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- How long in years will a certain sum of money to triples its amount vhen deposited at a rate of 13% compounded monthly? O 9.50 vrs O 10.50 vrs O 8.50 yrs O 11.50 yrs - please use manual calculation thank you4. Eleanor makes year-end deposits of 500,000 the first year, 550,000 the second year, 605,000 thethird year, and so on increasing the next year’s deposit by 10% of the deposit in the preceding yearuntil the end of the 10th year. Ronald makes equal year-end deposits of 720,00,000 each year for 10years. A.) Is the gradient of Eleanor’s payments increasing or decreasing?B.) If interest on both funds is 12% compounded annually, who will be able to save more atthe end of 10 years.1. How much money would you have to deposit for 5 consecutive years starting one year from now if you want to be able to withdraw P 50,000 ten years from now? Assume the interest is 14% compounded annually.
- Suppose that $12,000 is placed in a bankaccount at the end of each quarter over the next 15years. What is the future worth at the end of 15 yearswhen the interest rate is 8.5% compounded at thegiven intervals?(a) Quarterly(b) Monthly(c) ContinuouslyIf 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 $200 is deposited in the fund at the beginning of each of the 15 years?What uniform annual payment for 12 years is equivalent to receiving all of the following:$ 3,000 at the end of each year for 12 years20,000 today4,000 at the end of 6 years800 at the end of each year forever10,000 at the end of 15 yearsUse an 8% interest rate.
- What is the present equivalent of a uniform series of quarterly payments of $4,500 each for 8 years and a quarterly payments $2,000 of the next 5 years if the interest rate is 8% compounded bimonthly? Note: Round off your interest rate to five decimal places Round your answer to 2 decimal places.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)Suppose you purchased a corporate bond with a 10-year maturity. a $1,000par value, a 10% coupon rate, and semiannual interest payments. What all this means that you receive $50 interest payment at the end of each six-month period for 10 years (20 times). Then, when the bond matures, you will receive the principal amount (the face value) in a lump sum. Three years after the bonds were purchased, the going rate of interest (coupon rate) on new bonds fell to 6% (or 6% compounded semiannually). What is the current market value (P) of the bond (3 years after the purchase)?
- 3. How much do you need to deposit today (P) to withdraw BD25.000 at n =1, BD3,000 at n= 2, and BD5,000 at n =4, if your account earns 10% annual interest?7. What is the amount of 10 equal annual deposits that can provide five annual withdrawals, when a first withdrawal of $29263 is made at the end of year 11, and subsequent withdrawals increase at the rate of 10% per year over the previous year's, if the interest rate is 10%, compounded annually? Draw the cash flow diagram and use interest rate with five decimal places.To accumulate a fund of P 80,000 at the end of 10 years, a man will make equal annual deposits in the fund at the beginning of each year, How much should he deposit if the fund is invested at 5% compounded annually?