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Ksivusya [100]
3 years ago
7

Consider the following $1,000 par value zero-coupon bonds:

Business
1 answer:
ratelena [41]3 years ago
5 0

Answer:

The expected 1-year interest rate 2 years from now should be 8.11%

Explanation:

The Zero-coupon rate bond is a bond that does not offer the coupon payment. This coupon is issued at a deep discount value. The only cash flow associated with this bond is the face value at the maturity date.

Use following equation to calculate the The expected 1-year interest rate 2 years from now

( 1 + 1 years maturity rate)^1 x ( 1 + 2 years maturity rate)^2 = ( 1 + 3 years maturity rate)^3

( 1 + 1 years maturity rate) x ( 1 + 6.60%)^2 = ( 1 + 7.10%)^3

( 1 + 1 years maturity rate) x ( 1.0660)^2 = ( 1.0710)^3

( 1 + 1 years maturity rate) = ( 1.0710)^3 / ( 1.0660)^2

( 1 + 1 years maturity rate) = 1.228481 / 1.136356

1 + 1 years maturity rate = 1.081071

1 years maturity rate = 1.081071 - 1

1 years maturity rate = 0.081071

1 years maturity rate = 8.1071%

1 years maturity rate = <u>8.11%</u>

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The total value (debt plus equity) of Wilson Dover Inc. is $500 million and the face value of its 1-year coupon debt is $200 mil
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Answer:

The yield on Wilson Dover's debt is 7.42%

Explanation:

In order to calculate the yield on Wilson Dover's debt we would have to calculate first the value of debt as follows:

value of debt=Total value*N(d1)-Debt*e∧-r fx period*N(d2)

value of debt=$500 million*0.9720-$200 million*2.7183∧-0.05*1*0.9050

value of debt=$486 million-$200 million*0.951229*0.9050

value of debt=$486 million-$172.1724 million

value of debt=$313.8276 million

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=$186.17 million

The value of debt is $186.17 million

So, to calculate the yield we have to use the following formula:

Yield=(Face Value/current value)∧1/period-1

Yield=($200 million/$186.17 million)∧1-1

Yield=1.074286942-1

Yield=7.42%

The yield on Wilson Dover's debt is 7.42%

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