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Vanyuwa [196]
2 years ago
11

Michael Jordan purchases (long) 10 shares of XYZ stock for 23.00 per share. Six months from now he will sell all 10 shares. The

continuously compounded risk free rate is 5%.
A. What is the breakeven stock price at the end of six months?
B. What is his profit if the stock price at the end of six months is 23.80 per share?
Business
1 answer:
melamori03 [73]2 years ago
3 0

Answer:

a) Breakeven price = Purchase price + Interest amount that would have been earned on the invested amount

Breakeven price = 23 + [23*e^(0.05*1/2) - 23]

Breakeven price = 23 + 0.5822477721

Breakeven price = $23.5822477721

b) Profit = Selling price - Breakeven price

Profit = $23.80 - $23.5822477721

Profit = $0.2177522279 per share

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you invest $1300 in an account at interest rate r, compounded continuously. Find the time required for the amount to double and
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  • 1. <em>For the amount to double</em>: <u>9.37 years</u>
  • 2. <em>For the amount to triple</em>: <u>14.85 years</u>

Explanation:

The equation for continuosly compounded interest is:

  • F=P\times e^{rt}

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<u>1. For the amount to double:</u>

Substitute the values and solve for t:

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<u />

            3\times \$1,300=\$1,300\times e^{0.074t}\\ \\ 0.074t=\ln 3\\ \\ t=\ln 3/0.074=14.85years

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