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sashaice [31]
3 years ago
10

What interest rate is implicit in a $1,000 par value zero-coupon bond that matures in 6 years if the current price is $470.

Mathematics
1 answer:
avanturin [10]3 years ago
4 0

Answer:

The formula for calculating the yield to maturity on a zero-coupon bond is:

Yield To Maturity=(Face Value/Current Bond Price)^(1/Years To Maturity)−1

For a $1,000 zero-coupon bond that has six years until maturity, the bond is currently valued at $470, the price at which it could be purchased today. The formula would look as follows: (1000/470)^(1/6)-1. When solved, this equation produces a value of 0.134097, which would be rounded and listed as a yield of 13.41%.

Step-by-step explanation:

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\left\{ \begin{array}{l}  y=2 \text{ (red line)} \\  x= 6  \text{ (blue line)}\\  y=3x+2 \text{ (green line)} \\  y= -x+10  \text{ (orange line)}. \end{array}\right.

2. Determine which bounded part of the plane you should select:

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  4. for y\le -x+10 you can check where the origin is placed. Since 0\le -1\cdot 0+10, the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.

3. According to the previous explanations, the shaded region is as in A diagram.

Answer: correct choice is A.


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Answer:

The answer is no

Step-by-step explanation:

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