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Alexeev081 [22]
2 years ago
5

Theo wants to have $40,000 for a down payment on a house five years from now. He can either deposit one lump sum today or he can

wait one year and deposit a lump sum. Assume an annual interest rate of 3.5 percent. How much additional money must he deposit if he waits for one year rather than making the deposit today?
Business
1 answer:
juin [17]2 years ago
4 0

Answer:

$1932.37

Explanation:

To find out how much additional money he must deposit if he waits for 1 year rather than making a deposit today we need to find the difference:

Difference = Value after 1 year - Present value

We first convert the interest rate percentage by dividing interest rate value by 100

Present Value = $40 000 / (1 + 0.035)5 = $7729.47

Value after 1 year = $40 000 / (1 + 0.035)4 = $9661.81

Difference = $9661.81 - $7729.47 = $1932.37

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At December 31, 2017, Indigo Girls Company has outstanding noncancelable purchase commitments for 36,000 gallons, at $3.00 per g
Whitepunk [10]

Answer:

The journal entries are as follows:

(i) On December 31, 2017

Unrealized gain or loss income A/c             Dr. $10,800

To estimated purchase commitment liability                    $10,800

(To record other income and expenses)

Workings:

Unrealized gain or loss income = 36,000 × ($3 - $2.7)

                                                    = 36,000 × $0.3

                                                     = $10,800

(ii) On January 1, 2018

Raw material A/c (36,000 × $2.7)                     Dr. $97,200

Estimated purchase commitment liability A/c  Dr. $10,800

To accounts payable                                                                $108,000

(To record the materials received in January 2018)

3 0
2 years ago
You want to be a millionaire when you retire in 30 years and expect to earn 8.5 percent, compounded monthly. How much more will
Alina [70]

Answer:

more will you have to save each month 981.9

Explanation:

given data

time = 30 year = 30 × 12 = 360 months

expected earn = 8.5 % = \frac{0.085}{12} = 0.0070833

time = 10 year = 10 × 12 = 120 months

future value = millionaire = 10^{6}  

solution

we consider here saving end of this month = x

and saving end of 10 year = y

now we solve for x

10^{6} =  x × \frac{1+ r^{t}}{r} - 1    

10^{6} =  x ×  \frac{1+ 0.0070833^{360}}{0.0070833} - 1    

x = 605.8

and

10^{6} =  y × \frac{1+ r^{t}}{r} - 1

10^{6} =  y ×  \frac{1+ 0.0070833^{120}}{0.0070833} - 1

y = 1594.9

so here we require more amount to save is y - x in end of each month = 1594.9  -  605.8  = 981.9

6 0
2 years ago
Read 2 more answers
Muir Manufacturing produces two popular grades of commercial carpeting among its many other products. In the coming production p
Rufina [12.5K]

Answer:

With 16 Grade X and 54 Grade Y the company maximize their profit at 11,840 dollars

Explanation:

We set up the scenario in Excel and use SOLVER tool:

X = 50 synthetic + 25 labor + 20 foam

Y = 40 synthetic + 28 labor + 15 foam

Profit:

X = 200

Y = 160

Constraing:

synthetics <= 3,000

foam <= 1,500

Grade X and Grade Y are integer.

goal: maximize profit

16 of Grade X

and 54 of grade Y

16 x 50 = 800

16 x 30  = 540

54 x 40  = 2,160

54 x 15  =    810

Profit:

16 x 200 + 54 x 160 = 11840

4 0
2 years ago
Tomkin Library System issues $5 million in bonds on January 1, 2021 that pay interest semi-annually on June 30 and December 31.
Alona [7]

Answer:

10%

Explanation:

Cash paid as semiannual coupon payment is $250,000

semiannual annual interest rate=semiannual coupon payment/face value of the bond.

The face value of the bond is $5,000,000

stated semiannual rate of interest=$250,000/$5,000,000=5%

Stated annual rate of interest =semiannual rate of interest *2

stated annual rate of interest=5%*2=10%

The coupon rate quoted on Tomkin Library Systems is 10% per year

yield to maturity =$220,000/$5,500,000*2=8%

Since the coupon rate is higher than the yield ,the bond was issued at a premium of $500,000 above its face value of $5 million

4 0
2 years ago
Montana Mining Co. (MMC) paid $200 million for the right to explore and extract rare metals from land owned by the state of Mont
N76 [4]

Answer:

$14.7million

Explanation:

Amount paid by MMC: $200M

Cost incurred by MMC :$60M

Risk free interest rate : 7%

Let's first find the expected cash out flow.

We have:

($10,000,000*0.6)+($30,000,000*0.4)

= $18,000,000

At a credit-adjusted discount rate of 7% and expected cashflow after 3 years is $18million. At the beginning of the extraction, the total amount capitalized by MMC will be:

18,000,000*(7%, 3years)

18,000,000*0.81630

= $14,693,400

=> $14.7 million

3 0
2 years ago
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