Dwayne invests $4,700 in a savings account at the beginning of each of the next twelve years. if his opportunity cost rate is 7 percent compounded annually, how much will his investment be worth after the last annuity payment is made? use the equation method to calculate the worth of the investment. (round your answer to two decimal places.)​

Answers

Answer 1
Answer:

Answer: Dwayne's investment will be worth $89,961.02 after the last annuity payment is made.

Since Dwayne contributes $4700 at the beginning of each year, we need to calculate the future value of an annuity due.

We use this formula for our calculations:

\mathbf{FV _(Annuity due) = PMT * \left [ ((1+r)^(n)-1)/(r) \right ]*(1+r)}

Substituting the values we get,

\mathbf{FV _(Annuity due) = 4700 * \left [ ((1+0.7)^(12)-1)/(0.07) \right ]*(1+0.07)}

\mathbf{FV _(Annuity due) = 4700 * \left [ \frac{2.252191589}-1}{0.07} \right ]*(1.07)}

\mathbf{FV _(Annuity due) = 4700 * \left [ \frac{1.252191589}}{0.07} \right ]*(1.07)}

\mathbf{FV _(Annuity due) = 4700 * 17.88845127 *(1.07)}

\mathbf{FV _(Annuity due) = 89961.02144}


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John's lifelong dream is to own his own fishing boat to use in his retirement. John has recently come into an inheritance of $500,000. He estimates that the boat he wants will cost $400,000 when he retires in 5 years. How much of his inheritance must he invest at an annual rate of 10% (compounded annually) to buy the boat at retirement?

Answers

Answer:

PV= $248,368.53

Explanation:

Giving the following information:

Future Value (FV)= $400,000

Number of periods (n)= 5

Interest rate (i)= 10% = 0.1

To calculate the present value (PV), we need to use the following formula:

FV= PV*(1í)^n

Isolating PV:

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Answers

Answer:

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Answers

Answer:

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Explanation:

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Answers

All of the given options are unit-level activities. So, option (d) is the correct answer.

What are unit-level activities?

Activities at the unit level are carried out in order to make the product. There are four steps in this manufacturing process:

1. engineering

2. setups

3. machining

4. inspecting

Unit-level activities are dependent on the number of units generated, which means that when the number of units produced increases, more expenditures are allocated.

Engineering, setups, and inspections are all done in batches in this situation, hence they are batch-level operations.

For more information about unit-level activities, refer below

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Answer:

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Explanation:

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Answers

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Know more about bankruptcy law here:

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Mark owns a stamp collection that he is considering getting insured. Over the course of a year it will cost him $500 to keep his collection insured, but if he his collection is damaged they will pay him $1000. If he estimates there’s a 10% chance of his collection being damaged, what is the expected value of buying the insurance policy?: *

Answers

Answer:

EV = -$400

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Explanation:

Expected value of buying the insurance policy;

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Substituting the values;

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EV = -$400

The expected value of buying the insurance policy is -$400