Find the present value of a continuous stream of income over 4 years when the rate of income is constant at $33,000 per year and the interest rate is 6%. The present value is $ (Round to the nearest dollar as needed.)
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- Suppose we invest £100,000 at a semi-annually compounded interest rate of 6% for 1 year. What are the gross and net returns? Do the same if this was a monthly compounded rate and a continuously compounded rate. Compare the three net returns to the interest rate. Can you explain the ordering of these 4 quantities?What is the future value of a constant income stream of $20,000 per year in 6 years from now given a continuous interest rate of 3.5% per annum? Give your answer to the nearest dollar and show working. уearsA continuous stream of income is being produced at the constant rate of $60,000 per year. Find the present value of the income generated during the time from t = 2 to t = 6 years, with a 6% interest rate.
- You make an investment into a money market account at time T=0. In year T=5, the value of the money market account will be $5,000. The money market account pays an annual interest of R=6%, and interest is compounded on a quarterly basis. What is the present value of this account?Use the formula A = Pert to find the future value after 20 years of a $7,000 account that earns 8% interest compounded continuously, then compare that to the future value of the same account if interest is compounded annually. Round to the nearest cent. The future value of the account with interest compounded continuously is The future value of the account with interest compounded annually is The account earns $____ (what dollar amount) [more/less] when interest is compounded continuously %24Compute the present value of an investment that generates incomeat a rate of 5000te 0·01t dollars per year forever, assuming an interestrate of 6%.
- Find the value of G that makes the equivalent annual worth in years 1 through 7 equal to $500. The interest rate is 7% per year. I need to know the value of G.(a) Find the present and future value of an income stream of $6000 per year for a period of 10 years if the interest rate, compounded continuously, is 2%. Round your answers to two decimal places. Present value = $ Future value $ (b) How much of the future value is from the income stream? How much is from interest? Round your answers to two decimal places. The amount from the income stream is $ The amount from the interest is $Suppose a deposit of R dollars is made at the end of each year, and assume an APR of r% compounding continuously. (a) If we invest like this for 3 years, what is the value of the account after the third year? (b) If we are making these payments for 3 years, how much money must we invest today to cover the payments? (c) If we make these payments in perpetuity, find a formula which describes the amount of principal we must invest today to cover all future payments. (d) If we invest like this for three years, but instead use an account with an APR s% compounded weekly, determine s so that this second account has the same value as your answer in part (a) after three years.
- Use the present value formula to determine the amount to be invested now, or the present value needed. The desired accumulated amount is $70,000 after 10 years invested in an account with 6.9% interest compounded monthly. The amount to be invested now, or the present value needed, is $ (Round to the nearest cent as needed.)Find the present values of these annuities due.a. What is the present value of $4,000 per month for one year with an annual interest rate of 4.8% (APR with monthly compounding)? b.What is the present value of a growing perpetuity that has an initial payment of $20,000 one year from now. Assume a growth rate of 5% and a rate of return equal to 9%.