Perpetuity A provides payments of 3000 every six months with the first payment six months from today. Perpetuity B provides payments of the amount of k every two years with the first payment due now. An annual effective interest rate of 4.94% is given. The two perpetuities have the same present value. Determine the value of the payment k.
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Perpetuity A provides payments of 3000 every six months with the first payment six months from today.
Perpetuity B provides payments of the amount of k every two years with the first payment due now.
An annual effective interest rate of 4.94% is given. The two perpetuities have the same

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- If Bergen Air Systems takes out a $100,000 loan, with eight equal principal payments due over the next eight years, how much will be accounted for as a current portion of a noncurrent note payable each year?Consider two perpetuities (X and Y) at interest rate i. X provides level payments of $105 at the end of each year. Y provides a payment of $5 at the end of the first year, with payments increasing by $5 annually. Find i such that the present value of (X-Y) is a maximum. (Answer to the nearest .05%.)The following two annuities-immediate are available for purchase: (a) the first annuity makes annual payments of 1000 for twenty years, (b) the second annuity is a perpetuity that also has annual payments. The payment in each of the first ten years is 600. Beginning in year 11, the payments increase to 1200, and remain at 1200 forever. At an annual effective interest rate of i > 0, both annuities have a present value of X. Calculate X
- The compounding periods and the payment periods are the same for an annuity and for an amortization. Determine the present value of the annuity that will pay the given periodic payments. (Round your final answer to two decimal places.) Monthly payments of $380.80 for 6 years at 4.6% interest.An annuity due which pays 100 per month for 12 years has a present value of 7,908. Calculate the annual effective interest rate used to determine the present I value.Find the payment that should be used for the annuity due whose future value is given. Assume that the compounding period is the same as the payment period. $168, 000; monthly payments for 5 years; interest rate 3% .
- The present values of the following three annuities are equal: • perpetuity immediate paying 1 year year, calculated at an annual effective interest rate of 7.25%. • 50-year annuity immediate paying 1 each year, calculated at an annual effective interest rate of j%. • n−year annuity immediate paying 1 each year, calculated at an annual effective interest rate of j − 1%. Calculate n.There is a perpetuity due in which the payments increase by 5 percent per year, and the present value of the 6’th payment is equal to the present value of the 8’th payment. The first payment is 500 dollars. Find both the effective interest rate and the present value.The compounding periods and the payment periods are the same for an annuity and for an amortization. Determine the present value of the annuity that will pay the given periodic payments. (Round your final answer to two decimal places.) Monthly payments of $430 for 5 years with a monthly interest rate of 0.8%.
- A perpetuity has payments of 1, 1.2, 1, 1, 3, 1, 1, 4. Payments are made at the end of each year. Assuming an annual effective interest rate of 5%, find the present value of the perpetuity. A B с D E 45 60 67 119 440 4An annuity provides payments at the end of each two-year period for twenty years. It pays $1,000 at the end of the first period and increases the payment by $1,000 in each subsequent period, so that at the end of the tenth period it pays $10,000. Given a 2% nominal annual interest rate compounded semiannually, determine in which of the following ranges is the present value of this annuity. please use tvm if neededIWhat is the value of a 30-year annuity that pays $2500 a year? The annuity’s first payment will be received on year 11. Also, assume that the annual interest rate is 4 percent for years 1 through 10 and 5 percent hereafter.