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german
3 years ago
5

You plan to invest some money in a bank account. Which of the following banks provides you with the highest effective rate of in

terest?a. Bank 1; 6.1% with annual compounding.b. Bank 2; 6.0% with monthly compounding.c. Bank 3; 6.0% with annual compounding.d. Bank 4; 6.0% with quarterly compounding.e. Bank 5; 6.0% with daily (365-day) compounding.
Business
1 answer:
Lubov Fominskaja [6]3 years ago
7 0

Answer:

Option (d) , Bank 4 offers the highest amount after a year

Explanation:

The total amount from each of the interest rates can be expressed as;

A=P(1+r/n)^nt

where;

A=Future value of investment

P=Initial value of investment

r=Annual interest rate

n=Number of times the interest is compounded annually

t=number of years of the investment

a). Bank 1

P=x

r=6.1%=6.1/100=0.061

n=1

t=assume number of years=1

replacing;

A=x(1+0.061/1)^(1×1)

A=x(1.061)

A=1.061 x

b). Bank 2

P=x

r=6%=6/100=0.06

n=12

t=1

Replacing;

A=x(1+0.06/12)^(12×1)

A=x(1.005)^12

A=1.0617 x

c). Bank 3

P=x

r=6%=6/100=0.06

n=1

t=1

Replacing;

A=x(1+0.06/1)^(1)

A=1.0600 x

d). Bank 4

P=x

r=6%=6/100=0.06

n=4

t=1

A=x(1+0.06/4)^(4×1)

A=x(1+0.015)^4

A=x(1.061)

A=1.0614 x

e). Bank 5

P=x

r=6%=6/100=0.06

n=365

t=1

A=x(1+0.06/365)^(365×1)

A=1.0618

Option (d) , Bank 4 offers the highest amount after a year

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3 years ago
Melissa invests $37,000 today in a savings account that pays 4 percent interest compounded annually. She wants to know the total
MissTica

Answer:

a. N = 7, I/Y = 4, PV = -37,000

Explanation:

In financial calculator % is already written in the calculator so we have to write only number in calculator.

Option b incorrect because it has included a number with % ( 4% ) sign that we dint do usually in calculator.

Option c is incorrect because it has taken pv as positive

Option d is incorrect because it has written 4% that we don't put in calculator as well as it has inserted positive pv which is also wrong.

7 0
4 years ago
Bruce has a credit card that uses the average daily balance method. For the first 9 days of one of his billing cycles, his balan
Mice21 [21]

Answer:

$31.61

Explanation:

In order to determine the amount of interest charged you must first calculate the average daily balance:

average daily balance = [($2,030 x 9) + ($1,450 x 22)] / 31 = $1,618.39

Now we must calculate the daily interest rate:

daily interest rate = 23% / 365 = 0.063%

Finally we multiply the average daily balance times the daily interest rate times the number of days in the billing period:

interest charged = $1,618.39 x 0.063% x 31 days = $31.61

3 0
3 years ago
The XYZ Corporation pays no cash dividends currently and is not expected to for the next five years. Its latest EPS was $18.00,
stellarik [79]

Answer:

current intrinsic value per stock = $26.35

Explanation:

year                      dividend              EPS

0                              0                       $18

1                               0                       $20.88

2                              0                       $24.22

3                              0                       $28.10

4                              0                       $32.59

5                              0                       $37.81

6                              $12.59              $41.97

growth rate up to year 5 = 16%

ROE growth rate starting year 6 = 11%

dividend growth rate starting year 6 = 11% x (1 - 30%) = 7.7%

cost of equity = 24%

horizon value at year 5 = $12.59 / (24% - 7.7%) = $77.24

current intrinsic value per stock = $77.24 / 1.24%⁵ = $26.35

4 0
3 years ago
Ed's Print Shop received an invoice dated May 10 for $2,500 with terms 3/10, 1/15, n/60. On May 22, Ed's Print Shop sent a parti
artcher [175]

Amount to be credited = $2,020

Outstanding balance = $480

Explanation:

The payment terms state that

  • 3% discount may be taken within 10 days of the invoice date (up to May 20); or  
  • 1% discount may be taken within 15 days of the invoice date (after May 20 but not later than May 25); or
  • The net amount is due within 60 days of the invoice date if advantage is not taken of the cash discounts offered.
  • The  3% cash discount is not applicable as the payment was made on May 22 which is after the end of the discount period. However, the 1% discount is allowed, since payment on May 22 is within the 15-day period for the 1% discount.

Amount to be credited

= 2000 / (1−0.01)

= 2000 / (0.99)

= $2,020

Outstanding balance

= 2500 - 2020

= $480

3 0
3 years ago
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