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antoniya [11.8K]
3 years ago
15

Time Value of Money: Basics Using the equations and tables in Appendix 25A this chapter, determine the answers to each of the fo

llowing independent situations. Round answers to the nearest whole number. (a) The future value in two years of $3,000 deposited today in a savings account with interest compounded annually at 6 percent.
Business
1 answer:
kow [346]3 years ago
6 0

Answer:

Present value (PV) = $3,000

Interest rate (r) = 6% = 0.06

Number of years (n) = 2 years

Future value (FV) = ?

FV = PV(1 + r)n

FV = $3,000(1 + 0.06)2

FV = $3,000(1.06)2

FV= $3,000 x 1.1236

FV = $3.370.80                                                                                                                                                                                                                                                                                    

Explanation:

In this case, there is need to compound the present value for 2 years at 6% interest per annum. The formula to be applied is the formula for future value of a lump sum (single investment).

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3 0
3 years ago
All That Blooms provides environmentally friendly lawn services for homeowners. Its operating costs are as follows. Compute brea
SpyIntel [72]

Answer:

Break-even point = 100 lawns and break-even sales point = $6,000

Explanation:

Total fixed costs = depreciation + advertising + insurance

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                            = $3,600/month

Total variable cost per unit = weed + direct labor + fuel

                                             = $12 + $10 + $2

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Contribution margin ratio:

= (sales per unit - variable cost per unit) ÷ sales per unit

= ($60 - $24) ÷ $60

= 60%

Break-even sales = fixed costs ÷ contribution margin ratio

                             = $3,600 ÷ 60%

                             = $6,000

Break-even sales units = Break-even sales ÷ sales per unit

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Break-even point = 100 lawns and break-even sales point = $6,000

6 0
3 years ago
Mrs. Crawford will receive $8,700 a year for the next 17 years from her trust. Use Appendix D for an approximate answer, but cal
deff fn [24]

Answer:

The current value of the future payments   = $58,543.11

Explanation:

<em>The current value of the future payment is the present value (PV) of the of the annuity receipts of $8,700 discounted at the rate of 13% per annum.</em>

<em>An annuity is a series of periodic cash flows payable or receivable for certain number of years.</em>

To determine the present value of the annuity, we use the formula below

<em>PV = A   × (1 - (1 + r) ^(-n) )/ r</em>

<em>r -13%, n- 17, A = 8,700</em>

PV = 8,700 × ( 1- (1+0.13)^( -17)/ 0.13)

PV =   8,700× 6.7290

PV =  58,543.11

The current value of the future payments   = $58,543.11

5 0
3 years ago
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