(Exercise 4.38) A perpetuity provides payments every 4 months starting today. The first payment is 1 and each payment is 1% greater than the immediately preceding payment. Find the present value of the perpetuity if the effective rate of interest is 6% per annum. ANSWER =
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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?4. We receive 50 beginning of each month for a term of n-years. We wish to replace it with an annuity paying at the end of each semiannual period for the same term. The exchange is based upon a nominal annual interest rate of 9% payable monthly. What is the semiannual payment?Compute the present value of a perpetuity that pays $6,744 annually given a required rate of return of 9 percent per annum. Round your answer to 2 decimal places; record your answer without commas and without a dollar sign. Answer Question 4 Assume that you deposit $3,956 each year for the next 15 years into an account that pays 20 percent per annum. The first deposit will occur one year from today (that is, at t = 1) and the last deposit will occur 15 years from today (that is, at t = 15). How much money will be in the account 15 years from today? Round your answer to 2 decimal places; record your answer without commas and without a dollar sign.
- 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% .An annuity pays 2 at the end of each year for 18 years. for 9 Another annuity pays 2.5 at the end of each At an effective annual interest rate of i, 0 < i < 1, the present values of both annuities are equal. Calculate i. year years.An annuity in perpetuity with effective annual interest rate i > 0 has present value $1, 000. Find i if the annuity pays $52.50 at the end of every 6 month period, with the first payment at the end of the first year.
- The following terms of payment for an annuity are as follows:Periodic payment = P20,000Payment interval = 1 monthInterest rate = 18% compounded monthly Terms = 15 years1. Find the present worth paid of all the payments if it is paid at the end of each month. 2. Find the difference between the sums of an annuity due and an ordinary annuity on these payments. 3. Find the difference between the present values of an annuity due and an ordinary annuity based on these payments. Anwers. 1. P1,214,911.246 2. P271,687.35 3. P18,628.67Show Solution. Topic: General Annuity 1. How much money is accumulated if P3,900 is paid at the end of every month for 2 years at 6% compounded quarterly?(2) A thirty-year annuity has end-of-month payments. The first year the payments are each $120. In subsequent years each payment increases by $5 over what it was the previous year. Find the present value of the annuity if i = 3%.
- 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. 7) $8000; quarterly payments for 8 years; interest rate 4.1%.What is the present value of a perpetuity consisting of equal payments of $66 every 3 months, where the first payment occurs 3 months from now, and the interest rate is 12% p.a.?5. A perpetuity-due with annual payments of 100 has a duration of 26.88 years at an annual effective rate of interest i. Calculate the duration of this perpetuity if the annual effective rate of interest is i +1% instead of i. A) 21.19 B) 22.63 C) 24.95 D) 27.93 E) 28.31