Annuity And Depreciation

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ANNUITY

ANNUITY - is a series of equal payments occuring at equal periods of time. MAY TATLONG URI NG ANNUITY: 1. Ordinary ANNUITY 2. EXACT ANNUITY 3. DEFERRED ANNUITY

Sample What is the present worth of $500 Php deposited at the end of every three months for six years if the interest rate of 12% compounded semi-annually?

$8,504

A mechanical engineer wishes to set up fund by making uniform semi-annual end-of-the-period deposits for 20 years. The fund is to provide P100,000 at the end of each of the last five years of the 20 year period. If the interest is 8% compounded semi-annually, what is the required semi-annual deposit to be made?

P6, 193.39

A debt of P5,000 which interest at 12% compounded semi-annually is to be amortized by equal semi-annual payments over the next 3 years, the first due in 6 months. Find the semi-annual payment.

P1,016.82

A man bought an equipment costing $60,000 payable in 12 quarterly payments, each instalment payable at the beginning of each period. The rate of interest is 24% compounded quarterly. What is the amount of each payment?

$7,371.91

A certain property owner received two bids. The first bidder offered to pay P400,000 each year for 5 years, each payment to be made at the beginning of each year. The second bidder offered to pay P240,000 first year, P360,000 the second and P540,000 each year for the next 3 years, all payments to be made at the beginning of each year. If the money is worth 20% compounded annually, which bid should the company accept? Bid 1: P1, 435, 480. Bid 2: P1, 487,875, choose Bid 2

A debt of P40,000, whose interest rate is 15% compounded semi-annually, is to be discharged by a series of 10 semi-annual payments, the first payment to be made 6 months after consummation of the loan. The first 6 payments will be P6,000 each, while the remaining 4 payments will be equal and of such amount that the final payment will liquidate the debt. What is the amount of 4 payments? P5,454

Uniform Arithmetic Gradient

SAMPLE A loan was to be amortized by a group of four end-of-year payments forming an ascending arithmetic progression. The initial payment was to be P5,000 and the difference between successive payments was to be P400. But the loan was renegotiated to provide for the payment of equal rather than uniformly varying sums. If the rate of the loan was 15%, what was the annual payment? 5,530.51

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