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- Compute the discount if $ 2,000 is discounted for 6 months at 8% simple interestOn your 23rd birthday you decide to invest $4,500 (10% of your annual salary) in a mutual fund earning 7% per year. You will continue to make annual deposits equal to 10% of your annual salary until you retire at age 62 (40 years after you started your job). You expect your salary to increase by an average of 4% each year during this time. How much money will you have accumulated in your mutual fund when you retire?Mr. Gino loaned money from a loan company. He received an amount of P1,016 and guaranteed that he will pay back P1,250 to the loan company at the end of 9 months. What is the simple interest rate of the loan company and its corresponding discount rate?
- I want to be earning an annual salary of $100,000 when I retire in 14 years. I have been offered a job that guarantees an annual salary increase of 4% per year, and the starting salary is negotiable. What is the lowest salary that I should request in order to meet my goal? (Round your answer to the nearest cent.)(3) Suppose we invested $20,000 at an annual rate of 5% where interest is compounded continuously. (a) Write down an IVP that describes the amount of money y(t) that you will have in your account after t years. Then, solve the IVP and compute how much money you expect to have in your account after 10 years. (b) Now suppose you want to have $100,000 in your account after those 10 years. In order to accomplish that, you will make yearly deposits of D dollars. Find D, so that y(10) = $100,000. Note that we still have y(0) = $20,000.You are planning to become a millionaire (i.e., save $1 M) over the next 30 years when you finally retire. a) If you are earning interest at the rate of 5% and you live 15 years after retirement, what annual level of living expenses can you afford with your savings? b) Suppose your retirement living expenses will increase at an annual rate of 3% due to inflation. Determine the annual spending plan in line with your inflation
- Discount P1,650 for 4 months at 6% simple interest. What is the discount?Question 3 You are looking at purchasing a new computer for your four-year undergraduate program. Brand 1 costs $4,040 now, and you expect it will last throughout your program without any upgrades. Brand 2 costs $2,440 now, and will need an upgrade at the end of two years, which you expect to be $1,725. With an 8% annual interest, compounded monthly, which is the less expensive alternative, if they provide the same level of service and will both be worthless at the end of the four years? [NOTE: In general and unless asked for otherwise, comparisons of project should be conducted in present worth dollars] Which Brand is preferred (enter either '1' or '2')? How much will you save by purchasing your preferred brand over the other? (Round your answer to the nearest dollar and enter it as a positive number) $Kinnunen Company wishes to give its customers three options on payments for office equipment when the initial purchase price is over a certain amount. For example, the following three payment plans are options on a typical purchase, and Kinnunen wants to be sure they are equivalent at its TVOM of 14%. Determine the values of Q and R.
- A(n) 16-year bond has a coupon of 6% and is priced to yield 13%. Calculate the price per $1,000 par value using semi-annual compounding. If an investor purchases this bond two months before a scheduled coupon payment, how much accrued interest must be paid to the seller? The price of the bond, PV, is $nothing. (Round to the nearest cent.)John and Susan just opened savings accounts at two different banks. Each deposited $1,000. John's bank pays simple interest at an annual rate of 10%, whereas Susan's bank pays compound interest at an annual rate of 9.5%. No principle or interest will be taken out of the accounts for a period of five years. At the end of five years, whose balance will be higher, and by how much (to the nearest dollar)?You want to buy an ordinary annuity that will pay you $4,000 a year for the next 20 years. You expect annual interest rates will be 8 percent over that time period. The maximum price you would be willing to pay for the annuity is closest to: