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Lunna [17]
3 years ago
7

A friend wants to borrow money from you. He states that he will pay you $2,700 every 6 months for 9 years with the first payment

exactly 5 years and six months from today. The interest rate is an APR of 7.3 percent with semiannual compounding. What is the value of the payments today?
Business
1 answer:
Travka [436]3 years ago
5 0

Answer:

The value of the payment today = $36,539.65

Explanation:

<em>An annuity is a series of equal payment or receipt occurring for certain number of period. </em>

<em>The payment in question is an example of an annuity .Hence the value of the payment today would be the present value of 2,700 annuity discounted at the appropriate interest rate </em>.

This is done as follows:

The Present Value of annuity = A ×  (1- (1+r)^(-n))/r

A- periodic cash flow-2,700, r- semi annual rate of interest - 7.3/2= 3.65%

n- number of period- (9×2) + 1= 19. Note that we have 19 "six months" in 9 years 6 months

PV = 2,700 × (1- (1+0.0365)^(-19))/0.0365 =36,539.650

The value of the payment today = $36,539.65

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Answer:

Total sales tax payable:170, sales :2000

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2000 x .085 (6%+2.5%) = 170

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Ace Hauling, Inc., has been transporting industrial tailings for companies around the Minneapolis/St. Paul area for the past dec
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Jacob has taken an suv on lease from free cruisers inc. for a period of four years. jacob does not need to pay any extra amount,
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3 years ago
inventory Turnover and Days' Sales in Inventory The following financial statement data for years ending December 31 for Holland
Varvara68 [4.7K]

Answer:

                                            Year 2014           Year 2013

a) Inventory Turnover ratio 3.4 times  and   3.1 times

b) Number of days' sales in inventory 107.3 days and  117.7 days

Explanation:

As per the data given in the question,

As we know that

Inventory turnover ratio = Cost of goods sold ÷ Average inventory

where,

Average inventory

= (Beginning inventory + ending inventory) ÷ 2

For Year 20Y4 :

Average inventory = ($359,160 + $516,840 ) ÷2

= $438,000

And, the cost of goods sold is $1,489,200

So,

Inventory Turnover ratio

= $1,489,200 ÷ $438,000

= 3.4 times

For Year 20Y3 :

Average inventory = ($251,120 + $359,160) ÷ 2

= $305,140

And, the cost of goods sold is $945,934

So,

Inventory Turnover ratio

= $945,934 ÷ $305,140

= 3.1 times

Now

Number of days' sales in inventory = Number of days in a year ÷ Inventory Turnover ratio

For 20Y4

= 365 days ÷ 3.4

= 107.3 days

For 20Y3

= 365 days ÷ 3.1

= 117.7 days

Basically we applied the above formulas

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