If Php 1,000 becomes Php 5,734 after 15 years, when invested at an unknown rate of interest compounded semi-annually, determine the unknown nominal rate and corresponding effective rate.
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- Determine the ordinary and exact simple interests on Php 20,000 for the period from January 15 to June 20, 2019, if the rate of simple interest is 14%.In order to cut the cost of electricity consumption in a certain establishment, a solar-powered system was installed to supply the whole building’s demand. If the monthly electricity bill is Php12,500 when connected to MERALCO and the cost of a solar-powered system is Php370,000 with annual maintenance of Php3,000 increasing Php200 yearly, determine the number of years in order to pay back the cost of the equipment installed. Let the annual worth of the money be 20%. (Hint: Cash outflow for MERALCO Connection = Cash outflow for Solar Powered System Connection)Deferred Annuity Elmo is thinking of establishing a fund for his daughter’s college education. He wants his daughter to be able to withdraw P60,000 from the fund on her 18th birthday, again on her 19th birthday, again on her 20th birthday, up to her 23rd birthday. If the fund earns interest at 12% per year, compounded annually, how much should Elmo deposit at the end of each year, from the time his daughter reaches 5 years old up to her 17th birthday? Find the value after 20 years in pesos of an annuity of P120,000 payable annually for 8 years, with the first payment at the end of 2 years if money is worth 5%.
- A warehouse is initially rented for Php. 100, 000.00 a year. If the 10-year lease contract indicates that the rent increases by Php. 10,000.00 each year, determine the present worth of the lease. Money is worth 8% compounded monthly.The Pedernales Electric Cooperative estimates that the present worth now of income from an investment in renewable energy sources is $21,000,000. There will be no income in years 1 and 2, but in year 3 income will be $425,000, and thereafter it will increase according to an arithmetic gradient through year 15. What is the required gradient if the interest rate is 15% per year? Solve using factors. What is the required gradient? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.Answer completely.You will get up vote for sure.A factory operator bought a diesel generator set for Php 12, 500 and agreed to pay the dealer a uniform sum at the end of each year for 4 years at 5 % interest compounded annually, that the final payment will cancel the debt for principal & interest. What is the annual payment?
- A bond issue of P200,000 in 10-year bonds, paying 16% nominal interest in semiannual payments, must be retired by the use of a sinking fund that earns 12% compounded monthly. What is the total semiannual expense?A fund is to be donated by wealthy man to provide scholarships to deserving students. The fund will grant P6,000 for each semiannual of the first five years, P9000 for each quarter of the next five years, and P11,000 each month thereafter. The scholarship will start one semiannual after the fund is established. If the fund earns 8% per year compounded bimonthly, what is the amount of the donation?If you borrow money from Ms. Cruz at 15% simple interest rate, determine the future value of Php 38969 which is due at the end of 15 months. Note: Final answer round to the nearest whole number.
- A total of Php 5,000 is invested at a simple interest rate of 6% for 4 months. How much interest is earned on this investment?The company earned a revenue of PhP75,500 at the end of fourth year, but then decreases geometrically by 18% per year through year 20. Assume that the company invested PhP100,000 before the start the of the business. a) Determine the present worth equivalent of all revenues during this 20-year time period at an interest rate of 12% per annum. Answer in 2 decimal places. b) What will be the future equivalent of all revenues during this 20-year time period? Answer in 2 decimal places.c) What is the annual worth equivalent of these revenues during the 20-year time period? Answer in 2 decimal places.d) What is the internal rate of return (in percentage) of this investment? Answer in 2 decimal places.How much approx., would be the FW of P30,000 be worth after 50 years if a rate of 10%/yr (compounded monthly) is applied? * a. P4.36M b. P30.45M c. P6.45M d. P3.06M