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Keith_Richards [23]
3 years ago
10

Assume a zero-coupon bond that sells for $270 and will mature in 25 years at $1,850. Use Appendix B for an approximate answer bu

t calculate your final answer using the formula and financial calculator methods. What is the effective yield to maturity? (Assume annual compounding. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
Business
1 answer:
FromTheMoon [43]3 years ago
8 0

Answer:

8.00%

Explanation:

Data provided in the question:

Selling price of the bond i.e current value = $270

Future value = $1,850

Maturity time, t = 25 years

Now,

Effective yield to maturity, r = (\frac{\text{Future value}}{\text{Current value}})^{\frac{1}{t}}-1

on substituting the respective values, we get

Effective yield to maturity, r = (\frac{\$1,850}{\$270})^{\frac{1}{25}}-1

or

Effective yield to maturity, r = 1.0800 - 1

or

Effective yield to maturity = 0.0800

or

= 0.0800 × 100% = 8.00%

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1.782609

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By choosing to produce one  more motorcycle, the countries would be giving up the opportunity to produce one more unit of lawn mowers

Yekutia's opportunity cost in the production of motor cycle = 570 / 320 = 1.781250

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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
miskamm [114]

Answer:

  • 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}

Where:

  • P is the amount that you invest today: $1,300
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  • r is the annual interest rate: 0.074

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

Substitute the values and solve for t:

             2\times \$1,300=\$1,300\times e^{0.074t}\\ \\ 0.074t=\ln 2\\ \\ t=\ln 2/0.074=9.37years

<u>2. For the amount to triple:</u>

<u />

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

4 0
3 years ago
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