1)A fund is to be donated by a wealthy man to provide annual scholarships to deserving students

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1)A fund is to be donated by a wealthy man to provide annual scholarships to deserving students. The fund will grant P30,000 each month for the first 5 years at 8% compounded monthly, P100,000 each quarter for the next 5 years at 8% compounded quarterly, and P500,000 each year thereafter at an effective rate of 8%. The scholarship will start one year after the fund is established. What is the amount of the donation? 2. What quarterly, semi-annual and annual payments will replace an annuity payable monthly for a loan of 1,000,000 to be paid in 5 years if the interest rate is 12% compounded monthly?
3.A Php 250,000 bond with a bond rate of 8% annually pays dividend semi-annually and is redeemable at par at the end of 5 years. Determine the purchase price to yield a holder, if the bond pays 10% compounded semi- annually.
4.Jewel makes year-end deposits of 1000 php the first year, 1050 php the second year and so on, increasing the next year's deposit by 5% in the preceding year until the end of the 20th year. Gem makes a year-end deposits of 1000 php each year increasing the next year's deposit by a constant amount of 100 php in the preceding year until the end of the 20th year. If interest on both funds is 10% compounded annually, What are the equivalent annuity of each savings? 5.A certain company makes it a policy that for any new piece of equipment, the annual depreciation lost should not exceed 10% of the First Cost while the Salvage Value is 10% of the First Cost. Determine the minimum length of service life in years (n ), necessary, if the depreciation method used is: SLM, SEM, SYM, DBM, DDBM.