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Suppose you purchase 650 shares of stock at $50 per share with an initial cash i

ID: 2382961 • Letter: S

Question

Suppose you purchase 650 shares of stock at $50 per share with an initial cash investment of $10,000. The call money rate is 5 percent and you are charged a 1.5 percent premium over this rate.

Calculate your return on investment one year later if the share price is $58. Suppose instead you had simply purchased $10,000 of stock with no margin. What would your rate of return have been now? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)

Calculate your return on investment one year later if the share price is $50. Suppose instead you had simply purchased $10,000 of stock with no margin. What would your rate of return have been now? (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)

Calculate your return on investment one year later if the share price is $34. Suppose instead you had simply purchased $10,000 of stock with no margin. What would your rate of return have been now? (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)

a.

Calculate your return on investment one year later if the share price is $58. Suppose instead you had simply purchased $10,000 of stock with no margin. What would your rate of return have been now? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)

Explanation / Answer

uppose you purchase 650 shares of stock at $50 per share with an initial cash investment of $10,000. The call money rate is 5 percent and you are charged a 1.5 percent premium over this rate.

a.Calculate your return on investment one year later if the share price is $58. Suppose instead you had simply purchased $10,000 of stock with no margin. What would your rate of return have been now? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)

Working

Inirtial Investment = 10000

Borrowed Margin = 650*50 - 10000 = $ 22500

Interest Cost = 22500*(5%+1.5%) = $ 1462.50

Net Income = (650 * (58-50))- 1462.50

Net Income = $ 3737.50

Rate of return =Net Income/Inirtial Investment

Rate of return = 3737.50/10000

Rate of return = 37.38%

Suppose instead you had simply purchased $10,000 of stock with no margin

Inirtial Investment = 10000

No of Share Purchased =10000/50 = 200

Net Income = (200 * (58-50))

Net Income = $ 1600

Without margin, rate of return=Net Income/Inirtial Investment

Without margin, rate of return = 1600/10000

Without margin, rate of return= 16%

Answer

  Rate of return 37.38%
  Without margin, rate of return 16%

b.Calculate your return on investment one year later if the share price is $50. Suppose instead you had simply purchased $10,000 of stock with no margin. What would your rate of return have been now? (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)

Working

Inirtial Investment = 10000

Borrowed Margin = 650*50 - 10000 = $ 22500

Interest Cost = 22500*(5%+1.5%) = $ 1462.50

Net Income = (650 * (50-50))- 1462.50

Net Income = - $ 1462.50

Rate of return =Net Income/Inirtial Investment

Rate of return = -1462.50/10000

Rate of return = -14.63%

Suppose instead you had simply purchased $10,000 of stock with no margin

Inirtial Investment = 10000

No of Share Purchased =10000/50 = 200

Net Income = (200 * (50-50))

Net Income = $ 0

Without margin, rate of return=Net Income/Inirtial Investment

Without margin, rate of return = 0/10000

Without margin, rate of return= 0%

Answer

  Rate of return -14.63%
  Without margin, rate of return 0%

c.Calculate your return on investment one year later if the share price is $34. Suppose instead you had simply purchased $10,000 of stock with no margin. What would your rate of return have been now? (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)

Working

Inirtial Investment = 10000

Borrowed Margin = 650*50 - 10000 = $ 22500

Interest Cost = 22500*(5%+1.5%) = $ 1462.50

Net Income = (650 * (34-50))- 1462.50

Net Income = - $ 11862.50

Rate of return =Net Income/Inirtial Investment

Rate of return = -11862.50/10000

Rate of return = - 118.63%

Suppose instead you had simply purchased $10,000 of stock with no margin

Inirtial Investment = 10000

No of Share Purchased =10000/50 = 200

Net Income = (200 * (34-50))

Net Income = - $ 3200

Without margin, rate of return=Net Income/Inirtial Investment

Without margin, rate of return = -3200/10000

Without margin, rate of return= -32%

Answer

  Rate of return -118.63%
  Without margin, rate of return -32%

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