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Rainbow [258]
3 years ago
10

8. You need a particular piece of equipment for your production process. An equipment-leasing company has offered to lease the e

quipment to you for $10,100 per year if you sign a guaranteed 5-year lease (the lease is paid at the end of each year). The company would also maintain the equipment for you as part of the lease. Alternatively, you could buy and maintain the equipment yourself. The cash flows from doing so are listed below. If your discount rate is 6.9%, what should you do
Business
1 answer:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer:

Find attached question containing the cash flows under the purchasing option,note that the discount rate in the attached is 7.1% but the main question has 6.9%,hence  I would make use of 6.9%

The present value of leasing option is lower,hence it is preferred.

Explanation:

The cash flows under the purchasing option is $39,200 now and $2000 each year for 5 years.

In determining the better of the two options we determine the present value of each option as follows:

leasing option=$10,100/(1+6.9%)^1+$10,100/(1+6.9%)^2+$10,100/(1+6.9%)^3+$10,100/(1+6.9%)^4+$10,100/(1+6.9%)^5=$ 41,523.11  

Purchase option=$39,200+$2000/(1+6.9%)^1+$2000/(1+6.9%)^2+$2000/(1+6.9%)^3+$2000/(1+6.9%)^4+$2000/(1+6.9%)^5=$ 47,422.40  

Download xlsx
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Different compounding periods, are used for different types of investments. In order to properly compare investments or loans wi
gayaneshka [121]

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Nominal

EAR

annual

higher than

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If the securities have different compounding periods, then the <u>EAR</u> must be used for comparison.

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5 0
3 years ago
What is the duration of a two-year bond that pays an annual coupon of 10 percent and whose current yield to maturity is 11 perce
mojhsa [17]

Answer:

(a) 1.91 years

(b). $987.96

Explanation:

According to the scenario, computation of the given data are as follow:-

a).

Year   Cash flow   PVF 11%   PVF 11% discount   time   P.V. cashflow×time

1        $100         0.901        $90.1           1             $90.1

2        $1,100 0.812        $893.2             2             $1,786.4

Total                           983.3                             $1,879.5

Bond price = $983.3

Bond duration = 1,879.5 ÷ 983.3 = 1.91 year

b).

1st year cash flow = $1,000 × 10÷100 = $100

2nd year cash flow = $1000 + $100 = $1,100

If interest rate are decreased by 0.3%

11% - 0.3% = 10.7%

PVF = cash flow ÷ (1+rate)

Year  Cash flow($) divide PVF 10.7%  PVF 11% discount ($)

1                  100     ÷         1.107(1+.107)               90.33

2                  1,100   ÷         1.225449(1+.107)^2       897.630

Total                                                           987.96

Price of bond will be $987.96 at 10.7%.

7 0
3 years ago
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