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- Investments Jack invests $1000 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. If he receives a total of $190 interest in I year, at what rate is the $1000 invested?Draw the cash flow diagram for each of the following situations. (a) Today, you invest P100,000 into a fund that pays 28% interest compounded annually. Three years later, take a P50,000 loan from a bank at 20% annual interest and invest it in the fund. Two years later, you withdraw enough money from the fund to repay your loan from the bank and all interest due on it. Three years from this withdrawal you start taking P20,000 per year out of the fund. (b) A person deposits P10,000 each year for 9 years. He then withdraws annually from the bank P5,000 for 8 years starting 1 year after the 9th deposit is made. (c). An engineer wishes to set up a special fund by making uniform semiannual end-of-period deposits for 20 years. The fund is to provide P25,000 at the end of each of the last five years of the 20-year period. The interest is 8% compounded semiannually.4:09 Assignment 2-2022.pdf 4. Construct a cash flow diagram to find the present worth in year 0 at an interest rate of 12% per year for the following situation. Year Cash Flow, $ 0 5. Construct a cash flow diagram that represents the amount of money that will be accumulated in 20 years from an investment of $30,000 now at an interest rate of 10% per year. 6. for the cash flow diagram shown, what are the present and the future worth in year 4? i = 7%/semiannual period 1 2 470 3 420 2 4 370 0 1-5 5 320 6 3 270 7 Y 220 4 -15,000 +8,500 8 200 :!!! 5G Years Semiannual periods 7. Construct 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,…
- Consider a student loan of $12,500 at a fixed APR of 9% for 30 years. a. Calculate the monthly payment. b. Determine the total amount paid over the term of the loan. c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest. a. The monthly payment is $ (Do not round until the final answer. Then round to the nearest cent as needed.)The factor ( 1 + i ) n in the formula is known as the future-value factor (FVF) or _____________ factor of a single amount. Select one: a. compound-interest b. capital-interest c. original-investment d. variable-interest.You invest $10,000 in a fund that pays 7% per year for 5 years. How much is in the fund at the end of 5 years if (forgetting leap years and making “convenient” assumptions): a. Compounding is annual? b. Compounding is quarterly? c. Compounding is monthly? d. Compounding is daily?
- # 5- According to the cash flow diagram below, for the case where the cost of capital is 25%; Calculate the present (P), the end of the 5th year (F) and the annual equivalent (A) value of money1. Jessica buys a television set from a merchant who asks P14,000.00 at the end of 80 days. She wishes to pay the merchant immediately and the money assumed 10% of simple interest. What is the cash price today? Draw the cash flow diagram. 2.How long does it takes a principal of P25,000 at a simple interest rate of 5% per year to become P30,000? Draw the cash flow diagram. 3. Determine the ordinary and exact simple interest on $5,000 for the period from January 15 to June 20,2015 if the rate of simple interest is 14% 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? 5. A factory operator bought a diesel generator set for P10,000 and agreed to pay the dealer uniform sum at the end of each year for five years at 8% compounded annually, that the payment will cancel the debt and principal interest. What is the annual payment?A bank features a savings account that has an annual percentage rate of r = 2.9% with interest compounded semi-annually. Chris deposits $4,000 into the account. The account balance can be modeled by the exponential formula S(t) P = n future value, P is the present value, r is the annual percentage rate, n is the number of times each year that the interest is compounded, and t is the time in years. (A) What values should be used for P, r, and n? r = n = nt r = P(1 + where S is the (B) How much money will Chris have in the account in 9 years? Answer = $ Round answer to the nearest penny. " (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year). APY = Round answer to 3 decimal places.
- 1. You needed $10,000 and obtained the following loan: Loan specifics: You are expected to pay 24 equal monthly installments (SA per month) at APR 12%, compounded monthly, starting from a month from obtaining the loan. If you miss a payment, your APR goes up to 24%, duration of the loan does not change but your monthly fixed payments go up. You miss your 12th payment. On the day of your 13th payment, the bank offers you a new deal. If you pay an additional $820 at the time of your 13th payment, you will continue to make your payments as before with no interest hike. a) Would you prefer to make the additional payment or have the interest hike?UPVOTE WILL BE GIVEN. DRAW THE CASH FLOW DIAGRAM. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. NO LONG EXPLANATION NEEDED. BOX THE FINAL ANSWER. An individual makes five annual deposits of $100,000 in a savings account that pays interest at a rate of 4% per year. One year after making the last deposit, the interest rate changes to 6% per year. Five years after the last deposit, the accumulated money is withdrawn from the account. How much is withdrawn?2. 3. You borrow $80,000 at 5.00% per year and will pay off the loan in equal payments starting one year after the loan is made over a period of ten years. What are the annual end-of-year payments? Determine the amount of interest and principal that are paid each year. What is the total interest paid for the loan? A distillation column is designed, purchased and installed for a cost of $? 6 million Tha