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- Present using 1. ANNUAL WORTH METHOD 2. PAYBACK METHOD Rate of interest = 10%Show Solution. Topic: Simple Differed Annuity 2. A motorcycle costs P75,000. A buyer will pay P25,000 now and pay the balance in 5 annual payments. The first payment is due in 3 years. If money is worth 10% effective, how much is the annual payment?2 A company plans to buy a new delivery truck for pizza delivery for $30,000 which will generate $5,000 in added revenue per year. The truck comes with four years of prepaid maintenance and then maintenance will start in year five and will be $500 every six months. Insurance will be $600 per year increasing by 10% per year. The plan is to sell the vehicle at the end of 10 years and receive 20% of the purchase price for it. Show the cash flow diagram.
- Engr. Dela Cruz, the buyer of a certain equipment may pay either in 2,000.00 cash down payment and 2,000.00 annually for the next 6 years, or pay 3,500.00 cash and 2,000.00 annually for the next 5 years. A.) What type of annuity are the options of Engr. Dela Cruz?B.) If money is worth 12% compounded annually, which method of payment is better for Engr. Dela Cruz and how much?For the following questions, choose the letter of the best answer (showing work): 2.1. How many months would you have to put $500 per month into an account that earns 4% monthlyin order to accumulate $6,000?(a) 10 months(b) 65 months(c) 15 months(d) 5 months 2.2. A machine will need to be replaced 10 years from today for $10,000. How much must be depositednow into an account that earns 5% per year to cover the replacement cost?(a) $1,486(b) $6,139(c) $10,000(d) $4,810 2.3. An effective rate of 10% per quarter is closest to what effective rate per year?(a) 40.00%(b) 46.41%(c) 10.38%(d) 16.99% 2.4. If the internal rate of return (IRR) of Alternative A is 30%, the IRR of Alternative B is 25%, andMARR is 20%, which of the following is correct?(a) Not enough information is given to determine which alternative is preferred(b) Alternative A is preferred over Alternative B(c) Alternative B is preferred over Alternative A(d) Neither Alternative A nor Alternative B is acceptable 2.5.…Solve by using formulas. (Round your answer to the nearest cent.) Ordinary Annuity AnnuityPayment PaymentFrequency TimePeriod (years) NominalRate (%) InterestCompounded Future Valueof the Annuity (in $) $3,000 every 6 months 5 5.0 semiannually $
- SHOW COMPLETE DETAILS AND SOLUTION . 4. A new civil engineer employee start a savings plan in which he saves P 10,000 eachyear for 15 years. He makes her first payment at age 22 and after paying for 15 yearsshe leaves the accumulated sum in the savings plan until she reach age 65. If thesavings plan pays 10% per year, how much will be in the savings account when sheage 65?5. Mr. Jo needs P 4,000,000 immediately to pay for a new home. Having insufficientfund for this, he borrows P 2,000,000 from an insurance company and repay the loanevery six months for 15 years, the first payment being at the end of 8 years from now.If the insurance company charged him 8% compounded semiannually, how much isthe amount of each payment?4:09 470 3 of 3 Assignment 2-2022.pdf 420 ct the cash flow diagram for A mechanical device will cost $20,000 when purchased. Maintenance will cost $1000 per year. The device will generate revenues of $5000 per year for 5 years. The salvage value is $7000. 8. Each year Exxon-Mobil expends large amounts of funds for mechanical safety features throughout its worldwide operations. Carla Ramos, a lead engineer for Mexico and Central American operations, plans expenditures of $1 million now and each of the 2 next 4 years just for the improvement of field-based pressure- release valves. Construct the cash flow diagram and find the equivalent value of these expenditures at the end of year 4, using a cost of capital estimate for safety-related funds of 12% per year. 9. An electrical engineer wants to deposit an amount P now such that she can withdraw an equal annual amount of A1 $2000 per year for the first 5 years, starting 1 year after the deposit, and a different annual withdrawal of A2 =…3. Given the following data, use present worth analysis to find the best alternative, A, B, or C. Use an analysis period of 12 years and 15% interest. Initial cost Annual benefit Salvage value Useful life A $10,000 6,000 1,000 2 years B 15,000 10,000 -2,000 3 years с $12,000 5,000 3,000 4 years
- A man, pondering of retirement, determined that 300,000/year will be sufficientfor him to live without the need to work. Upon his retirement, howmuchmusthe invest in a bank that offers 5% interest rate to receive the amount everyyearcontinuously?3. Using an interest rate of 8% per year compounded annually and two gradients series, convert the following cash flows to a. Present value amount (P) b. Annual equivalent amount (A) c. Future sum at the end of the sequence (F) EOY 0 1 2 3 4 5 6 7 8 9 10 Amount 2000 1800 1600 1400 1200 1000 900 800*For what value of P in the cash flow diagram does the present valueequal 0? Please show all work. Picture attached.
