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antoniya [11.8K]
3 years ago
8

Susan Orman wants to pay $1,550 semiannually to her granddaughter for 10 years for helping her around the house. If Susan can in

vest money at 4% compounded semiannually, how much must she invest today to meet this goal
Business
1 answer:
crimeas [40]3 years ago
6 0

Answer:

She needs to deposit $25,344.72

Explanation:

Giving the following information:

Semiannual payment= $1,550

Number of periods= 20 semesters

Interest rate= 0.04/2= 0.02

<u>First, we need to calculate the future value of the payments:</u>

FV= {A*[(1+i)^n-1]}/i

A= Semiannual payment

FV= {1,550*[(1.02^20) - 1]} / 0.02

FV= $37,660.92

<u>Now, the present value (initial investment):</u>

PV= FV/(1+i)^n

PV= 37,660.92/1.02^20

PV= $25,344.72

She needs to deposit $25,344.72

<u>Prove:</u>

Annual payment= (PV*i) / [1 - (1+i)^(-n)]

Annual payment= (25,344.72*0.02) / [1 - (1.02^-20)]

Annual payment= $1,550

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Some people will obtain a bachelor’s degree with a focus in fashion design. Then to increase their skill set, they may also obta
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Masters

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Read 2 more answers
At the beginning of the month, the Painting Department of Skye Manufacturing had 30,000 units in inventory, 70% complete as to m
VikaD [51]

Answer:

Cost per equivalent unit of material =  $2.20 per unit

Cost per equivalent unit of conversion =  $4 unit

Explanation:

The computation of Cost per equivalent unit of material, Cost per equivalent unit of conversion is shown below:-

For computing the cost per equivalent first we need to find the equivalent unit of material which is below:-

= Transferred units + ( Department units × Material percentage)

= 135,000 + (20,000 × 40%)

= 135,000 + 8,000

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So, the Cost per equivalent unit of material = (Beginning material cost + Current month material cost) ÷ Equivalent unit of material

= ($32,400 + $282,240) ÷ 143,000

= $314,640  ÷ 143,000

= $2.20 per unit

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= Transferred units + ( Department units × Conversion percentage)

= 135,000 + (20,000 × 15%)

= 135,000 + 3,000

= 138,000

So, the Cost per equivalent unit of conversion = (Beginning conversion cost + Current month conversion cost) ÷ Equivalent unit of conversion cost

= ($6,250 + $544,700) ÷ 138,000

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or $4 unit

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Answer:

As described below.

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  • The free markets to regulate themselves by means of competition, among the workers and the borrowers.
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