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notsponge [240]
3 years ago
13

You need to have $32,250 in 9 years. You can earn an annual interest rate of 4 percent for the first 5 years, and 4.6 percent fo

r the next 4 years. How much do you have to deposit today? A. 23341.12 B. 20769.78 C. 22142.99 D. 24936.86
Business
1 answer:
baherus [9]3 years ago
5 0

Answer:

The deposit today is:

C. 22142.99

Explanation:

a) Data and Calculations:

Future expected value = $32,250

Time period = 9 months

Annual interest rate = 4% for the first 5 years

Annual interest rate = 4.6% for the next 4 years

Today's deposit to earn the above future value is calculated from an online financial calculator as follows:

N (# of periods)  5

I/Y (Interest per year)  4

PMT (Periodic Payment)  0

FV (Future Value)  26940.33

Results

PV = $22,142.99

Total Interest $4,797.34

N (# of periods)  4

I/Y (Interest per year)  4.6

PMT (Periodic Payment)  0

FV (Future Value)  32250

PV = $26,940.33

Total Interest $5,309.67

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3 years ago
Present value with periodic rates. Sam​ Hinds, a local​ dentist, is going to remodel the dental reception area and add two new w
rusak2 [61]

Answer:

What will Sam have to pay for this equipment if the loan calls for semiannual payments ​(2 per​ year)

  • $2,820.62

and monthly payments ​(12 per​ year)?

  • $531.13

Compare the annual cash outflows of the two payments.

  • total semiannual payments per year = $2,820.62 x 2 = $5,641.24
  • total monthly payments per year = $531.13 x 12 = $6,373.56

Why does the monthly payment plan have less total cash outflow each​ year?

  • The monthly payment has a higher total cash outflow ($6,373.56 higher than $5,641.24), it is not lower. Since the compounding period is shorter, more interest is charged.

What will Sam have to pay for this equipment if the loan calls for semiannual payments ​(2 per​ year)?

  • $2,820.62 x 12 payments = $33,847.44 ($25,000 principal and $8,847.44 interests)

Explanation:

cabinet cost $25,000

interest rate 10%

we can use the present value of an annuity formula to determine the monthly payment:

present value = $25,000

PV annuity factor (5%, 12 periods) = 8.86325

payment = PV / annuity factor = $25,000 / 8.8633 = $2,820.62

present value = $25,000

PV annuity factor (0.8333%, 60 periods) = 47.06973

payment = PV / annuity factor = $25,000 / 47.06973 = $531.13

5 0
3 years ago
On August 1, 20Y7, Rafael Masey established Planet Realty, which completed the following transactions during the month:
Sphinxa [80]

Answer:

a. Dr Cash 17,500

Cr Common Stock 17,500

b. Dr Supplies 2,300

Cr Account payable 2,300

c. Dr Cash 13,300

Cr Sales commission 13,300

d. Dr Rent expense 3,000

Cr Cash 3,000

e. Dr Account payable 1,150

Cr Cash 1,150

f. Dr Dividend 1,800

Cr Cash 1, 800

g. Dr Automobile expense 1,500

Dr Miscellaneous expense 400

Cr Cash 1,900

h. Dr Salaries expense 2,800

Cr Cash 2,800

i. Dr Supplies expense 1,050

Cr Supplies 1,050

Explanation:

Preparation of Journal entry

a. Dr Cash 17,500

Cr Common Stock 17,500

b. Dr Supplies 2,300

Cr Account payable 2,300

c. Dr Cash 13,300

Cr Sales commission 13,300

d. Dr Rent expense 3,000

Cr Cash 3,000

e. Dr Account payable 1,150

Cr Cash 1,150

f. Dr Dividend 1,800

Cr Cash 1, 800

g. Dr Automobile expense 1,500

Dr Miscellaneous expense 400

Cr Cash 1,900

(1,500+400)

h. Dr Salaries expense 2,800

Cr Cash 2,800

i. Dr Supplies expense 1,050

Cr Supplies 1,050

8 0
3 years ago
Adam Holmes is the Processing Manager of Empire Mortgage Company, a firm that processes loan applications for a number of region
Elina [12.6K]

Answer:

a. <u>Labor variances for 14 PT staff: </u>

Labor rate variance = (Standard Rate – Actual Rate) x (Actual time per app) * (number of apps. completed)

= ($50 - $52) x 1.40 x 2,604

= $7291.20 (Unfavorable)

Labor Efficiency variance = [(Standard hours per app. X number of app.) - (Actual time per App. * number of apps.)] * Std. rate

= [(1.20 * 2,604) - (1.40 * 2,604)] * $50

= [3,124.80 - 3,645.60] * $50

= $26,040 (Unfavorable)

Labor Cost variance = Labor rate variance + Labor efficiency variance

= $7,291.20 (Unfavorable) + $ 26,040 (Unfavorable)

= $33,331.20 (Unfavorable)

<u>Labor variances for 10 SD staff</u>:

Labor rate variance = (Standard Rate – Actual Rate) x (Actual time per app) * (number of apps. completed)

= ($45 - $47) * 1.20 * 1,600

= $3840 (Unfavorable)

Labor Efficiency variance = [(Standard hours per app. X number of app.) - (Actual time per App. * number of apps.)] * Std. rate

= (1.40*1,600) – (1.20*1,600)]*$45

= [2,240 – 1,920] * $45

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Labor Cost variance = Labor rate variance + Labor efficiency variance

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4 years ago
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IceJOKER [234]

Answer:

Project portfolio management

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This is useful to analyze the risk and return in each project

Moreover, it is a process of choosing, supporting and managing the collection of firm projects in a systematic way

Hence, the third option is correct

4 0
4 years ago
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