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Q:

A chartered bank offers a five-year Escalator Guaranteed Investment Certificate.In successive years it pays annual interest rates of 4%, 4.5%, 5%, 5.5%, and 6%, respectively, compounded at the end of each year. The bank also offers regular five-year GICs paying a fixed rate of 5% compounded annually. Calculate and compare the maturity values of $1000 invested in each type of GIC. (Note that 5% is the average of the five successive one-year rates paid on the Escalator GIC.)

A) 1276.28 B) 1234
C) 1278 D) 1256
 
Answer & Explanation Answer: A) 1276.28

Explanation:

FV = $1000(1.04)(1.045)(1.05)(1.055)(1.06) = $1276.14

 the maturity value of the regular GIC is

 

 FV = $ 1000 x 1.055=  $1276.28

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

4 6450
Q:

What periodic payment will an investor receive from a $9000, four-year, monthly payment GIC earning a nominal rate of 5.25% compounded monthly?

A) 29.38 B) 39.38
C) 49.38 D) 59.38
 
Answer & Explanation Answer: B) 39.38

Explanation:

i=j/m

The monthly payment will be=PV*I

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 4466
Q:

Two payments of $10,000 each must be made one year and four years from now. If money can earn 9% compounded monthly, what single payment two years from now would be equivalent to the two scheduled payments?

A) 17296 B) 13296
C) 19296 D) 15296
 
Answer & Explanation Answer: C) 19296

Explanation:

i=j/m

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

1 4061
Q:

What amount must you invest now at 4% compounded monthly to accumulate $10,000 after 3 year

A) 8695 B) 7695
C) 3695 D) 4695
 
Answer & Explanation Answer: A) 8695

Explanation:

Given: j = 4%, m=  12, FV = $10,000, Term=  3.5 years
Then n  =m  *Term  12(3.5)  42

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 3105
Q:

Kramer borrowed $4000 from George at an interest rate of 7% compounded semiannually. The loan is to be repaid by three payments. The first payment, $1000, is due two years after the date of the loan. The second and third payments are due three and five years, respectively, after the initial loan. Calculate the amounts of the second and third payments if the second payment is to be twice the size of the third payment.

A) 1389 B) 1359
C) 1379 D) 1339.33
 
Answer & Explanation Answer: D) 1339.33

Explanation:

Given:j=7% compounded semiannually making m=2 and i = j/m= 7%/2 = 3.5%
Let x represent the third payment. Then the second payment must be 2x.
PV1,PV2, andPV3 represent the present values of the first, second, and third payments.

Since the sum of the present values of all payments equals the original loan, then
PV1 + PV2  +PV3  =$4000 -------(1)

PV1   =FV/(1 + i)^n  =$1000/(1.035)^4=  $871.44

At first, we may be stumped as to how to proceed for
PV2 and PV3. Let’s think about the third payment of x dollars. We can compute the present value of just $1 from the x dollars

pv=1/(1.035)^10=0.7089188

PV2   =2x * 0.7089188 = 1.6270013x
PV3   =x * 0.7089188=0.7089188x
Now substitute these values into equation ➀ and solve for x.
$871.442 + 1.6270013x + 0.7089188x  =$4000

2.3359201x  =$3128.558

x=$1339.326
Kramer’s second payment will be 2($1339.326)  =$2678.65, and the third payment will be $1339.33

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 4581
Q:

Two payments of $10,000 each must be made one year and four years from now. If money can earn 9% compounded monthly, what single payment two years from now would be equivalent to the two scheduled payments?

A) 19296 B) 19396
C) 19496 D) 19596
 
Answer & Explanation Answer: A) 19296

Explanation:

The single equivalent payment will be PV + FV.
FV = Future value of $10,000, 12 months later
 $10,000 *(1.0075)/12
 $10,938.07
PV=  Present value of $10,000, 24 months earlier
 $10,000/(1.0075)24
 $8358.31
The equivalent single payment is
$10,938.07 + $8358.31 = $19,296.38

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

2 5031
Q:

Mr. and Mrs. Espedido’s property taxes, amounting to $2450, are due on July 1.What amount should the city accept if the taxes are paid eight months in advance and the city can earn 6% compounded monthly on surplus funds?

A) 2354.17 B) 2354
C) 2376 D) 2389
 
Answer & Explanation Answer: A) 2354.17

Explanation:

i=j/m

PV=  FV(1+  i)^-n 

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

1 4552
Q:

Which among the following is a system call used for process management

A) fork() B) exec()
C) getppid() D) All the above
 
Answer & Explanation Answer: D) All the above

Explanation:

All the above listed are the System calls for process management

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Filed Under: Operating Systems
Exam Prep: GATE
Job Role: Software Architect

0 4585