Engineering Economics (Annuity) 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 Future value of the payment and the amount being paid at the beginning of each month for 15 years? note: include cash flow diagram and complete/readable solution for this problem, this is 100% upvote guaranteed
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- (1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?For each of the following situations involving annuities, solve for the unknown. Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (/= interest rate, and n= number of years) Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1. PV of $1. FVA of $1. PVA of $1. EVAD of $1 and PVAD of $1) 1. $ 2 3 4. 15 Present Value Answer is complete but not entirely correct. Annuity Amount 2.200 145,000 190,000 72.523 45,787 8,784 558,865 480,945 520,000 240,000 8% 1.0% 9% 2.5% 10% n= 5 4 30 8 4SUBJECT: ENGINEERING ECONOMICS (a) Identify the Given and the Unknown or what is being asked in the problem (b)Provide the formula to be used (c)Show the complete solution. The final answer is already provided. What is the value of a perpetuity of P100 per year if the discount rate is 5% and the cash flows do not begin until two years from now? Answer: P = P1,814.05
- Solve the following question with complete solution and include cash flow diagram in handwritten ONLY: What is the present equivalent of an annuity of $1860 per year to be received for 15 years starting five years from now when the interest rate is 7% per year compounded bimonthly? (Round off interest rate to 5 decimal places and final answer to 2 decimal)Simple Annuity Solve the following problems. Show a complete and detailed solution. What is asked? What are given? Formula to be used and a detailed solution. Write legibly and neatly. 1. What is the present worth of a P1000 annuity starting at the end of the third year and continuing to the end of the fourth year, if the annual interest rate is 15%? 2. Find the annual payment to extinguish a debt P15,000 payable for 6 years at 12% interest annually. 3. A factory operator bought a diesel generator set for P 20,000.00 and agreed to pay the dealer uniform sum at the end of each year for 5 years at 8.5% interest compounded annually, that the final payment will cancel the debt for principal and interest. What is the annual payment? 4. A man paid 10% down payment of P200,000 for a house and lot and agreed to pay the 90% balance on monthly installment for 60 months at an interest rate of 10% compounded monthly. Compute the amount of the monthly payment. 5. What is the accumulated amount of…Find the present value PV of the annuity account necessary to fund the withdrawal given. (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $200 per month for 10 years, if the account earns 3% per year and if there is to be $10,000 left in the annuity at the end of the 10 years PV-S Need Help? www
- Subject: Engineering economics Topic: Deferred annuity Question: The present value of an annuity is payable annually for 2 years, with the first payment at the end of 10 years is 38,421. If money is worth 2.24%, what is the value of annuity? P.S MANUAL SOLVE THANKS!Determine the value of W on the right-hand side of the accompanying diagram that makes the two cash-flow diagrams equivalent when /=9% per year. Q $1,150 30 1 2 End of Year $1,150 3 4 5 $1,150 W Click the icon to view the interest and annuity table for discrete compounding when i=9% per year. End of Year The equivalent amount, "W", of the cashflows provided in the diagram is $ 1739. (Round to the nearest dollar.) W OUWhat is the future value (at the end of 8 years) of an annuity that pays $700 a quarter over 8 years with the payments invested at 9.3% per annum (assume compounding matches payment periods, common assumption for such problems)? (enter your answer in the following format 123456.78) Answer: Check
- Number of years to provide a given return In the information given in following case, determine the number of years that the given oridinary annuity cash flows must continue in order to provide the rate of return on the initial amount. (Click on the icon located on the top-right corner of the data table below in order to copy its contents into a spreadsheet.) Initial amount $112,100 Annual cash flow $25,622 Rate of return C 5% The number of investment years, n, is years. (Round to two decimal places.)Topic: Annuity DueSolve and show the solution. 1. Find the amount and the present value of an annuity due of P125 every quarter for 9 yrs and 6 months, if money is worth 5% converted quarterly. 2. Find the amount and the present value of an annuity due of P212 every month for 5 years and 5 months, if money is worth 12% compounded monthly. 3. An investment of P550 is made at the beginning of each month for 6 years and 10 months. If interest is 6% compounded monthly, how much will the investment be worth at the of the term? 4. An investment of P330 is made at the beginning of each six months for 6 years and 10 months. If the interest is 3 ½ % converted semiannually, how much is the total investment? 5. Molly purchased a car. He paid P70,000 down payment and P1,050 payable at the beginning of each month for 5 ½% years. If money is worth 7% compounded monthly. What is the equivalent cash price of the car? 6. A dining set is bought for P2,400down payment and P150 payable at the beginning of…This problem demonstrates the dependence of an annuity's future value on the size of the periodic payment. Suppose a fixed amount will be invested at the end of each year and that the invested funds will earn 5.3% compounded annually. What will be the future value of the investments after 15 years if the periodic investment is: (Do not round intermediate calculations and round your final answers to 2 decimal places.) Investment Future Value a. $2,300 per year $ b. S3, 300 per year $ c. S4, 300 per year $