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Vadim26 [7]
3 years ago
12

The seller was told by the bank that she has a prepayment penalty due at the time of closing. the penalty is 6 months' interest

on the current loan balance. based on 6% interest, her monthly payment is $569.57 principal and interest and her loan balance was $95,000 the month before closing. once she makes her next monthly payment, how much will she owe in prepayment penalty at the time of closing?
Business
1 answer:
algol133 years ago
3 0
Using the formula for compound interest:

The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ

Where:

A = the future value = $95000
P = the principal investment amount = ?
r  = the annual interest rate = 0.06
n = the number of times that interest is compounded per year = 2
x = the number of years the money is invested = 0.5


95,000 = P (1 + 0.06/2)¹

95,000 = P (1.06/2)

95,000 = P (0.53)

P = 95,000 ÷ 0.53

P = 95,000 ÷ 0.53

P = 179,245.30

Total compounded interest = 179,245.30 - 95,000

Total compounded interest = 84,245
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Answer:

a. The break-even point for operating expenses before and after expansion

break even point before expansion = fixed costs + variable costs

fixed costs = $2,030,000

variable costs = $3,650,000

break even point = $2,030,000 + $3,650,000 = $5,680,000

break even point after expansion = = fixed costs + variable costs

fixed costs = $2,530,000

variable costs = $8,300,000 x 50% = $4,150,000

break even point = $2,530,000 + $4,150,000 = $6,680,000

b. The degree of operating leverage before and after expansion.

degree of operating leverage before expansion = (sales - variable costs) / (sales - variable costs - fixed costs)

sales = $7,300,000

variable costs = $3,650,000

fixed costs = $2,030,000

DOL = ($7,300,000 - $3,650,000) / ($7,300,000 - $5,680,000) = $3,650,000 / $1,620,000 = 2.25

degree of operating leverage after expansion = (sales - variable costs) / (sales - variable costs - fixed costs)

sales = $8,300,000

variable costs = $4,150,000

fixed costs = $2,530,000

DOL = ($8,300,000 - $4,150,000) / ($8,300,000 - $6,680,000) = $4,150,000 / $1,620,000 = 2.56

c-1. The degree of financial leverage before expansion.

DFL = EBIT / (EBIT - interest expense)

EBIT before expansion = $1,620,000

Interest expense = $660,000

DFL = $1,620,000 / ($1,620,000 - $660,000) = 1.69

c-2. The degree of financial leverage for all three methods after expansion. Assume sales of $8.3 million for this question.

EBIT after option A = $1,620,000

Interest expense after option A = $660,000 + ($4,300,000 x 13%) = $1,219,000

DFL (option A) = $1,620,000 / ($1,620,000 - $1,219,000) = 4.04

EBIT after option B = $1,620,000

Interest expense after option A = $660,000

DFL (option B) = $1,620,000 / ($1,620,000 - $660,000) = 1.69

EBIT after option C = $1,620,000

Interest expense after option A = $660,000 + ($2,150,000 x 12%) = $918,000

DFL (option C) = $1,620,000 / ($1,620,000 - $918,000) = 2.31

d. Compute EPS under all three methods of financing the expansion at $8.3 million in sales (first year) and $10.1 million in sales (last year).

first year:

EBIT after option A = $1,620,000

Interest expense after option A = $1,219,000

Pre tax income = $401,000

Income tax (40%) = $160,400

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EBIT after option B = $1,620,000

Interest expense after option A = $660,000

Pre tax income = $960,000

Income tax (40%) = $384,000

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EBIT after option C = $1,620,000

Interest expense after option A = $918,000

Pre tax income = $702,000

Income tax (40%) = $280,800

Net income = $421,200

EPS = $421,200 / 483,750 stocks = $0.87

last year:

EBIT after option A = $2,520,000

Interest expense after option A = $1,219,000

Pre tax income = $1,301,000

Income tax (40%) = $520,400

Net income = $780,600

EPS = $780,600 / 430,000 stocks = $1.82

EBIT after option B = $2,520,000

Interest expense after option A = $660,000

Pre tax income = $1,860,000

Income tax (40%) = $744,000

Net income = $1,116,000

EPS = $1,116,000 / 602,000 stocks = $1.85

EBIT after option C = $2,520,000

Interest expense after option A = $918,000

Pre tax income = $1,602,000

Income tax (40%) = $640,800

Net income = $961,200

EPS = $961,200 / 483,750 stocks = $1.99

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Sheridan Company purchased $1750000 of 10% bonds of Scott Company on January 1, 2021, paying $1650375. The bonds mature January
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Answer:

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Explanation:

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(market price x effective interest) - (face value x coupon rate) =  

($1,650,375 x .055) - ($1,750,000 x .05) = $3,270.63 ≈ $3,271

since the bonds pay a semiannual coupon, the yearly interest rates must be divided by 2.

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