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- Gayathri has RM5,000 now in her investment account. She wishes to have RM8,000 in her account after 9 years, but she was informed by the investment firm that she will have RM7,000 in her account in 8 years, what is the interest rate per year she gains from her account? Select one: a. 4.30% b. 3.81% c. 5.31% d. 6.05%Solve the following and show your solution. 1. Peter borrowed P100,000 at 8% compounded annually? How much will he be paying after 2 years? 2. A time deposit account in a bank yields 5.5% compound interest annually. Jennifer invested P450,000 for 4 years in this savings account. How much interest will she gain? 3. In order to have P250,000 in 5 years, how much should you invest if the compound interest is 12%? 4. how much should you deposit in a bank paying 2% compounded quarterly toaccumulate an amount of P80,000 in 5 years and 9 months? 5. IF you deposit P5,500 in a bank at an annual simple interest rate of 0.5%,how much money will you have after 12 years?5. Ten years ago, Amanda Cortez invested $20,000 in an account paying an annual interest rate of 5%. What is the value of the investment today? What is the interest on interest earned on this investment? 6. You have just won a lottery that promises an annual payment of $120000 beginning immediately. You will receive a total of 15 payments. If you can invest the cash flow in an investment that is paying 8% annually, what is the present value of this annuity?
- Imagine that you deposit \$6,000$6,000 a year, starting one year from today, for four years into a savings account paying 6\%6% per annum. (That is one deposit of \$6,000$6,000 per year.) How much money will you have immediately after you make your fourth and final deposit?SOLVE the following:i. Suppose that your five-year old daughter has just announced her desire toattend college. After some research, you determined that you will need aboutRM 100,000 on her 18th birthday to pay for four years of college. If you canearn 8% annually on your investments, how much do you need to invest todayto achieve your goal?ii. Suppose you have an extra RM100 today that you wish to invest in for oneyear. If you can earn 10% per annum on your investment, how much will youhave in one year?suppose you are planning to buy a home in 8 years from now that costs you 47114 OMR, How much should you save each year in your bank account that pays 6.012 percent to reach your goal?
- 4. You wish to accumulate RM100,000 at the end of 20 years. To do this, you need to deposit an equal amount into the bank at the end of each year. If you can earn 5% compounded annually, how much do you need to deposit each year?Ms. Maya Manaco has P2,500,000 to invest for a year. She can lend it to his brother who has agreed to pay 10% simple interest for the year, or she can invest it with a bank at 8% compounded quarterly for a year. Which of the alternatives will yield a higher interest? By how much? **Suppose an investment will pay $21,000 in 29 years from now. If you can earn 11.35% interest compounded monthly by depositing your money in a bank, how much should you pay for the investment today?
- If Martha puts P1,000 in the bank today at 6%, how much will she have in three years? provide solutions9. At what interest rate compounded quarterly will RM15,000 become RM19,500 in 2 years 3 months? ANS: 11.83% 10. If RM 6,000 will accumulate to RM7,500 in five years' time, what is the interest rate compounded annually? ANS: 4.56% 11. At the birth of her grandson, Samantha Jones commits to help pay for his college education. She decides to make deposits of $600 at the end of each 6 months into an account for 17 years. Find the amount of the annuity and the interest earned, assuming 6% compounded semiannually. ANS: $14,238.11 Page 26) Your daughter is born today, and you want her to be a millionaire by the time she is 35 years old. You open an investment account that promises to pay 16% per year. How much money must you deposit each year, starting on her 1st birthday and ending on her 35th birthday, so your daughter will have $1,000,000 by her 35th birthday? N Year I/Y Cash flow 7) The present value of the following cash flow stream is $8,500 discounted at 10 percent annually. What is the value of the missing cash flow? 1,000 PV 1 ? PMT 2 2,000 FV 3 4,000 4