.5%, real GDP will double in about 16 years.
Based on the percentage of readers who own a particular make of the car and the random sample, we can infer that there is sufficient evidence at a 0.02 level to support the executive claim.
<h3>What is the evidence to support the executive's claim?</h3>
The hypothesis is:
Null hypothesis : P = 0.55
Alternate hypothesis : P ≠ 0.55
We then need to find the test statistic:
= (Probability found by marketing executive - Probability from publisher) / √( (Probability from publisher x (1 - Probability from publisher))/ number of people sampled
= (0.46 - 0.55) / √(( 0.55 x ( 1 - 0.55)) / 200
= -2.56
Using this z value as the test statistic, perform a two-tailed test to show:
= P( Z < -2.56) + P(Z > 2.56)
= 0.0052 + 0.0052
= 0.0104
The p-value is 0.0104 which is less than the significance level of 0.02. This means that we reject the null hypothesis.
The Marketing executive was correct.
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Answer:
Current yield is 10.3%
Explanation:
Coupon payment = 1000 x 7% = $70 annually
Number of periods = n = 20 years
Yield to maturity = 11% annually
Price of bond is the present value of future cash flows, to calculate Price of the bond use following formula
Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]
Price of the Bond = $70 x [ ( 1 - ( 1 + 11% )^-20 ) / 11% ] + [ $1,000 / ( 1 + 11% )^20 ]
Price of the Bond = $557.43 + $124.03 = $681.46
Current yield is the ration of coupon payment to the price of the bond.
Current Yield = Coupon Payment / Price of Bond = $70 / 681.46 = 0.1027 = 10.3%
Economics is the study of how individuals and societies make choices under the condition of scarcity.
<h3>What is economics?</h3>
The study of how individuals use resources and respond to incentives by using it in decision-making is known as Economics. It is a vast study that helps us comprehend past trends, analyze current headlines, and forecast future events.
It signifies that the price of the product or service exceeds the supply of that product or service. As a result, scarcity might limit the options available to customers, who make up the economy in the end.
Individuals, organizations, and governments all use economics to understand their behaviors and decisions. It gives people a way to comprehend how people interact in a market-driven society and to analyze how government policies affect them.
Learn more about Economics, here:
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Answer: $80,242
Explanation:
Common stock = Assets - Liabilities - Retained earnings
Assets next year = 256,555 + 55,000
= $311,555
Liabilities remain unchanged.
Retained earnings
= Opening retained earnings + Net income - dividends
= 49,793 + 44,200 - 12,000
= $81,993
Common stock next year;
= 311,555 - 149,320 - 81,993
= $80,242
