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Naily [24]
3 years ago
14

A service contract for a video projection system costs $70 a year. You expect to use the system for five years. Instead of buyin

g the service contract, what would be the future value of these annual amounts after five years if you earn 3 percent on your savings?A service contract for a video projection system costs $70 a year. You expect to use the system for five years. Instead of buying the service contract, what would be the future value of these annual amounts after five years if you earn 3 percent on your savings?
Business
1 answer:
dolphi86 [110]3 years ago
3 0

Answer:

future value of the video projection payment: 371.64 dollars

Explanation:

The future value of these payment will be calculate as ordinary annuity:

C \times \frac{(1+r)^{time} -1}{rate} = FV\\

C $ 70

time      5 years

rate 3% = 3/100 = 0.03

70 \times \frac{(1+0.03)^{5} -1}{0.03} = FV\\

FV $371.6395 = $ 371.64

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Mary O. Andrettey wants to purchase an expensive sports car. She needs to borrow money to purchase the car, and has loan proposa
irina [24]

Answer: Proposal C

Explanation:

The way to solve this is to calculate the Present Values of all these payments. The smallest present value is the best.

Proposal A.

Periodic payment of $2,000 makes this an annuity.

Present value of Annuity = Annuity * ( 1 - ( 1 + r ) ^ -n)/r

= 2,000 * (1 - (1 + 0.5%)⁻⁶⁰) / 0.5%

= $103,451.12

Proposal B

Present value = Down payment + present value of annuity

= 10,000 + [2,200 * ( 1 - ( 1 + 0.5%)⁻⁴⁸) / 0.5%]

= 10,000 + 93,676.70

= $103,676.70

Proposal C

Present value = Present value of annuity + Present value of future payment

= [500 * (1 - (1 + 0.5%)⁻³⁶) / 0.5%] + [116,000 / (1 + 0.5%)⁶⁰]

= 16,435.51 + 85,999.17

= $‭102,434.68‬

<em>Proposal C has the lowest present value and so is best. </em>

6 0
3 years ago
Suppose Stark Ltd. just issued a dividend of $1.59 per share on its common stock. The company paid dividends of $1.25, $1.33, $1
Harlamova29_29 [7]

Answer:

The answer is below

Explanation:

a) The dividend growth rate is given as D2/D1 - 1

Year            Dividend                        Growth rate

1                    $1.25                            

2                   $1.33                       ($1.33/ $1.25 - 1) 6.4%

3                   $1.4                          ($1.4/$1.33 - 1) 5.26%

4                   $1.51                         ($1.51/$1.4 -1)  7.86%  

       

The arithmetic average growth rate is the average of all the growth rates.

Arithmetic average growth rate = (6.4% + 5.26% + 7.86%) / 3 = 6.51%

The cost of annuity = (cost of common stock / Selling stock price) * 100% + Average growth rate

The cost of annuity = ($1.59 / $40) * 100% + 6.51% = 10.49%

b) The geometric growth rate is given as:

geometric average growth rate =

(\frac{D_n}{D_o} )^{\frac{1}{n} }-1\\D_n=1.51,D_o=1.25,n=3\\\\Geometric\ growth\ rate=\frac{1.51}{1.25}^{1/3}-1=6.5\%

The cost of annuity = ($1.59 / $40) * 100% + 6.5% = 10.48%

7 0
3 years ago
A circuit board manufacturer estimates the yearly demand to be 1,000,000. It costs $400 to set up the 3D printer for the circuit
EleoNora [17]

Answer:

The manufacturer have to produce 20,000 circuit boards per run with 50 production runs

Explanation:

Let x = number of circuit boards to be produced

An average of x/2 circuit boards are stored throughout the year at a cost of $2 each;

so annual storage cost = x/2*2 = x

Note: it costs $10 each to produce x circuit boards and $400 to set up

Therefore, The cost per run = 10x + 400

The 1,000,000 circuit boards at x circuit board per run would require 1000000/x runs.

Therefore, production costs = cost per run * production run

production costs = (10x + 400)*(1000000/x) = 10,000,000 + 400,000,000/x

Total cost C = storage cost + production cost

C = x + 10,000,000 + 400,000,000/x

Set c to zero and differentiate c with respect to x

0=1+0-400,000,000/x²

Therefore x = 20,000

Number of circuit boards that should be produced to minimize cost is 20,000

While the production runs needed = 1,000,000/x = 1,000,000/20,000= 50

The manufacturer have to produce 20,000 circuit boards per run with 50 production runs

4 0
3 years ago
Read 2 more answers
Houston repeatedly promised his daughter, Allyson, that he would pay one-half of the costs for Allyson to attend a private, hist
notsponge [240]
It is 1 3/4 because I know it
8 0
4 years ago
Rising inventories usually indicate an: a. economy that grows unexpectedly. b. economy that slows unexpectedly. c. unexpected sp
Amiraneli [1.4K]

Answer:

Option (b) is correct.

Explanation:

When the economy of a particular nation slows down, then as a result this will decreases the sales of the firms. Due to the economy slow down, the income of the consumers falls and as a result they won't be able to buy as much quantity of the goods as they want. Hence, the firms are left with large amount of output or we can say that inventories, as firms are not be able to sell all of their output to the potential buyers.

6 0
3 years ago
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