1. Given the following varied interest rates: 6% compounded monthly during the first year, 2% per quarter during the second and third years, and 10% per year throughout the remaining years, how much should you invest today (P) to have $ 1M five years from now?
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- What is the amount of 10 equal annual deposits that can provide five annualwithdrawals, when a first withdrawal of $3,000 is made at the end of year 11 and subsequent withdrawals increase at the rate of 6% per year over the previous year's rate if(a) the interest rate is 8% compounded annually?(b) the interest rate is 6% compounded annually?If you borrow $4,000, what single payment must you make after 5 years to repay the principal and interest at 10%? Alternatively, what uniform annual payment would be required? 2. The interest rate charged on a small loan is 1.5% per month. What are the corresponding 'nominal' and 'effective' rates per annum? 3. Using the interest rate of 3% compounded annually, what is the amount that will be accumulated in a sinking fund at the end of 15 years if $200 is deposited in the fund at the beginning of each of the 15 years if $200 is deposited in the fund at the beginning of each of the 15 years?NEED HELP ASAP! THANK YOU!An accountant is entitled to received 35,000 pesos at the beginning of each year for 18 years. What is the present value in pesos of this annuity at the time he is suppose to receive the first payment if the rate of interest is 3% compounded annually?
- a. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded quarterly? b. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded monthly? c. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded daily? d. What is the effective annual interest rate if the nominal annual interest rate is 10%, compounded continuously? e. At what compounding period does the effective annual interest rate very closely approximate continuous compounding? (Consider to the nearest 0.0001)19. How much money should be invested monthly at 6% per year, compounded monthly, in order to have $10,000 in two years?Suppose that a $100 lump-sum amount is invested for 10 years at a nominal interest rate of 6% compounded quarterly. Howmuch is it worth at the end of the 10th year?
- 1. How many years will a deposit triple itself at an interest rate of 7% per annum compounded continuously? 2. A nominal annual rate of interest of 7%, compounded continuously, has an effective annual interest rate of_. 3. At what interest rate, compounded quarterly, will an investment double in 5 years? 4. A house and lot costing P2 Million was bought at a downpayment of P500,000 and P1 Million after one year. The remaining balance will be paid annually, what is the required payment? 5. Mr. Fernandez borrowed P25,000 due in 1 year and P75,000 due in 4 years. He agrees to pay P50,000 in 3year and the balance in 2 years. How much must he pay at the end of two years if money is worth 5% compounded continuously? 6. What is the nominal rate of interest compounded continuously for 8 years if the present worth factor is equal to 0.6187835. 7. If P 8000 is borrowed for 105 days at 12% per annum. How much will be due at the end of 105 days? 8. A man buys an electric fan from a merchant that…Assuming an interest rate of 10% compounded annually, answer the following questions:(a) How much money can be loaned now if $20,000 is to be repaid at the end of five years?(b)How much money will be required in five years in order to repay a $15,000did loan borrow now?8. Consider the cash flow transactions depicted in the accompanying cash flow diagram, with the changing interest rates specified. (a) What is the equivalent present worth? (In other words, how much do you have to deposit now so that you can withdraw $300 at the end of year 1, $300 at the end of year 2, $500 at the end of year 3, and $500 at the end of year 4?) (b) What is the single effective annual interest rate over four years? $300 $300 2 Years 9% 6% Interest Interest P compounded compounded $500 $500 6% Interest compounded
- aller each of the next two ycars, or c) $100 now and $95 two years from now? 5.12 Assuming a 10 pcrcent interest rate compounded continuously, what is the present valuc of an annuity that pays $500 a year a) for the next five years, b) forever? E 12 C.. ... L... Laal ..Lane....I... ------ :11 L. a) (1+A geometric gradient that increases at f= 5% per year for 15 years is shown in the accompanying diagram. The annual interest rate is 10%. What is the present equivalent value of this gradient? AClick the icon to view the diagram for geometric gradient values. Click the icon to view the interest and annuity table for discrete compounding when i= 5 % per year. Click the icon to view the interest and annuity table for discrete compounding when i= 10% per year. 4... The present equivalent value of the gradient is $ (Round to the nearest dollar.)2. By the condition of a will, the sum of 25 000 pesos is left to a girl to be held in trust by her guardian until it amounts to 45,000 pesos. When will the girl receive the money if the fund is invested at 8% compounded quarterly? (Sketch the cash-flow diagram).