Your company borrowed $50,000 from a bank and have agreed to pay the principal back by making monthly payments of $1,685.50 for 3 years (36 months). What is the ANNUAL interest rate for this loan? O 12.00% O 13.03% O 3.02% O 15.14% 9.87% O 1.99% O 5.49% O 2.09%
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- You plan to retire in 15 years. After retirement you will need $20,000 per yearfor 20 years. If interest remains at 8% compounded annually, how much shouldyou deposit each year until retirement? (Note that you will make a total of 15 endof-year deposits, and your first withdrawal will be made at the end of 16th year.)(a) $13,091 (b) $7,811(c) $6,993 (d) $7,232You want to lend $1,000 as a bank deposit in a private bank with an APR: 48% per year compounded monthly (hint: what is the effective interest rate per month?) a. You plan to withdraw principle and interest as a lump sum (in one payment) at the end of 6 MONTHS . What is the value of the total payment? What is the total interest paid to you? b. You plan to withdraw principle and interest as a lump sum (in one payment) at the end of ONE YEAR . What is the value of the total payment? What is the total interest paid to you? write on excel4. A P4,000 is borrowed for 75 days at 16% per annum simple interest. How much will be due at th e end of 75 days? ANSWER: 4,133.33
- Suppose that an oil well is expected to produce 1,200,000 barrels of oil during its firstyear in production. However, its subsequent production (yield) is expected to increaseby 9% over the previous year's production. The oil well has a proven reserve of10,500,000 barrels. (a)Suppose that the price of oil is expected to be $120 per barrel for the next six years.What would be the present worth of the anticipated revenue stream at an interest rateof 10% compounded annually over the next six years?(b)Suppose that the price of oil is expected to start at $120 per barrel during the firstyear, but to increase at the rate of 3% over the previous year's price. What would bethe present worth of the anticipated revenue stream at an interest rate of 10%compounded annually over the next six years?(c)Consider part (b) again. After three years' production, you decide to sell the oil well.What would be a fair price?Suppose P100, 000 is deposited in an account that earns 8% compound interest that is compounded semi-annually. In how many years will the initial investment triple? a.13.01 years b.14.01 years c.14 years d.13 years As advised by your financial adviser, you started to save P15,000 and deposited it every in the beginning of each month in a bank with 6% interest compounded annually, How much is the total amount after 8 years? (Hint: Future Value of General Annuity Due) a. 4,935,561.09 b. 3,495,561.09 c. 5,493,561.09 d. 9,435,561.09Q5-Mr. and Mrs. Lacks want to collect money for college expenses in a bank at 9% interest rate compounded monthly for their new-born daughter Henrietta. Mr. and Mrs Lacks transfer 7% and 5% of their salaries, respectively, to the savings account every month. Henrietta will go to college at her 18. Each year expense for the college is $40 000 for 5 years and the minimum accepted rate of return is 3%. Mr. Lacks expects to get raise once in every 2 years at about 8% of his salary. If monthly salary of Mrs. Lacks is $ 1500, how much money Mr. Lacks should make during the first 2 years to cover the 5-year college expenses? Ps. Raise will be applied in the first month at every second year. Yearly college expenses will be paid at the end of the year.)
- If Tim borrows $600 from a payday loan operator and has to pay S775 at the end of 1 month, how much will he have to pay if he were to keep the money for a year on the same terms? O. $12,407 O. $6,321 O. $1,020 O. $12,941Suppose that on September 30, 2021, a person opened an investment account with an initial deposit of $20,000. The account guarantees to pay interest at a nominal annual rate of 6%, compounded monthly. The person plans to deposit $3,000 into the account at the end of each and every month starting on October 31, 2021 and ending on March 31, 2024 (a total of 30 additional deposits). (a) How much money will be in the account after the 30th additional deposit is made? (b) What is the total amount of interest that will be earned over the 30-month planning horizon? (c) What is the effective annual interest rate that will be earned? Express your answer to the nearest tenth of a percent, i.e., in the form xx.x%.How much should you pay at the end of 7 years if you loan 2000 at 8% simple interest for 4 years. At the end of this period, you extended the loan for 3 years, without the interest being paid, but the new interest is 10% compounded semi-annually. a. 2,640 b. 4,983 c. 3,537 d. 8,098
- 6. A fund for replacement of machinery in a plant must contain P30,000 at the end of 9 years. If the fund is invested at 3.5% compounded semi-annually, what equal deposits should be placed in the fund at the end of each 6 months for the first four years? a. P2,964.64 b. P2,892.42 c. P3,122.38 d. P3,262.42Show the complete solution and box the final answer/s. 1. In five years, P18,000.00 will be needed to pay for a building renovation. In order to generate this sum, a sinking fund consisting of three annual payments is established now. For tax purposes, no further payments will be made after three years. What payment is necessary if money is worth 15% per annum?2. A debt of ‘x’ pesos, with an interest rate of 7% compounded annually will be retired at the end of 10 years through the accumulation of deposit in the sinking fund invested at 6% compounded semi-annually. The deposit in the sinking fund every end of six months is Php21,962.68. What is the value of ‘x’?As part of your retirement plan, you have decided to deposit $9,000 at the beginning of each year into an account paying 3% interest compounded annually. (Round your answers to the nearest cent.). (a) How much (in $) would the account be worth after 10 years? $ (b) How much (in $) would the account be worth after 20 years? $ (c) When you retire in 30 years, what will be the total worth (in $) of the account? $ (d) If you found a bank that paid 6% interest compounded annually rather than 3%, how much (in $) would you have in the account after 30 years? $ (e) Use the future value of an annuity due formula to calculate how much (in $) you would have in the account after 30 years if the bank in part (d) switched from annual compounding to monthly compounding and you deposited $750 at the beginning of each month instead of $9,000 at the beginning of each year. $