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Lubov Fominskaja [6]
1 year ago
6

What is the current value of a zero-coupon bond that pays a face value of $1,000 at maturity in 7 years if the appropriate disco

unt rate is 11%.?
Business
1 answer:
zvonat [6]1 year ago
5 0

The current value of a zero-coupon bond is $481.658412.

<h3>What is a zero-coupon bond?</h3>
  • A zero coupon bond (also known as a discount bond or deep discount bond) is one in which the face value is repaid at maturity.
  • That definition assumes that money has a positive time value.
  • It does not make periodic interest payments or has so-called coupons, hence the term zero coupon bond.
  • When the bond matures, the investor receives the par (or face) value.
  • Zero-coupon bonds include US Treasury bills, US savings bonds, long-term zero-coupon bonds, and any type of coupon bond that has had its coupons removed.
  • The terms zero coupon and deep discount bonds are used interchangeably.

To find the current value of a zero-coupon bond:

First, divide 11 percent by 100 to get 0.11.

  • 11%/100 = 0.11

Second, add 1 to 0.11 to get 1.11.

  • 1 + 0.11 = 1.11

Third, raise 1.11 to the seventh power to get 2.07616015.

  • 1.11⁷ = 2.07616015

Divide the face value of $1,000 by 1.2653 to find that the price to pay for the zero-coupon bond is $481.658412.

  • $1,000/1.2653 = $481.658412

Therefore, the current value of a zero-coupon bond is $481.658412.

Know more about zero-coupon bonds here:

brainly.com/question/19052418

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8 0
1 year ago
Let's think about billions by looking at Bill Gates, president of Microsoft. One year, his personal wealth grew by $20 billion.
marta [7]

Answer:

No, he should <u>not</u> pick up the $100 bill

Explanation:

If his salary were those $20 billion (20,000,000,000) by a year. Let's find out how much this is by a second.

First let's find out how much is that salary by <em>a day</em>, then by <em>an hour</em>, then by <em>a minute</em> and finally by <em>a second</em>.

\frac{20,000,000,000}{year}*(\frac{1 year}{365d})*(\frac{1d}{24h})*(\frac{1}{60min} )*(\frac{1min}{60s} )  \\\\  =\frac{20,000,000,000}{365*24*60*60} \\ \\ =\frac{20,000,000,000}{31,536,000} \\ \\ =634.19

So he would be losing money if he picks up the $100 bill, because he would be missing 634 dollars per second.

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3 years ago
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8 0
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