1 May deposits PhP 20,000 into a fund at the beginning of each year for 10 years. At the end of 15 years, she makes an additional deposit of X. At the end of 20 years, May uses the accumulated balance in the fund to buy a perpetuity- immediate with annual payments of PhP 30,000 per year for 10 years, and PhP 15,000 per year thereafter. Interest is credited at an annual effective rate of 6%. Calculate X.
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- Next Level Potter wishes to deposit a sum that at 12% interest, compounded semiannually, will permit 2 withdrawals: 40,000 at the end of 4 years and 50,000 at the end of 10 years. Analyze the problem to determine the required deposit, stating the procedure to follow and the tables to use in developing the solution.May deposits PhP 20,000 into a fund at the beginning of each year for 10 years.At the end of 15 years, she makes an additional deposit of X.At the end of 20 years, May uses the accumulated balance in the fund to buy a perpetuity-immediate with annual payments of PhP 30,000 per year for 10 years, and PhP 15,000per year thereafter.Interest is credited at an annual effective rate of 6%. Calculate X.Mrs. Quiton deposited Php 120,000.00 into a college fund at the beginning of every month for 10 years . The fund earns 9% annual interest , compounded monthly . She paid at the end of the month . How much is in the account right after the last deposit ? 1. What is the type of annuity illustrated in the given problem? A. Simple Annuity B. General Annuity C. Deferred Annuity D. Complex Annuity 2. Determine the present value of the deposit. A. Php 12,000.00 B. Php 30,000.00 C. Php 60,000.00 D. Php 75,000.00
- Bill makes deposits of 2,700 at the end of each year for n years into a fund. At time n, he uses the accumulated value of the fund to purchase an annuity immediate that makes payments of 197,909.20 at the end of each year for 5 years. The annual effective interest rate is 15%. Calculate n. O a. 26 O b. 29 O c. 28 O d. 24 O e. 22A child receives $80,930 as a gift which is deposited in a 6% bank account compounded semiannually. If $5,250 is withdrawn at the end of each half year, how long will the money last? 22.0 years 10.5 years 29.5 years 13.0 yearsAriells borrows 400,000 at i-.03. She repays this loan by paying off only the interést due at the end of each year to the lender and depositing a level amount Y at the end of each year into a sinking fund account offering 6% APY so as to accumulate the full balance of the loan amount in the sinking fund at the end of 15 years. Find the AEIR that Arielle has ended up paying on this loan. O A..01744 OB. 0115 O C..02009 O D..01194 O E..01586
- Problem: Mary deposits 1000 into a fund at the beginning of each year for 10 years. At theend of 15 years, she makes an additional deposit of X. At the end of 20 years, Maryuses the accumulated balance in the fund to buy a perpetuity-immediate with annualpayments of 2000 for 10 years, and 1000 per year thereafter. The annual effectiveinterest rate is 7%.(i) Calculate the time value of the perpetuity at the end of 20 years.(ii) Determine X.John borrows $15000 for 5 years at an annual effective interest rate of %9. At the end of each year she pays the lender $1000 and deposits a level amount necessary to repay the loan in full after 5 years into a sinking fund that earns an annual effective interest rate of %4. Determine the total annual payment that John makes.Maria deposits $2,000 in a savings account that pays interest at an annual compound rate of 3%. Two years after the deposit, the interest rate increases to 4% compounded annually. A second deposit of $3,000 is made immediately after the interest rate changes to 4%. How much will be in the fund 7 years after the second deposit?
- 1. Cameron designates 10% of his monthly earnings as charitable contributions. After deducting this amount, he deposits 5% of the remaining amount into a money market account earning 2%. If Cameron's monthly earnings are $4,800 what amount interest will he earn on his deposit each month? 2. Find the maturity value for a loan on $4,225 at 8% made on March 5 and due on May 5 of the same year. Assume a 365-day year. 3. Republic Bank advertises their interest rates at 7 % %. You decide to apply for a loan in the amount of $9,000 for 90 days. The bank grants your loan and the loan officer tells you that there is a document preparation fee of $150 that needs to be paid at the time you sign the documents for the loan. Find the APR. Assume a 360-day year. 4. You took out a loan of $5,000 on May 2 and went back on June 15 to make a payment of $1,200. The loan was at 4% for 1 year. What was your remaining balance after making that payment?3. Lauren deposits: ● $240 at the beginning of year 1; $220 at the beginning of year 2; • $100 at the beginning of year 8; I into a fund. Three year after the last deposit, Lauren withdraws the accumulated value of the fund and uses it to buy a perpetuity-immediate with level payments of Z at the end of each year. All calculations assume an annual interest rate of 10%. Calculate Z. Solution:Gladys borrows ₱ 400,000.00 at an interest rate of 4% per year compounded semi- annually. She agreed to settle her loan by making 12 semi-annual payments at the end of each six months. If the first payment is made at the end of 2 years, compute the periodic payment.