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Kruka [31]
2 years ago
13

An annual has 15 years to maturity. It has a coupon rate of 5%, a YTM of 8%. Fill in the cells highlighted in yellow, and aswer

the questions in the D2L Quiz. You will have 4 attempts to complete this quiz. To start with, assume that interest rates in the market just increased by 2% (this change is entered in cell B28). Hint: Do not enter any numbers manually in any of the cells; always refer to another cell where the number is entered. For example, instead of typing 5% manually, refer to cell B1.
Business
1 answer:
grin007 [14]2 years ago
3 0

Answer:

Market value at 8% YTM  $ 743.2156

at 10% YTM                       $ 619.6960

Explanation:

Assuming the face value is 1,000 as common outstanding American company's bonds:

Market value under the current scenario:

<u>Present value of the coupon payment:</u>

<u />

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

Coupon: $1,000 x 5% =  50

time 15 years

rate 0.08

50 \times \frac{1-(1+0.08)^{-15} }{0.08} = PV\\

PV $427.9739

<u>Present Value of the Maturity</u>

<u />

\frac{Maturity}{(1 + rate)^{time} } = PV  

Maturity   1,000.00

time   15.00

rate  0.08

\frac{1000}{(1 + 0.08)^{15} } = PV  

PV   315.24

PV c $427.9739

PV m  $315.2417

Total $743.2156

If the interest rate in the market increaseby 2% then investor will only trade the bonds to get a yield 2% higher that is 10% so we recalculate the new price:

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

C 50.000

time 15

rate 0.1

50 \times \frac{1-(1+0.1)^{-15} }{0.1} = PV\\

PV $380.3040

\frac{Maturity}{(1 + rate)^{time} } = PV  

Maturity   1,000.00

time   15.00

rate  0.1

\frac{1000}{(1 + 0.1)^{15} } = PV  

PV   239.39

PV c $380.3040

PV m  $239.3920

Total $619.6960

Giving a lower price than before

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