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- What is the interest rate on your credit card if after 10 years you owe $40 for a pizza that had a price of $10? The interest rate is _______. A. a monthly rate of 15/12 percent B. 15 percent per year compounded monthly C. a monthly rate of 15/365 percent compounded daily D. 15 percent per year compounded annually SubmitSuppose Sally’s current salary is $62,000 per year, and she is planning to retire 25 years from now. She anticipates that her annual salary will increase by $1,800 each year. in the first year she will earn $62, 000 in the second year $63, 800 in the third year $65, 600 and so forth.) At the end of each of the next 25 years, she plans to deposit 10% of her salary from that year into a retirement fund that earns 6% interest compounded daily. How much money will be in her account at the time of her retirement?You wish to retire in 14 years, at which time you want to have accumulated enough money to receive an annual annuity of $17,000 for 19 years after retirement. During the period before retirement you can earn 8 percent annually, while after retirement you can earn 10 percent on your money. What annual contributions to the retirement fund will allow you to receive the $17,000 annuity? Use Appendix C and Appendix D for an approximate.
- Now that young King Solomon has inherited the kingdom of Israel, and a massive amount of wealth that he can invest, he wants to plan for his "retirement." Since he doesn't know how long he'll live, and data on life expectancy is scarce, he reasons that he just wants a regular "cash flow" over the course of his life. With that in mind, how many shekels would he need to deposit at 20 percent interest compounded every year in order to be able to withdraw 50 shekels at the end of every year for seventy years?Today, you invest ₱100,000 into a fund that pays 25% interest compounded annually. Three years later, you borrow ₱50,000 from a bank at 20% annual interest and invest in the fund. Two years later, you withdraw enough money from the fund to repay the bank loan and all interest due on it. Three years from this withdrawal you start taking ₱20,000 per year out of the fund. After five withdrawals, you withdraw the balance in the fund. How much was withdrawn? Note: Draw the cashflow diagramToday, you invest ₱100,000 into a fund that pays 25% interest compounded annually. Three years later, you borrow ₱50,000 from a bank at 20% annual interest and invest in the fund. Two years later, you withdraw enough money from the fund to repay the bank loan and all interest due on it. Three years from this withdrawal you start taking ₱20,000 per year out of the fund. After five withdrawals, you withdraw the balance in the fund. How much was withdrawn? Note: Draw the cashflow diagram and solve using the formula of annuities
- Suppose a man purchases a luxury car with an initial down payment of $20,000 and then makes quarterly payments: $2000 at the each of each quarter for six years and $3500 at the end of each quarter for eight more years. Given an interest rate of 6% compounded quarterly, find the present value of the payments and the list price of the luxury car.Albert Einstein once noted that, "Compounding of interest is one of humanity's greatest inventions". To illustrate the mind-boggling effects of compounding, what amount should you invest quarterly for 10 years in a fund that earns 8% compounded quarterly, to be able to accumulate P1,000,000 10 years? Draw the cash-flow diagram before solving.A bond with a face value of $7,000 pays quarterly interest of 2.5 percent each period. Twenty-two interest payments remain before the bond matures. How much would you be willing to pay for this bond today if the next interest payment is due now and you want to earn 8 percent compounded quarterly on your money? table of compound interest factors for discrete compounding periods when i=2%.
- find the present value of $175 perpetuity if the interest rate is 6 percent compounded quarterly. payments are at the beginning of the period.What is the future worth of the following seriesof payments?(a) $9,000 at the end of each year for 6 years at11.25% compounded annually.(b) $4,500 at the end of each year for 15 years at4.75% compounded annually.(c) $8,000 at the end of each year for 18 years at6.45% compounded annually.(d) $6,200 at the end of each year for 20 years at8.5% compounded annually.Suppose Kay inherits $250,000, which she invests today at a rate of return of 9 percent compounded annually. Who much will Kay's investment be worth in 25 years?
