Directions: Solve the following problems completely. Find the period of deferral in each of the following deferred annuity. a) Monthly payments of P 2,0000 for 5 years that will start 7 months from now. b) Annual payments for 8,000 for 12 years that will start 5 years from now. c) Quarterly payments of P 5,000 for 8 years that will start two years from now.
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- Find the period of deferral in each of the following deferred annuity problem. 1. A regular payment of P500 monthly for 3 years that will start 4 months from now. 2. A payment of P100,000 every quarter for 8 years starting at the end of 2 years. 3. A semi- annual payments of P1000 for 12 years that will start 3 years from now. 4. An annual installment of 25 years, first payment after 5 years. 5. A half- year instalment of 8 years, first payment of P2,000 after 18 months.1. Find the periodic withdrawals PMT for the given annuity account. (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $200,000 at 4%, paid out monthly for 16 years, leaving $10,000 in the account after the 16 years PMT = $__________ 2. Determine the periodic payments PMT on the given loan or mortgage. (Round your answer to the nearest cent.) $80,000 borrowed at 5% for 10 years, with monthly payments PMT = $_______A. Directions: Read the following annuity problem. Fill in the blanks in the statements that follow. A loan of P 30,000 is to be repaid monthly for 5 years that will start at the end of 4 years. If interest rate is 12% converted monthly, how much is the monthly payment? a) Type of annuity illustrated in the problem is a b) The total number of payments is c) The number of conversion periods in the period of deferred is d) The interest rate per period is annuity. e) The present value of the loan is
- Find the payment that should be used for the annuity due whose future value is given. Assume that the compounding period is the same as the payment period. $168, 000; monthly payments for 5 years; interest rate 3% .An ordinary annuity paying P1,811 at the end of each year for 15 years, is to be converted to an annuity paying an amount at the beginning of each month for 15 years. Money is worth 10% compounded annually. Determine the following: a.) Present Value of the Payment. b.) Amount being paid at the beginning of each month for 15 years. Note: Don't use excel. Use or draw some cashflows.Find the future value of each annuity due. Then determine how much of this value is from contributions and how much is from interest. Payments of $1000 made at the beginning of each semiannual period for 7 years at 8.49 % compounded semiannually The future value of the annuity due is $. (Do not round until the final answer. Then round to the nearest cent as needed.) The amount from contributions is $ The amount from interest is $ (Do not round until the final answer. Then round to the nearest cent as needed.)
- Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $170 deposited monthly for 20 years at 3% per year in an account containing $11,000 at the start Find the periodic payments PMT necessary to accumulate the given amount in an annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $90,000 in a fund paying 6% per year, with monthly payments for 5 yearsThe following terms of payment for an annuity are as follows:Periodic payment = P20,000Payment interval = 1 monthInterest rate = 18% compounded monthly Terms = 15 years1. Find the present worth paid of all the payments if it is paid at the end of each month. 2. Find the difference between the sums of an annuity due and an ordinary annuity on these payments. 3. Find the difference between the present values of an annuity due and an ordinary annuity based on these payments. Anwers. 1. P1,214,911.246 2. P271,687.35 3. P18,628.67Find the future value of an ordinary annuity if payments are made in the amount R and interest is compounded as given. Then determine how much of this value is from contributions and how much is from interest. R=16,000; 4.3% interest compounded quarterly for 11 years. The future value of the ordinary annuity is $__ (Round to the nearest cent as needed.) The amount from contributions is $__ and the amount from interest is $__. (Round to the nearest cent as needed.)
- Find the payment that should be used for the annuity due whose future value is given. Assume that the compounding period is the same as the payment period. 7) $8000; quarterly payments for 8 years; interest rate 4.1%.Given the following situations. Illustrate and distinguish whether it is a simple annuity or a general annuity. 1. Monthly payments of P3,000 for 4 years with an interest rate of 3% Flag compounded monthly 2. Semi-annual payments of P150,000 with an interest rate of 8% compounded rest annually for 10 years. 3. Annual payments of P20.500 with an interest rate of 8.5% compounded semi-annually for 3 years 4. Quarterly payment of P5,000 for 10 years with an interest rate of 2% and compounded quarterly. 5. Quarterly payment of P15.000 for 10 years with an interest rate of 8% compounded annually.3.) Find the present value of an annuity in perpetuity where payments are $1, 000 at the beginning of the first year, third year, etc. and payments are $1, 500 at the beginning of the second year, fourth year, etc. Here effective annual interest is 5%