4. P60,000.00 is placed in an account at 4% compounded annually for 2 years. It is then withdrawn at the end of the two years and placed in another bank at the rate of 5% compounded semi-annually for 4 years. What is the balance in the second account after the 4 years?
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- Determine the equivalent amount pf money at the beginning of the second year if interest is 6% per year, compounded monthly1. Mr. Nara borrows P600,000 at 12% compounded annually agreeing to repay the loan in 15 equal payments. How much of the original principal is still unpaid after he has made the 8th payment? 2. The present value of an annuity of “P” pesos payable annually for 8 years, with the first payment at the end of 10 years, is P187,481.25. Find the value of “P” if money is worth 5% 3. Find the present value of an annuity of P30,000 payable annually for 10 years with the first payment at the end of the 10th year, if the money is worth 8% compounded annually.A corporation sold an issue of 20 year bonds, having a total face value of P10M for P9.5M. The bonds bear interest at 16% payable semiannually. The company wishes to establish a sinking fund for retiring the bond issue and will make semiannual deposits that will earn 12% compounded semiannually. Compute for the annual cost for interest and redemption of these bonds.
- A corporation sold an issue of 20-year bonds, having a total face value of P10,000,000 for P9,500,000. The bonds bear interest at 16% payable semi annually. The company wishes to establish a sinking fund for retiring the bond issue and will make semi annual deposits that will earn 12%, compounded semi annually. Compute the annual cost for the interest and redemption of these bonds.You are asked by the manager of your company to determine the sum required to buy a company car and then replace it and succeeding cars, every 3 years up to a period of 24 years. The trade-in value at the end of each 3 years is estimated to be P 11,000 and it costs P 25,000 delivered. Yearly operating costs, including depreciation are estimated to be P 8,500 annually. The endowment funds are to be invested at 6%. The fund is to have a balance of P 25,000 remaining at the end of 24 years. 113,078.72 55,190.67 104,578.72 106,678.04 115,178.03 199,443.85Mr.X makes a deposit of 10,000 OMR in an account at the end of every year. After 5 years he receives a raise and then makes deposit of 12,000 OMR every year. What is the balance in the amount after 8 years assuming an APR of 4% compounded yearly. Show the neat cash flow diagram.
- ENGINEERING ECONOMICS Dr. Max borrowed P3, 500, 000 at 8% for 10 years. The loan stipulated that the following payments have to be made: P150, 000 at the end of the 1styear to the 3rd year; P200, 000 at the end of the 4th to the 5th year; P300, 000 at the end of the 6th to the 7th year; P400, 000 at the end of the 8th to the 9th year; and a final payment at the end of the 10th year. What should be the amount (Q) of the final payment?Miw deposited P15, 000 each year for 10 years, how much annuity can Miw get annually from the bank every year for ten years starting one year after his last deposit. Rate of interest is 8%.John-X Corporation borrowed P9,000 from Bell-Z Corporation on Jan. 1, 1978 and P12,000 on Jan. 1, 1980. John-X Corporation made a partial payment of P7,000 on Jan. 1, 1981. It was agreed that the balance of the loan would be amortized by two payments, one on Jan. 1, 1982 and the other on Jan. 1, 1983, the second being 50% larger than the first. If the interest rate is 12%, what is the amount of first payment?
- 4. For a deposit of $ 1023 at 7.8% interest compounded continuously over 4 years, find the interest earned? 5. Irish is offered to invest in a business firm that will make her money earn 6% compounded bimonthly. How long will it take for her money to triple?10. Cheska invests P 60000 into an index annuity that has an average of 8.4% compounded semi-annually. At this rate, how many years for her account to reach P 1500000? 11. Richard has P 7000 invested in a bank, it is compounded bimonthly at 12% on average per annum, find the compounded interest at the end of 8 years. 12. If the proceeds of P 2000 will be paid with P 2400 at the end of 10 months, find the discount rate.12. An asset is purchased for P120,000.00. Its estimated economic life is 10 years, after which it will besold for P12,000,00. Find the depreciation for the first year using the sum-of-the-year's digit. (SOYD). with cash flow 13. An asset is purchased for P9,000.00. Its estimated life is 10 years, after which it will be sold forP1,000.00. Find the book value during the third year if sum-of-the-year's digit (SOYD) depreciation is used with cash flow