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問題一覧
1
The purchase amount of equipment, P 100,000, has been made available through a loan which earns 12% per annum. It has been agreed that the loan be payable in 10 equal payments. How much then is the yearly due?
17,698.42
2
How many yearly withdrawals of P100 000 can be made from 1-million-peso investment at 10%?
70,098 years or ∞
3
A new company developed a program in which the employees will be allowed to purchase shares of stock of the company at the end of fifth year of operation when the company is thought to have stability already at par value of P100.00 per share. Believing in the good potential of the company, an employee decided to save in a bank the amount of P8 000 at the end of every year which will earn him 9% interest. How many shares of stock will he be able to purchase at the end of the fifth year of his yearly deposits?
478,877.68 and 478.00
4
An engine costing P40,000 may be purchased on an installment basis by paying P 10,000 down payment, P 5, 000 at the end of the first year and five equal payments beginning at the end of the second year. Determine the amount of these equal payments. Money is worth 12% per year.
7,993.92
5
The president of a growing engineering firm wishes to give each of 50 employees a holiday bonus. How much is needed to invest monthly for a year at 12% nominal interest rate, compounded monthly, so that each employee will receive a P 1,000.00 bonus?
3,942.44
6
A P10,000 loan is to be paid off in 10 equal annual payments. The annual interest rate is 15%. How much interest will be paid in the first two years?
2,926.12
7
A piece of machinery can be bought for P 10,000 cash, or for P 2,000 down and payments of P750 per year for 15 years, what is the annual interest rate for the time payments?
0.0459 or 4.6%
8
What is the present worth of a 3-year annuity paying P 3000 at the end of each year, with interest at 8% compounded annually?
7,731.29
9
A fund is to provide an annual scholarship at P4000 for the first 5 years; P6000 for the next 5 years and P9000 thereafter. The fund will be established 1 year before the first scholarship is awarded. If the fund earns 12% interest, what sum must be deposited?
50,840
10
Engr. Joaquin borrows P60,000 at 12% compounded annually, agreeing to repay the loan in 15 equal annual payments. How much of the original principal still unpaid after he has made the 8th payment?
40,204.26 and 40,204.19
11
What is the future of P 600 deposited at the end of every month for 4 years if the interest rate is 12% compounded quarterly?
r=0.1188 and 36,642.82
12
Mr. Ramirez borrowed P 15,000.00 two years ago. The term of the loan is at 10% interest for 10 years with uniform payments. He just made his second annual payment. How much principal does he still owe?
2,441.18 and 10,117.64
13
A sinking fund consists of 15 annual deposits of P 1000 each, with interest earned at the rate of 4% compounded annually. What is the principle in the fund at its terminal date?
20,023.59
14
A cash flow diagram represents investment of P6000 and an equal revenue of x pesos at the end of years one, two, and three. At a interest rate of 15% compounded annually, what must x be for this cash flow to have a net present worth of approximately zero?
2,628
15
The officers of PSME desire to award a P3600 scholarship annually to deserving mechanical engineering students for as long as scholarship fund shall last. The fund was started July 1, 1987, by a donor in the amount of P18000. The PSME invested this sum at that time at 8% per annum and plans on adding P600 each year to the fund from its dues starting July 1, 1988, for as long as the awards are made. For how many years starting July 1, 1988, can scholarship be awarded and what will be the balance in the fund after the last award is made?
1,406.8
16
In anticipation of a much bigger volume of business after 10 years, a fabrication company purchased an adjacent lot for its expansion program where it hopes to put up a building projected to cost P4,000,000.00 when it will be constructed 10 years after. To provide for the required capital expenses, it plans to put up a sinking fund for the purpose. How much must the company deposit each year if interest to be earned is computed at 15%?
197,008.25
17
If P10,000 is deposited each for 9 years, how much annuity can a person get annually from the bank every year for 8 years starting one year after the 9th deposit is made? The cost of money is 14%.
34,675.19
18
A car dealer advertises the sale of a car model for a cash price of P280,000. If purchased on installment, the required down payment is 15% and the balance payable in 18 equal monthly installments at an interest of 1.5 % per month. How much will be the required monthly payment?
15,185.77
19
For having been loyal, trustworthy and efficient, the company has offered a supervisor a yearly gratuity pays of P20 000 for 10 years w/ the first payment to be made one year after his retirement. The same supervisor, instead, requests that he be paid a lump sum on the date of his retirement less interest than the company would have earned if the gratuity is to be paid on yearly basis. If interest is 15%, what is the equivalent lump sum that he could get?
100,037.54
20
Nadine borrowed P 50 000 from SSS in the form of calamity loan, with interest at 8% compounded quarterly payable in equal quarterly installments for 10 years. Find the quarterly payment.
1,827.79
21
Mr. Ayala borrows P 100, 000 at 10% effective annual interest. He must pay back the loan over 30 years with uniform monthly payments due on the first day of each month. What does Mr. Ayala pay each month?
870.32
22
Mr. Ayala borrows P 100, 000 at 10% effective annual interest. He must pay back the loan over 30 years with uniform monthly payments due on the first day of each month. What does Mr. Ayala pay each month?
870.32
23
Mr. Ayala borrows P 100, 000 at 10% effective annual interest. He must pay back the loan over 30 years with uniform monthly payments due on the first day of each month. What does Mr. Ayala pay each month?
870.32
24
What is the present worth of P 1000 monthly deposit at 2% per month for one year if the payments are made at the beginning of each month?
10,786.85