Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem. PV = $12,000; PMT = $400; n = 40; i = ? %3D (Type an integer or decimal rounded to three decimal places as needed.)
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- (1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?se the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem. PV=$9,000; PMT=$600; n=20; i=? i=? (Type an integer or decimal rounded to three decimal places as needed.)Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem. PV=$12,00; PMT=$400; n=55; =i?
- What 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 .We can now use the following formula to find the present value of the account where the annuity payments are $400 each month. present value = table factor ✕ annuity payment The table factor was determined to be 21.67568. Before using the above formula, we must add 1 to the table factor since this is an annuity due. Thus, the table factor to use in the formula is 21.67568 + 1 = . Substitute the values into the formula, rounding the result to the nearest cent. present value = table factor ✕ annuity payment = ✕ 400 = $ Therefore, to receive annuity payments of $400 at the beginning of each month for 2 years, the amount that should be deposited now into an account earning 6% interest compounded monthly, to the nearest cent, is $ .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?
- 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…The present value of a perpetuity is equal to the payment on the annuity, PMT, divided bythe interest rate, I : PV = PMT/I. What is the future value of a perpetuity of PMT dollars peryear? (Hint: The answer is infinity, but explain why.)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. $1,860Use 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?
