2. Using the data in Problem no. 1, construct an amortization schedule showing the principal at the beginning of the year, the annual interest, annual payment and the principal repaid.
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- 1. Find the semi-annual payment of a P15,000 debt to be amortized by 5 equal payments at the end of each 6 months at a rate of 15% compounded semi-annually. The first payment is to commence 3 years after. a. P 5.300.75 b. P 4,333.65 c. P 5,322.55 d. P 4.200.11 2. Using the data in Problem no. 1, construct an amortization schedule showing the principal at the beginning of the year, the annual interest, annual payment and the principal repaid.3. An amortization of a debt is in a form of a gradient series of P5,000 on the first years, P4,500 on the second year, P4,000 on the third year and P3,500 on the fourth year. What is the equivalent present worth of the debt if interest is 5%?Determine the present worth of an annuity consisting of 6 payments of P 120,000 each, the payment are made at the beginning of each year. Money is worth 15% compounded annually. a. P 52,226.40 b. P 134,879.78 c. P 120,801.60 d. P 35,876.98
- What is the present worth of a year annuity paying P 3,000.00 at the end of each year, with interest at 8% compounded annually? A. P 7,654.04 B. P 7,731.29 C. P 7,420.89 D. P 7,590.12Give typing answer with explanation and conclusion 41. A man inherited a regular down payment of P200,000 every end of 3 months for 10 years. However, he may choose to get a single lump sum payment at the end of 4 years. How much is this lump sum if the cost of money is 14% compounded quarterly? a. P 3,702,939.73 b. P 7,405,879.46 c. P 2,188,122.11 d. No correct answer in the choices6. Elmo borrowed $25,000 from the Statler & Waldorf Bank at 12% APR, compounded monthly. The loan is to be repaid in equal monthly payments over a 5 year period. (No statements required for this question. Just find the numbers asked for.) What is the interest payment in the 25th period? Question 2 Part C: Provide the formulas for the calculation of the interest payment in one period, and the remaining balance after n periods (no subscripts or superscripts required). 7. Elmo borrowed $25,000 from the Statler & Waldorf Bank at 12% APR, compounded monthly. The loan is to be repaid in equal monthly. payments over a 5 year period. (No statements required for this question. Just find the numbers asked for.) What is the interest payment in the 25th period? Question 2 Part D: Provide the interest payment in the 25th period.
- 6. A fund for replacement of machinery in a plant must contain P30,000 at the end of 9 years. If the fund is invested at 3.5% compounded semi-annually, what equal deposits should be placed in the fund at the end of each 6 months for the first four years? a. P2,964.64 b. P2,892.42 c. P3,122.38 d. P3,262.42Arriane borrows $10,000 at an interest rate of 8% compounded annually and wishes to repay the loan over a 4 year period with annual payments such that the second is $500 greater than the first payment, the third payment is $1,000 greater than the second payment and the fourth payment is $2,000 greater than the third payment. The amount of first payment is: A. $ 1,985.57 B. $ 1,873.67 C. $ 2,206.27 D. $ 1,753.5516. By conditions of a will, the sum of P 20,000 is left to a girl to be held in trust fund by her guardian until it amounts to P 50,000. When will the girl receive the money if the fund is invested at 8% compounded quarterly? a. 11.23 years b. 11.46 years c. 11.57 years 11.87 years d.
- Compute the effective annual interest rate in each of these situations: a. 9% nominal interest, compounded semiannually. b. 9% nominal interest compounded quarterly. c. 9% nominal interest compounded weekly.A debt of $40,000 whose interest rate is 15% compounded semiannually, is to be discharged by a series of 10 semiannual payments, the first payment is to be made 6 months after consummation of the loan. The first 6 payments will be $6,000 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 the last 4 payments?1a) Jane and John have found a house, which owing to a depressed real estate market costs only $201,500. They will put $22,000 down and finance the remainder with a 30-year mortgage loan of 4.65% compounded monthly. i. How much will their monthly loan payment be? ii. How much interest will they pay in the second payment? 1b.) They will also have the following expenses: property taxes of $2,100, homeowner's insurance of $1,625, and $290 mortgage insurance (in case on of them dies before the loan is repaid, a requirement from the bank). These annual amounts are paid in 12 installments and are added to the loan payment. What will their full monthly cost be? i.) If they can afford $1200 a month, can they afford the house?