LA SALLE COLLEGE ANTIPOLO 1985 LA SALLE AVENUE, TOWN & COUNTRY HEIGHTS SAN LUIS, ANTIPOLO CITY, 1870 RIZAL, PHILIPPINES
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1 LA SALLE COLLEGE ANTIPOLO 1985 LA SALLE AVENUE, TOWN & COUNTRY HEIGHTS SAN LUIS, ANTIPOLO CITY, 1870 RIZAL, PHILIPPINES BMATH2: Mathematics of Investment Problem Set 2 Name: Date: February 22, 2016 Course: Score: General Instruction: Read and analyze the following problem carefully, then solve afterwards. Kindly write the given and the formula to be used. Show your complete solution on the space provided for. Special Instruction: Please round off the final answer only to the nearest hundredths, and observe the correct rounding off. Also, please make sure to put the correct sign (i.e. % if rate of interest, peso sign, and years if asking for time). Lastly, please avoid any form of erasures. ERASURES mean WRONG. Part I: Time between Two Dates 1-8. Mr. Kaifanget borrowed P6, on October 3, He promised to repay the loan after 3 months, together with the interest at 8% interest rate. However, he was unable to repay the debt on time. When he settled the loan on March 16, 2014 he was required to pay 9 1/2% on the unpaid amount for the time after the due date. How much did he pay?
2 9-20. Ms. Kaivaho invested an amount of P20, on January 28, 2008 at 6% per annum. Compute the amount of interest earned on December 12, 2008, using: (a) actual time, ordinary interest method; (b) approximate time, ordinary interest method; (c) actual time, exact interest method; and (d) approximate time, exact interest method.
3 Part II: Promissory Note Mrs. Mapagparaya holds a 180-day note dated December 25, Sixty days after the said date, she sold note to a bank at 9.5% simple discount. If the face value of the note is P20,000.00, subject to 8% simple interest, determine the following: (a) maturity date; (b) maturity value; (c) the date the note was discounted; and (d) the proceeds.
4 Part III: The Concept of Compound Interest (The Long Method) Direction: Using the long method for computing the compound interest, solve the following problem. Kindly indicate your solution on the space provided for Find the compound amount and compound interest if P25, is invested for 1 year at the rate of 10% compounded: (a) annually (for 5 points) (b) semi-annually (for 8 points) (c) quarterly (for 12 points)
5 (e) monthly (for 15 points)
6 Part IV: The Compound Amount Using the Formula Derive the formula for finding the Compound Amount (S) and Compound Interest (I). In each step, support your derivation with logical and mathematical reasons. Please write it on the space provided for Mr. Pinagpala owes Mr. Matulungin P30, due now. Mr. Pinagpala offers to pay the Principal a simple interest at the rate of 5% after 5 years. Mr. Matulungin insists on charging 5% compounded quarterly. Who benefits from the offer? By how much?
7 Part V: Finding the Present Value at Compound Interest Derive the formula for finding the Present Value (P) at a Compound Interest. In each step, support your derivation with logical and mathematical reasons. Please write it on the space provided for Mrs. Mapagmahal wants to provide a P200, graduation gift for her son Kayumanggi. He is now 16 years old, and she would like the fund to be available by the time he is 20. She decides on an investment that pays 10% compounded quarterly. How large must be the deposit be?
8 Part VI: Compound Amount at a Fraction of a Period What is the compound amount of P3, after 9 years and 8 months at 8% compounded semiannually? On April 9, 2002, Mrs. Kayputi borrowed P38, She agreed to pay the principal and the interest at 10.5% compounded semiannually on February 9, How much will she pat then?
9 Part VII: Present Value at a Fraction of a Period If P25, is due in 4 years and 9 months, find its present value. Money is worth 8% compounded annually A debt of P10, is due in 2 years and 7 months. If Mrs.Tamanghinala wishes to pay her creditor now who charges 9% compounded semiannually in discounting the debt, how much would she have to pay?
10 Part VIII: Finding the Nominal Rate at Compound Interest Derive the formula for finding the Nominal Rate (j) at a Compound Interest. In each step, support your derivation with logical and mathematical reasons. Please write it on the space provided for Mrs. Mapaghimala paid P16, for a P24, face value having 6 years remaining until maturity. What semiannually compounded rate of return will she earn on her investment?
11 Part IX: Finding the Time at Compound Interest Derive the formula for finding the Time (t) at a Compound Interest. In each step, support your derivation with logical and mathematical reasons. Please write it on the space provided for When is P47, due if its present value of P38, is invested at 9% compounded bimonthly?
LA SALLE COLLEGE ANTIPOLO 1985 LA SALLE AVENUE, TOWN & COUNTRY HEIGHTS SAN LUIS, ANTIPOLO CITY, 1870 RIZAL, PHILIPPINES
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LA SALLE COLLEGE ANTIPOLO 1985 LA SALLE AVENUE, TOWN & COUNTRY HEIGHTS SAN LUIS, ANTIPOLO CITY, 1870 RIZAL, PHILIPPINES
LA SALLE COLLEGE ANTIPOLO 1985 LA SALLE AVENUE, TOWN & COUNTRY HEIGHTS SAN LUIS, ANTIPOLO CITY, 1870 RIZAL, PHILIPPINES BMATH2: Mathematics of Investment Problem Set 1 Name: Date: January 18, 2016 Course:
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