A Microgates Industries bond has a 10 percent coupon rate and a $1,000 face value. Interest is paid semiannually, and the bond has 20 years to maturity. If investors require a 12 percent yield, what is the bond’s value? * a. $849.45 b. $879.60 c. $985.18 d. $963.15 e. None of the above
Answers
Answer:
a. $849.45
Step-by-step explanation:
In the above question, we are given the following information
Coupon rate = 10%
Face value = 1000
Maturity = n = 20 years
t = number of periods = compounded semi annually = 2
Percent yield = 12% = 0.12
Bond Value formula =
C/t × ([1 -( 1/ 1 + r/t)-^nt ÷] r/t) +( F/ (1 + r/t)^nt)
C = coupon rate × face value = 10% × 1000 = 100
Bond value:
= 100/2 × ( [1 - (1 /1 + 0.12/2)^-20×2]÷ 0.12/2)+ (1000/( 1 + 0.12/2)^20×2
= 50 × ( [1 - (1 /1 + 0.06) ^40] ÷ 0.06) + ( 1000/ (1 + 0.06) ^40
= 50 × ( [1 - (1/ (1.06) ^40] ÷ 0.06 ) + (1000/(1.06)^40)
= 50 × 15.046296872 + 97.222187709
= $849.45
Bond value = $849.45
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A red die is tossed and then a green die is tossed. What is the possibility that the red die shows a six or the green die shows a six?
Answers
Answer:
it would be 0.4 to the power (exponent) of 3
Step-by-step explanation:
should the answer be 0.4^3
(hope this helps can i plz have brainlist :D hehe)
b. Last year some of their clients made a profit of at least 8%.
c. Last year more than half of their clients made a profit of at least 8%.
d. Last year at least one of their clients made a profit of more than 11%.
e. Last year at least one of their clients made a profit of exactly 8%.
f. None of the above statements is true.
Answers
Answer:
The answer is "Option 2".
Step-by-step explanation:
Please find the complete question in the attached file.
When there is a mean value k in a set of data. Otherwise, we will assert with certainty that at least one of the values is k. They can't say anything at all about the maximum or even the minimum using knowledge only. Nevertheless, we know that certain numbers cannot be over and that all numbers cannot be below than mean. Mean also no value throughout the data set must be equal.
Final answer:
None of the claims must necessarily be true based on the 8% average profit data provided. The information supplied does not specify individual profits, future profits, or the distribution of profits.
Explanation:
Based on the statement that the investment company's clients on average, made a profit of 8% last year, none of the claims must necessarily be true. The key phrase here is that the average profit was 8% - this does not provide specific information about any individual client's profit.
Option a is not necessarily true because this statement makes assumptions about future profits, which cannot be ascertained from last year’s average profit. For option b: even if the average profit was 8%, it's possible that no single client made exactly 8%. Similar logic applies to option c. The average doesn't tell us the distribution of the data, so we cannot deduce that more than half the clients made a profit of at least 8%. For option d: we cannot confirm if at least one client made a profit of more than 11% purely based on the average profit figure of 8%. Lastly, for option e: it's possible, but not guaranteed, that at least one client made a profit of exactly 8%. Hence, the answer is option f: None of the above statements is true.
Learn more about Statistics here:
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Help please
Answers
Answer:
the answer would be x equal 2.4
Step-by-step explanation:
sorry for my bad handwriting
Answers
Answer:
The answer is 1
Step-by-step explanation:
In order to do this equation you use PEMDAS Parentheses, Exponents, Multiplication , Division, Addition and Subtraction
So,
Hoped this helped :D
Answers
The linear equation that models this situation is y = 30x
What is an equation?
An equation is an expression showing the relationship between numbers and variables.
The slope intercept form of a straight line is:
y = mx + b
Where m is the slope and b is the y intercept.
The standard form of a straight line is:
Ax + By = C
Where A, B and C are constants
Let y represent the number of miles a butterfly can travel in x hours. The butterfly can travel 30 miles in 1 hour, hence:
y = 30x
The graph is attached
Find out more on equation at: brainly.com/question/2972832
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Answers
Answer:
$85
Step-by-step explanation:
Answer:
the new amount would be $85
Step-by-step explanation:
you do $65 and add 20 because it increased 20
can you please mark me brainlest I would mean a lot