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xeze [42]
3 years ago
14

You have two options to repay a loan. You can repay $6,000 now and $5,940 in one year; or you can repay $12,000 in 6 months. Fin

d the annual effective interest rate(s) i at which both options have the same present value.
Business
1 answer:
Brums [2.3K]3 years ago
7 0

Answer:

We will consider positive interest rate which is i=0.21 or i=21%

Explanation:

The formula for Future value is:

FV=PV(1+i)^n

The present value will become:

PV=FV(1+i)^{-n}

where:

n is the number of years

Since the condition is same present value,so the given data form the equation:

6000+5940(1+i)^{-1}=12000(1+i)^{-1/2}

Divide above equation by (1+i)^{-1}

6000(1+i)+5940=12000(1+i)^{1/2}

Let z=(1+i)^{1/2}\\. Above equation will become:

6000z^2+5940=12000z

Rearranging above equation:

5940-12000z+6000z^2=0

Solving the quadratic equation:

z=1.1,    z=0.9

Let z=(1+i)^{1/2}\\ will become:

z=(1+i)^{1/2}\\\\z^2=1+i

i=z^2-1

For z=1.1

i=(1.1)^2-1\\i=0.21

For z=0.9

i=(0.9)^2-1\\i=-0.19

we will consider positive interest rate which is i=0.21 or i=21%

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Answer:

A.The impact on the balance sheet after the payment of the dividends is a reduction in current asset-cash by $8580 as well as a drop in equity-specifically retained earnings by the same amount.

B.Total assets (book and market values) will decrease by $8580 and equity and liabilities on the other hand will also reduce by $8580.

A.The accounting entries in respect of the dividend payment will be :

Debit Retained earnings $8580

Credit Cash                                       $8580

Explanation:

The dividends of $1.43 gives $8580 in total i.e $1.43*6000 shares

The impact of the dividend payment will be in terms of reduction in cash available for daily operations and reduction in funds attributable to shareholders.

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3 years ago
The consumer price index is __
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Answer:

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Explanation:

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3 years ago
Which type of contract is not assignable?
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Answer:

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1 year ago
Gabriel put $6000 in a 2-year CD paying 4% interest, compounded monthly. After 2 years, he withdrew all his money. What was the
NeTakaya
First, we calculate for the effective annual interest given the interest in the scenario. 
                          ieff = (1 + i/m)^m - 1
Substituting the values,
                          ieff = (1 + 0.04/12)^12 - 1 = 0.0407
The effective interest is equal to 4.07%. 

The future amount after 2 years,
                         F = ($6000) x (1.0407)^2 = $6498.86
5 0
3 years ago
Read 2 more answers
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