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-Dominant- [34]
3 years ago
9

Mary Graham worked as a real estate agent for Piedmont Properties for 15 years. Her annual income is approximately $100,000 per

year. Mary is considering estab- lishing her own real estate agency. She expects to generate revenues during the first year of $2 million. Salaries paid to her employees are expected to total $1.5 million. Operating expenses (i.e., rent, supplies, utility services) are expected to total $250,000. To begin the business, Mary must borrow $500,000 from her bank at an interest rate of 15 percent. Equipment will cost Mary $50,000. At the end of one year, the value of this equipment will be $30,000, even though the depreciation expense for tax purposes is only $5,000 during the first year.
a) Determine the (pre-tax) accounting profit for this venture.
b) Determine the (pre-tax) economic profit for this venture.
c) Which of the costs for this firm are explicit and which are implicit?
Business
1 answer:
brilliants [131]3 years ago
4 0

Answer and Explanation:

The computation is shown below:

a. The pre tax accounting profit is

= Revenue - operating expenses - salaries - depreciation - interest on loan

= $2,000,000 - $250,000 - $1,500,000 - $5,000 - ($500,000 × 15%)

= $2,000,000 - $250,000 - $1,500,000 - $5,000 - $75,000

= $170,000

b. The  pre tax economic profit is

= Revenue - operating expenses - salaries - foregone income - actual depreciation - interest on loan

= $2,000,000 - $250,000 - $1,500,000 - $100,000 - $20,000 - $75,000

= $55,000

The actual depreciation is

= $50,000 - $30,000

= $20,000

c. The explicit cost is the cost which includes wages & salaries, operating expense, depreciation expenses etc while the implicit cost includes the opportunity cost and annual depreciation cost

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Answer:

Missing word <em>"a. What must the six-month risk-free rate be in Japan"</em>

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a. Spot rate = 1 US $ = 1.2377 Aus.dollar

Forward rate = 1 US $ = 1.2356 Aus.dollar

<u>1.2356</u> = <u>(1 + i Ad)</u>

1.2377     (1 + 0.05)

0.9983 * (1.05) = 1 + i.Ad

1.048215 = 1 + i.Ad

i.Ad = 1.048215 - 1

i.Ad = 0.048215

i.Ad = 4.82%

b. Spot rate = 1 US $ = 100.3300 Japan Yen

Forward rate = 1 US $ = 100.0500 Japan Yen

<u>100.0500</u> = <u>(1 + i Ad)</u>

100.3300     (1 + 0.05)

0.9972 * (1.05) = 1 + i.Ad

1.04706 = 1 + i.Ad

i.Ad = 1.04706 - 1

i.Ad = 0.04706

i.Ad = 4.71%

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Bond J has a coupon of 7.6 percent. Bond K has a coupon of 11.6 percent. Both bonds have 12 years to maturity and have a YTM of
elena55 [62]

Answer:

Bond J has a coupon of 7.6%  

Bond K has a coupon of 11.6%

12 years to maturity and YTM of 8.2%

first we must determine the current market price of both bonds using the yield to maturity formula:

YTM = {C + [(FV - PV) / n]} /  [(FV + PV) / 2]

  • YTM = 8.2%
  • C = coupon payment = $76 and $116
  • FV = face value or value at maturity = $1,000
  • PV = present value or current market value = ???
  • n = 12 years

current market value of Bond J:

0.082 = {76 + [(1,000 - PV) / 12]} /  [(1,000 + PV) / 2]

[(1,000 + PV) / 2]  x 0.082 = 76 + [(1,000 - PV) / 12]

41 + 0.041PV = 76 + 83.33 - 0.083PV

0.124PV = 118.33

PV = 118.33 / 0.124 = $954.27

current market value of Bond K:

41 + 0.041PV = 116 + 83.33 - 0.083PV

0.124PV = 158.33

PV = 158.33 / 0.124 = $1,276.85

a. If interest rates suddenly rise by 2.2 percent, what is the percentage price change of these bonds?

YTM = {C + [(FV - PV) / n]} /  [(FV + PV) / 2]

  • YTM = 8.2% + 2.2% = 10.4%
  • C = coupon payment = $76 and $116
  • FV = face value or value at maturity = $1,000
  • PV = present value or current market value = ???
  • n = 12 years

market value of Bond J:

0.102 = {76 + [(1,000 - PV) / 12]} /  [(1,000 + PV) / 2]

[(1,000 + PV) / 2]  x 0.102 = 76 + [(1,000 - PV) / 12]

102 + 0.051PV = 76 + 83.33 - 0.083PV

0.134PV = 157.33

PV = 57.33 / 0.134 = $427.84

market value of Bond K:

102 + 0.051PV = 116 + 83.33 - 0.083PV

0.134PV = 97.33

PV = 97.33 / 0.134 = $726.34

Bond J's market price will decrease by ($427.84 - $954.27) / $954.27 = -55.17%

Bond K's market price will decrease by ($726.34 - $1,276.85) / $1,276.85 = -43.11%

b. If interest rates suddenly fall by 2.2 percent, what is the percentage price change of these bonds?

YTM = {C + [(FV - PV) / n]} /  [(FV + PV) / 2]

  • YTM = 6%
  • C = coupon payment = $76 and $116
  • FV = face value or value at maturity = $1,000
  • PV = present value or current market value = ???
  • n = 12 years

current market value of Bond J:

0.06 = {76 + [(1,000 - PV) / 12]} /  [(1,000 + PV) / 2]

[(1,000 + PV) / 2]  x 0.06 = 76 + [(1,000 - PV) / 12]

30 + 0.030PV = 76 + 83.33 - 0.083PV

0.113PV = 129.33

PV = 129.33 / 0.113 = $1,144.51

current market value of Bond K:

30 + 0.030PV = 116 + 83.33 - 0.083PV

0.113PV = 169.33

PV = 169.33 / 0.113 = $1,498.50

Bond J's market price will increase by ($1,144.51 - $954.27) / $954.27 = 19.94%

Bond K's market price will increase by ($1,498.50 - $1,276.85) / $1,276.85 = 17.36%

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