2. Find the present worth of perpetuity of P 15,000 payable monthly if money is worth 10% compounded bi-monthly. A. PhP 803,724 B. PhP 604,724 C. PhP 504,724 D. PhP 903,724
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- 10. The compound interest on a certain sum of money at 25% for 3 years is Php 47,656.25. Its simple interest at the same rate and for the same period is Php Blank 1.1. A man who won P300,000 in a lottery decided to place 50% of his winning in a thrust fund for the college education of his son. If the money will earn 14% per year compounded quarterly, how much will the man have at the end of 10 years when his son will be starting his college education? With complete solutionSuppose 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. 9,435,561.09
- 2 A man borrowed Php 120,000 and promised to pay annually for 5 years. The payment starts at "X' pesos. The man intends to increase his payments by Php 5,000 at the end of each successive year. If the interest rate is 8% compounded annually, how much will the first payment cases be? If the man decides to pay annually with 8 equal payments with the first payment to be madeafter 4 years, what will be the amount of the annual payment? Construct the cash flow diagram for both cases.A person buys a piece of lot for P 100,000 down payment and 10 deferred semi-annual payments of P 8,000 each, starting three years from now. What is the present value of the investmentif the rate of interest is 12% compounded semi-annually? A. P 142,999.08 B. P 143,104.89 C. P 142,189.67 D. P 143,999.08As part of your retirement plan, you have decided to deposit $9,000 at the beginning of each year into an account paying 3% interest compounded annually. (Round your answers to the nearest cent.). (a) How much (in $) would the account be worth after 10 years? $ (b) How much (in $) would the account be worth after 20 years? $ (c) When you retire in 30 years, what will be the total worth (in $) of the account? $ (d) If you found a bank that paid 6% interest compounded annually rather than 3%, how much (in $) would you have in the account after 30 years? $ (e) Use the future value of an annuity due formula to calculate how much (in $) you would have in the account after 30 years if the bank in part (d) switched from annual compounding to monthly compounding and you deposited $750 at the beginning of each month instead of $9,000 at the beginning of each year. $
- Suppose that on September 30, 2021, a person opened an investment account with an initial deposit of $20,000. The account guarantees to pay interest at a nominal annual rate of 6%, compounded monthly. The person plans to deposit $3,000 into the account at the end of each and every month starting on October 31, 2021 and ending on March 31, 2024 (a total of 30 additional deposits). (a) How much money will be in the account after the 30th additional deposit is made? (b) What is the total amount of interest that will be earned over the 30-month planning horizon? (c) What is the effective annual interest rate that will be earned? Express your answer to the nearest tenth of a percent, i.e., in the form xx.x%.ASAP please. Use up to 6 decimal places during solving for the answer. Write all numerical final answers round off up to TWO (2) decimal places. 2. How much should I expect a lump sum from a deal at the end of 3 years if I start investing today at an amount of 9,235 every 3 months with a ROR of 0.13 compounded quarterly?Solve the following, using interest rate at 7% compounded annually: a) What is the amount that will be accumulated in a sinking fund at the end of the 15th year if $200 is deposited in the fund at the beginning of each of the 15 years? b) What uniform annual payment for 30 years is equivalent to spending $10,000 immediately, $11,000 at the end of 10 years, $12,000 at the end of 20 years, and $2,000 a year for 30 years?
- 3. A person invests 4,500 in the hopes of receiving a return in eight years. What amount, in pesos, will be recovered eight years from now if the interest rate on the investment is 14.54 percent per year, compounded annually? 4. Calculate the compounded interest after 7 years and 9 months if 500,000 is placed at an annual rate of 11.28 percent compounded monthly. On January 1, 1988, a total of 5,200,000 was deposited at a rate of 24.50 percent compounded semi-annually. What was the value of the sum on January 1, 1993? 3 decimal places4. At what rate of simple interest will the sum of money double itself in 6 years. 5. Solve for F, given that P—$1999,99, i=1.43% and n=1 and three-fourths years.In solving, indicate the Cash Flow Diagram and Solution 1. On January 1, 2005, a person's savings account was worth Php 200,000. Every month thereafter, this person makes a cash contribution of Php 676 to the account. If the fund was expected to be worth Php 400,000 on January 1, 2010, a.) What monthly rate of interest was being earned on this fund? b.) What is the nominal rate compounded monthly? c.) What is the equivalent effective interest rate per year? Write your answer in decimal form and round it off into 5 decimal places.