Find the present value, in pesos, of a perpetuity of P20,000 payable semi-annually if money is worth 9% compounded quarterly. a. P434,783.00 O b. P434,738.00 O c. P443,783.00 O d. P434,378.00
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- Many persons prepare for retirement by making monthly contributions to a savings program. Suppose that $2,600 is set aside each year and invested in a savings account that pays 10% interest per year, compounded continuously. a. Determine the accumulated savings in this account at the end of 23 years. b. In Part (a), suppose that an annuity will be withdrawn from savings that have been accumulated at the EOY 23. The annuity will extend from the EOY 24 to the EOY 33. What is the value of this annuity if the interest rate and compounding frequency in Part (a) do not change? The accumulated savings amount at the end of 23 years will be $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?A man who won P300, 000 in a lottery decided to place 50% of his winnings in a trust fund for the college education of his son. If the money will earn 14% a year compounded quarterly, how much will the man have at the end of 10 years, when his son will be starting his college education?
- Many persons prepare for retirement by making monthly contributions to a savings program. Suppose that $2,000 is set aside each year and invested in a savings account that pays 10% interest per year, compounded continuously. Solve, a. Determine the accumulated savings in this account at the end of 30 years. In Part (a), suppose that an annuity will be with drawn from savings that have been accumulated at the EOY 30. The annuity will extend from the EOY 31 to the EOY 40. What is the value of this annuity if the interest rate and compounding frequency in Part (a) do not change?Show complete solution (please write eligibly) What is the amount of 10 equal annual deposits starting 1 year from now, that can provide five annual withdrawals, when a first withdrawal of $2902 is made at the end of year 11, and subsequent withdrawals increase of $502 per year over the previous year’s, if the interest rate is 8%, compounded quarterly? Round off interest rate to five decimal places Round your answer to 2 decimal places.Many persons prepare for retirement by making monthly contributions to a savings program. Suppose that $2,600 is set aside each year and invested in a savings account that pays 8% interest per year, compounded continuously. a. Determine the accumulated savings in this account at the end of 23 years. b. In Part (a), suppose that an annuity will be withdrawn from savings that have been accumulated at the EOY 23. The annuity will extend from the EOY 24 to the EOY 32. What is the value of this annuity if the interest rate and compounding frequency in Part (a) do not change?
- 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. 9,435,561.09If 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?7. On his sixth birthday, the boy was left with inheritance. The inheritance will be paid in a lump sum of P 25,000 on his 21st birthday. What is the present value of the inheritance, if it is invested at 6% annually?
- 1. What is the present worth of P500 deposited at the end of every 3 months for 6 years if the interest rate is 12% compounded semi-annually? 2. Determine the present value of a perpetuity of P 100,000 payable annually, with the first payment due at the end of 10 years. Money is worth 10%. 3. How much must be deposited at 6% each year beginning on January 1, year 1 in order to accumulate P5,000 on the date of the last deposit, January 1, year 6.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. 13. What payment X 10 years from now is equivalent to a payment of P500,000 7 years from now, if interest rate is 12% compounded semi-annually?