An employee's compensation includes an annuity that pays $80,000 at retirement, with each subsequent annual payment growing by 3% for a total of 6 payments overall. The firm's policy is to pre- fund such annuities before retirement. At an interest rate of 4%, how much would the firm need to invest 4 years before retirement?
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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?A company wants to have $20,000 at the beginning of each 6-month period for the next 4years. If an annuity is set up for this purpose, how much must be invested now if the annuity earns 6.31%, compounded semiannually? (a) Decide whether the problem relates to an ordinary annuity or an annuity due. ordinary annuityannuity due (b) Solve the problem. (Round your answer to the nearest cent.)A company would like to have $400,000 in 6 years. How much should be invested semiannually into an account paying 3.6% compounded semiannually? 7. Identify the type of problem. a. Present Value with compound interest b. Future Value of an Annuity c. Present Value of an Annuity d. Amortization e. Sinking Fund 8. Answer the question in the problem. a. $30,681.38 b. $29,754.02. c. $34,245.54 d. $30,160.79 c. $28,541.46
- If the nominal rate of interest on a loan is 16.3% and interest is compounded monthly, what is the Annual Percentage Rate (APR)? Your answer should be accurate to three decimal places. A9. (a) Given an annual interest rate of 4.3%, what is the maximum amount one will be willing to pay now, as a lump sum, to obtain a pension of £6,720 per year for the next 9 years, if payments are made at end of each year? Your answer should be accurate to two decimal places. (b)Victory Markets, LLC ("VML") has a bank loan with a total principal of $3,800,000. The stated annual interest rate for the loan is 8.40%, and the loan is to be amortized with monthly payments over 6 years. VML wants the bank to change the provisions of the loan such that payments are made on an annual basis. What would be the economically equivalent annual interest rate (i.e., economically equivalent to 8.40% compounded monthly) for a loan with annual payments? 8.6632% 8.7311% 9.0023% 8.5987%Paymaster Enterprises has arranged to finance its seasonal working capital needs with a short term bank loan. The loan will carry a rate of 0.072 per anum paid in advance (discounted). If Paymaster plans to borrow $760000 for a period of 7 months, what is the cost of the loan.
- Suppose United Bank offers to lend you $10,000 for one year at a nominal annual rate of 8.00%, but you must make interest payments at the end of each quarter and then pay off the $10,000 principal amount at the end of the year. What is the effective annual rate on the loan?A company estimates that it will have to replace a piece of equipment at a cost of $800,000 in 5 years. The company has an account that pays 5.6% interest compounded monthly. The company has two options: a lump sum deposit or a sinking fund c) Instead, if a sinking fund is established, how much should each payment be? d) How much will be earned in interest?1. Calculate the future value of $9,000 invested (single amount) for ten years in an account with an APR of 6.3%. (Do not round interest rates.) a. If compounded annually? Future value = P (1+r)t 9,000(1+0.063)¹⁰= b. If compounded semiannually? c. If compounded monthly? d. Given equal rates, time, and investment amount, what effect does the frequency of compounding have on future values? What effect does the frequency of discounting have on present values? 2. Determine the rate that would be earned on a $25,000 investment if $100,000 is paid back in 25 years. Based on your answer, what factors would you consider in whether to invest or not. 3. A company has a $400 million liability that is due in 20 years. If the relevant discount rate is 5.25 percent, what is the present value of the liability? 4. What is the present value of an investment that will pay you $75 per year forever if the appropriate rate of return is 3%?
- A firm, whose cost of capital is 8 percent, may acquire equipment for $146,825 and rent it to someone for a period of five years. Note: Although payment of rent is typically considered to be an annuity due, treat it as an ordinary annuity when completing this problem in a spreadsheet or when using present value factors. If the firm charges $38,730 annually to rent the equipment, what are the net present value and the internal rate of return on the investment? Use Appendix D to answer the questions. Use a minus sign to enter negative values, if any. Round your answers for the net present value to the nearest dollar and for the internal rate of return to the nearest whole number. NPV: $ IRR: % Should the firm acquire the equipment? The firm acquire the equipment as the net present value is , and the internal rate of return the firm's cost of capital. If the equipment has no estimated residual value, what must be the minimum annual rental charge for the firm to earn the required 8…Vanscoy Bank pays 6.6% simple interest on its investment accounts. If Vade Bank pays interest on its accounts compounded annually, what rate should the bank set if it wants to match Vanscoy Bank over an investment horizon of 8 years?A loan of $77,800 is due 10 years from today. The borrower wants to make annual payments at the end of each year into a sinking fund that will earn compound interest at an annual rate of 10 percent. Required: a. What will the annual payments have to be? Note: Do not round intermediate calculations and round your final answer to the nearest whole dollar amount. b. Suppose the investor makes the payments monthly instead. How much would they need to pay each month? Note: Do not round intermediate calculations and round your final answer to 2 decimal places. c. If payment was made by making monthly payments with monthly
