A company must pay a $309,000 settlement 3 years. (a) What amount must be deposited now at 6% compounded semiannually to have enough money for the settlement? (b) How much interest will be earned? (c) Suppose the company can deposit only $200,000 now. How much more will be needed in 3 years?
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- Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?Milo Corp. wants to accumulate $ 500,000 for a payment that will become due in 5 years. That is , at the end of 5 years it will have to pay this amount. It intends to make a deposit of constant amount every year for the next 5 years, starting at the end of the first year. The deposit earns an interest of 8% annually. What is the amount that Milo Corp. should save every year? a)$80,965.0 b)$78,915.03 c)$85,228.23 d)$85,678.09You deposit $4,000 today in a bank that promises to pay an annual interest of 8%? What is future value of this sum at the end of 12 years? b. What if the bank pays 8% interest compounded monthly? What if the bank pays 8% interest compounded quarterly? What interest will the bank have to pay if the future value has to be $12,000 at the end of 12 years? d. Using information from (la) only, what quarterly compounded interest rate should the bank quote in order to provide the same interest as the 10% annual rate? What should be the quoted continuously compounded rate if it is to be the same as the 10% annual rate? Provide the rates per annum. What is the APR? Do we use APR or EAR when we are calculating the present а. с. е. value of an investment?
- A company must pay a $309,000 settlement in 3 years. (a) What amount must be deposited now at 6% compounded semiannually to have enough money for the settlement? (b) How much interest will be earned? (c) Suppose the company can deposit only $200,000 now. How much more will be needed in 3 years? (d) Suppose the company can deposit $200,000 now in an account that pays interest continuously. What interest rate would they need to accumulate the entire $309,000 in 3 years? (a) The amount that must be deposited is $ (Do not round until the final answer. Then round to the nearest hundredth as needed.) (b) The amount of interest earned will be $. (Do not round until the final answer. Then round to the nearest hundredth as needed.) (c) The additional amount needed in 3 years will be $. (Do not round until the final answer. Then round to the nearest hundredth as needed.) (d) The company will need an interest rate of %. (Do not round until the final answer. Then round to the nearest hundredth as…2) Solve the following NPV problems: Problem 1 . Suppose that a borrower receives a 1,000 euro loan from Bank A, with a 10-year maturity at an annual interest rate of 5% with the obligation to pay the interest at the end of each year for the next 10 years. However, at the end of the 6th year, due to financial difficulties, he borrows from the same bank an additional 1,000 euros at an annual interest rate of 5% making the following agreement: a. not to pay any installment at the end of the next two years, i.e. the 7th and 8th year, and b. then pay an equal amount of interest for the next 8 years (i.e. from the end of the 9th year until the end of the 16th year) in order to fully repay the first as well as the second loan. It is requested to calculate the interest-rate installment of the loan that occurred after the restructuring. Problem 2. Suppose that parents make family planning to finance their child's studies and buy a car. The expected costs for studies are EUR 10 000 per year…A company wants to make a single deposit now so it will have enough money to purchase a beckhoe costing $60000 seven years from now A) if the account will earn interest of 12% per year, the amount that must be deposit can be calculated as? B)if the account will earn interest of 12% per year, the amount that must be deposited now is nearest to Option a)60,000 (F/P.12%7b.$27,138c 60,00 (P/F, 12%7d.$29,256e60,000 (F/A, 12%,7)f $28,326
- The Bluebird Company has a $10,000 liability it must pay three years from today. The company is opening a savings account so that the entire amount will be available when this debt needs to be paid. The plan is to make an initial deposit today and then deposit an additional $2,500 a year for the next three years, starting one year from today. The account pays a 3% rate of return. How much does the Bluebird Company need to deposit today? a) $1,867.74 b ) 2,079.89 c) 3, 108.09 d) 4,276.34 e) 4,642.281. Five years from today, you would like to withdraw $5,000 from an account that pays an interest rate of 5% per year. How much do you need to deposit in the account one year from today in order to make the withdrawal?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%?
- 1. Let's assume that a loan of $100,000 with an annual interest rate of 6% over 30 years pays monthly payments of $500. a. Calculate the accumulation rate b. Calculate the payment rate . c. Answer : How will the balance of the principal be at the end of the loan in relation to the original amount of the loan? Less, equal or greater? Provide calculations.You invest $1000 into an account that accrues interest monthly at a rate of 0.16%. (a) How much money will be in the account in 10 years, assuming no future investments? (b) How long until the account is worth $2000? (c) What effect would an investment of $100 in 6 months have on the answers to Parts (a) and (b)?1.) An amount of R1 500 is deposited in a bank paying an annual interest rate of 4.3%, compounded quarterly. Find the balance after 6 years. 2.) Your goal is to accumulate R30 000 after 17 years from now. How much must you invest now to have, at an interest rate of 8% compounded semi-annually? 3.) If R500 accumulated to R700 in 5 years with a certain interest compounded quarterly, what is the rate of interest? 4.) A debt of R5000 is to be amortised by 5 quarterly payments made at 3 month intervals. If interest is charged at the rate of 12% convertible quarterly, find the period payment and construct an amortisation schedule. Round the payment up to the nearest cent. 5.) Raees Braai Ltd has the following capital structure: Equity, 2000000, R2, ordinary shares, market price R2, 50 Preference, 1000000, 12%, R1 preference shares, market price R1,20 Reserves R1500 000 Bank loan R500 000, 15% bank loan Debentures R 1750000,16% debentures, market price R110 (issued at R100). The current and…