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- Give typing answer with explanation and conclusion 41. A man inherited a regular down payment of P200,000 every end of 3 months for 10 years. However, he may choose to get a single lump sum payment at the end of 4 years. How much is this lump sum if the cost of money is 14% compounded quarterly? a. P 3,702,939.73 b. P 7,405,879.46 c. P 2,188,122.11 d. No correct answer in the choicesYou are making semiannual deposits into a fund that pays interest at rate of9% compounded continuously. What is the effective semiannual interest rate?(a) 4.000%(b) 4.708%(c) 4.164%(d)4.175%As 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. $
- Today, you invest ₱100,000 into a fund that pays 25% interest compounded annually. Three years later, you borrow ₱50,000 from a bank at 20% annual interest and invest in the fund. Two years later, you withdraw enough money from the fund to repay the bank loan and all interest due on it. Three years from this withdrawal you start taking ₱20,000 per year out of the fund. After five withdrawals, you withdraw the balance in the fund. How much was withdrawn? Note: Draw the cashflow diagramToday, you invest ₱100,000 into a fund that pays 25% interest compounded annually. Three years later, you borrow ₱50,000 from a bank at 20% annual interest and invest in the fund. Two years later, you withdraw enough money from the fund to repay the bank loan and all interest due on it. Three years from this withdrawal you start taking ₱20,000 per year out of the fund. After five withdrawals, you withdraw the balance in the fund. How much was withdrawn? Note: Draw the cashflow diagram and solve using the formula of annuitiesWhat is the interest rate on your credit card if after 10 years you owe $40 for a pizza that had a price of $10? The interest rate is _______. A. a monthly rate of 15/12 percent B. 15 percent per year compounded monthly C. a monthly rate of 15/365 percent compounded daily D. 15 percent per year compounded annually Submit
- You want to lend $1,000 as a bank deposit in a private bank with an APR: 48% per year compounded monthly (hint: what is the effective interest rate per month?) a. You plan to withdraw principle and interest as a lump sum (in one payment) at the end of 6 MONTHS . What is the value of the total payment? What is the total interest paid to you? b. You plan to withdraw principle and interest as a lump sum (in one payment) at the end of ONE YEAR . What is the value of the total payment? What is the total interest paid to you? write on excelHow 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 yearsJohn Whitney Payson, who purchased a painting by Vincent van Gogh for$80,000 in 1947, sold it for $53.9 million in 1988. If Mr. Payson had invested his $80,000 in another investment vehicle (such as stock), how much annual interest would he need to have earned in order to accumulate the same wealth as he did from the painting investment? Assume for simplicity that the investment period is 40 years and that the interest is compounded annually.
- Today, you invest P100,000 into a fund that pays 25% interest compounded annually. Three years later you borrow P50,000 from a bank at 20% annual interest and invest the fund. Two years later, you withdraw enough money from the fund to repay the bank loan and all interest due on it. Three years from this withdrawal, you start taking P20,000 per year out of funds. After five withdrawals, you withdraw the balance in the fund. How much was withdrawn? Kindly provide a CLEAR and COMPLETE answer.A bond with a face value of $7,000 pays quarterly interest of 2.5 percent each period. Twenty-two interest payments remain before the bond matures. How much would you be willing to pay for this bond today if the next interest payment is due now and you want to earn 8 percent compounded quarterly on your money? table of compound interest factors for discrete compounding periods when i=2%.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?