Math 1140 - Fourrier - Nicolas Fourrier

Sep 4, 2012 - Using the banker's rule, Find the due date of an investment of $2, 000 at 5% made on ... The loan at 4% simple interest has maturity on 12/01.
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MATH 1140 - Section 001

Fall 2012

Quiz 01 Name:

September 04, 2012

Directions: Write legibly, the use of documents is forbidden, giving or receiving aid on this assignement is forbidden. You will get zero if any of these happen.

1. State the banker’s rule. Using the banker’s rule, Find the due date of an investment of $2, 000 at 5% made on the 3rd of December earning $5. 3 points

Answer The banker’s rule is the combination of exact time and ordinary interest. Recall the basic formula, I = P it, the unknown is t, the term. 5 , then multiply by 360 using ordinary interest to obtain the number of days between t = PIi = 2,000∗0.05 the signing date and the due date. The number of days is 18, thus the due date is the 21st of December.

2. On 01/01, Olivier buys a painting. On 06/01, he sells the car to Julie for $10, 000. Julie takes a loan to pay 80% of the car. The loan at 4% simple interest has maturity on 12/01. • Find the amount Julie will have to repay the loan on 12/01. • Assume during this year, that the price of the painting increases on average by 10%. How much have Olivier paid the painting ? 4 points

Answer 1 • Using the future value formula: S = 10, 000 × 80%(1 + 0.04 12 ) = 8, 160. On 12/01, Julie will pay $8, 160 to pay back her loan. 10,000 • Using the present value formula: P = 1+0.1× 5 = 9, 600. 12 On 01/01, Olivier bought the painting $9, 600.

3. Compute

Answer

PN

R(1 + i)n 3 points

PN

= R 1−(1+i) 1−(1+i)

n=0

R n=0 (1+i)n

N +1

=

R[(1+i)N +1 −1] i