Find the value of X such that the two cash flow transactions are economically equivalent at 12% compounded annually. $800 $800 $800 $800 $800 $800 1 2 3 5 2 3
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- You plan to retire in 30 years and plan to contribute the same amount of money each year to your retirement fund. The fund earns 7% compounded annually. If you would like to withdraw $100,000 each year for 20 years, starting 1 year after the last contribution is made. Approximately how much money should you contribute to your retirement fund each year?Compute the number of periods in order that the capital recovery factor for a uniform payment series be equal to 0.1424564 if money is worth 6% compounded semi - annually?What is the effective interest rate per payment period for an interest rate of 8% compounded monthly when the payment is annually ? a. 0.18 b. 0.125 c. 0.12 d. 0.083 e. 0.063
- Suppose that $100 is invested for five years at an interest rate of 8% per year, compounded annually. How much will be in the account at the end of five years? A. P = $100 (P/A,8%,5) = $100 (3.993) = $399.30 B. F = $100 (P/F,8%,5) = $100 (0.6806) = $68.06 C. F = $100 (F/A,8%,5) = $100 (5.867) = $586.70 D. F = $100 (F/P,8%,5) = $100 (1.469) = $146.90find the solution 6. A farmer bought a tractor costing P 12,000 if paid in cash. The tractor may be purchased installment to be paid within 5 years. Money is worth 8% compounded annually. Determine the amount of each annual payment if all payments are made at the beginning of each year of the 5 years. Answer: P 2,782.85Solve the following, using interest at 7% compounded annually: a) What is the amount that will be accumulated in a sinking fund at the end of 15 years if $200 is deposited in the fund at the beginning of each of the 15 years if $200 is deposited in the fund at the beginning of each of the 15 years? b) Uniform deposits are to be made on January 1 of 1991, 1992, 1993, and 1994 into a fund that is intended to provide $1,000 on January 1 of 2005, 2006, and 2007. What must be the size of these deposits?
- What is the future worth of the following seriesof payments?(a) $9,000 at the end of each year for 6 years at11.25% compounded annually.(b) $4,500 at the end of each year for 15 years at4.75% compounded annually.(c) $8,000 at the end of each year for 18 years at6.45% compounded annually.(d) $6,200 at the end of each year for 20 years at8.5% compounded annually.4. 13. What payment X 10 years from now is equivalent to a payment of P500,000 7 years from now, if interest rate is 12% compounded semi-annually?You borrowed $35,000 to buy a new car from abank at an interest rate of 10.2% compounded monthly.This loan will be repaid in 96 equal monthly installments over eight years. Immediately after the 36thpayment, you desire to pay the remainder of the loanin a single payment. Compute this lump-sum amount
- You deposit $100 now, and another $100 at the end of 20 years. The account earns a nominal discount rate of 4% compounded monthly for the first 20 years, and a nominal discount rate of d(52) compounded weekly thereafter. If the account has $700 at the end of 40 years then find this nominal discount rate compounded weekly.A debt of P 15,000 was paid for as follows: P 4,000 at the end of 3 months, P 5,000 at the end of 12 months, P 3,000 at the end of 15 months, and a final payment F at the end of 21 months. If the rate of interest was 18% compounded quarterly, find the final payment F.An amount of P50 000 is deposited every end of the year. How many years are required so that the sum of these deposits will be equal to P1 000 000 if rate of interest is 6% compounded continuously? a. 13.42 b. 14.86 c. 15.50 d. 16.32