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- What is the amount of 10 equal annual deposits that can provide five annualwithdrawals, when a first withdrawal of $3,000 is made at the end of year 11 and subsequent withdrawals increase at the rate of 6% per year over the previous year's rate if(a) the interest rate is 8% compounded annually?(b) the interest rate is 6% compounded annually?If you want to buy a car in two years that cost $20,000.00, how much should put away every month if you can get a six percent nominal annual interest rate-compounded monthly?1) A child’s grandparents have opened a ₱586702 savings account for the child on the day of her birth. The account pays 1.7% compounded semiannually. The child will be allowed to withdraw the money when she reaches the age of 21. What will the account be worth at that time? Round your answer to 2 decimal places. 2) What simple interest rate (in %) is equivalent to 6.5% compounded quarterly if money is invested for 8 years? Round your answer to 2 decimal places.
- A bond pays $5000 in 25 years an earns an annual interest rate of 4.75%. What is the bond's price? Assume annual compounding. Round your answer to two decimal places.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.You were entitled to receive $5,000 at the end of six months for the rest of your life. If the interest rate is 10% compounded monthly, what is the present value of perpetuity? can someone explain how come the answer is 97,936.84?
- How much do eight ₱ 76,990 quarterly payments amount at present, if the interest rate is 3 compounded quarterly?4. 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.How long will it take any sum to double itself with an 11% interest rate compounded continuously? a) 4.8 years b) 6.3 years c) 5.2 years d) 3.4 years
- Cory Manciagli is planning to retire in 20 years. Money can be deposited at 6% compounded quarterly. What quarterly deposit must be made at the end of each quarter until Cory retires so that he can make a withdrawal of $40,000 semiannually over the first 10 years of his retirement? Assume that his first withdrawal occurs at the end of six months after his retirement. (Hint: Apply concept of economic equivalence at the end of 20 years).Assuming an interest rate of 10% compounded annually, answer the following questions:(a) How much money can be loaned now if $20,000 is to be repaid at the end of five years?(b)How much money will be required in five years in order to repay a $15,000did loan borrow now?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) Continuously