Explain whether the following statement is true or false: $100 a year for 10 years is anannuity, but $100 in Year 1, $200 in Year 2, and $400 in Years 3 through 10 does not constitutean annuity. However, the second series contains an annuity.
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A: “Hi There, thanks for posting the question. But as per Q&A guidelines, we must answer the first…
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A: Perpetuity is series of cash flows which happens at a periodic interval till perpetuity
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A: Principal amount = $60 Time period = 10 years Interest rate = 5% Compounded = semi-annually
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A: Computation:
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Explain whether the following statement is true or false: $100 a year for 10 years is an
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- Which of the following is false? The future value of a deferred annuity is equal to the future value of an annuity not deferred. If the first payment is received at the end of the fifth period, it means the ordinary annuity is deferred for five periods. The present value of a deferred annuity is less than the present value of an annuity not deferred. To calculate the present value of a deferred annuity, determine the present value of an ordinary annuity for the entire period and subtract the present value of the payments which were not received during the deferral period.1.Which of the following statements is CORRECT? Statement 1. The difference between the PV of an annuity due and the PV of an ordinary annuity is that each of the payments of the annuity due is discounted by one more year (period). Statement 2. The difference between an ordinary annuity and an annuity due is that each of the payments of the annuity due earns interest for one additional year (period). Statement 3. An annuity is a series of equal payments made at fixed equal-length intervals for a specified number of periods. Statement 3 only. All of the statements are correct. None of the statement is correct. Statement 1 only. Statement 2 only. Given some amount to be received several years in the future, if the interest rate increases, the present value of the future amount will Be higher Be variable. Be lower. Cannot tell. Stay the same. WITH EXPLANATION PLEASEWhat is the present value of a perpetuity of $8,447 per year given an interest rate of 8.2%, assuming that the first cash flow occurs today (that is, in year 0)? Record your answer as a dollar amount rounded to 2 decimal places , but do not include a dollar sign or any commas in your answer . For example , enter $ 12,327.24987 as 12327.25 .
- Which of the following statements is CORRECT? The cash flows for an annuity may vary from period to period, but they must occur at regular intervals, such as once a year. The cash flows for an annuity due must all occur at the beginning of the periods. The cash flows for an ordinary annuity occur at the beginning of the periods. If some cash flows occur at the beginning of the periods while others occur at the ends, then we have what the textbook defines as an ordinary annuity. If a series of unequal cash flows occurs at regular intervals, such as once a year, then the series is by definition an annuity.For each of the following situations involving annuities, solve for the unknown (?). Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (i = interest rate, and n = number of years) Present Value Annuity Amount i n1. ? $ 3,000 8% 52. $ 242,980 75,000 ? 43. 161,214 20,000 9 ?4. 500,000 80,518 ? 85. 250,000 ? 10 4 Sandy Kupchack just graduated from State University with a bachelor’s degree in history. During her four years at the university, Sandy accumulated $12,000 in student loans. She asks for your help in determining the…Give typing answer with explanation and conclusion to all parts If $387674 is used to purchase an annuity earning 5.5% compounded monthly and paying $3102 at the end of each month, what will be the term of the annuity? Include the final, smaller annuity payment in the total. (Just state total months as a number, not years and months) What is N? What is I/Y? What is C/Y? What is P/Y? What is PV? What is PMT? What is FV?
- Which of the following statements about annuities are true? Check all that apply. An ordinary annuity of equal time earns less interest than an annuity due. A perpetuity is a series of equal payments made at fixed intervals that continue infinitely and can be thought of as an infinite annuity. When equal payments are made at the end of each period for a certain time period, they are treated as ordinary annuities. When equal payments are made at the end of each period for a certain time period, they are treated as an annuity due.Use these present value tables to answer the question that follow. Below is a table for the present value of $1 at Compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 0.890 0.826 0.797 3 0.840 0.751 0.712 4 0.792 0.683 0.636 5 0.747 0.621 0.567 Below is a table for the present value of an annuity of $1 at compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 1.833 1.736 1.690 3 2.673 2.487 2.402 4 3.465 3.170 3.037 5 4.212 3.791 3.605 Using the tables above, what is the present value of $16,491.00 (rounded to the nearest dollar) to be received at the end of each of the next four years, assuming an earnings rate of 12%? a.$59,450 b.$16,491 c.$50,083 d.$39,611 Use these present value tables to answer the question that follow. Below is a table for the present value of $1 at Compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 0.890 0.826 0.797 3 0.840 0.751 0.712 4 0.792 0.683 0.636 5 0.747 0.621 0.567 Below is a…Use these present value tables to answer the question that follow.Below is a table for the present value of $1 at compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 0.890 0.826 0.797 3 0.840 0.751 0.712 4 0.792 0.683 0.636 5 0.747 0.621 0.567 Below is a table for the present value of an annuity of $1 at compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 1.833 1.736 1.690 3 2.673 2.487 2.402 4 3.465 3.170 3.037 5 4.212 3.791 3.605 Using the tables above, if an investment is made now for $23,500 that will generate a cash inflow of $8,000 a year for the next four years, what would be the net present value of the investment, assuming an earnings rate of 10%? a. $16,050 b. $25,360 c. $23,500 d. $1,860
- Use these present value tables to answer the question that follow.Below is a table for the present value of $1 at compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 0.890 0.826 0.797 3 0.840 0.751 0.712 4 0.792 0.683 0.636 5 0.747 0.621 0.567 Below is a table for the present value of an annuity of $1 at compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 1.833 1.736 1.690 3 2.673 2.487 2.402 4 3.465 3.170 3.037 5 4.212 3.791 3.605 Using the tables above, what would be the present value of $8,000 to be received one year from today, assuming an earnings rate of 12%?Use these present value tables to answer the question that follow.Below is a table for the present value of $1 at compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 0.890 0.826 0.797 3 0.840 0.751 0.712 4 0.792 0.683 0.636 5 0.747 0.621 0.567 Below is a table for the present value of an annuity of $1 at compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 1.833 1.736 1.690 3 2.673 2.487 2.402 4 3.465 3.170 3.037 5 4.212 3.791 3.605 Using the tables above, what would be the internal rate of return of an investment of $227,460 that would generate an annual cash inflow of $60,000 for the next five years?Use these present value tables to answer the question that follow. Below is a table for the present value of $1 at Compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 0.890 0.826 0.797 3 0.840 0.751 0.712 4 0.792 0.683 0.636 5 0.747 0.621 0.567 Below is a table for the present value of an annuity of $1 at compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 1.833 1.736 1.690 3 2.673 2.487 2.402 4 3.465 3.170 3.037 5 4.212 3.791 3.605 Using the tables above, what would be the present value of $17,508 (rounded to the nearest dollar) to be received four years from today, assuming an earnings rate of 10%? a.$17,508 b.$13,866 c.$55,500 d.$11,958 how to do this 1? Use these present value tables to answer the question that follow. Below is a table for the present value of $1 at Compound interest. Year 6% 10% 12% 1 0.943 0.909 0.893 2 0.890 0.826 0.797 3 0.840 0.751 0.712 4 0.792 0.683 0.636 5 0.747 0.621 0.567 Below is a…