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Murrr4er [49]
2 years ago
13

A 10,000 par value bond with coupons at 8%, convertible semiannually, is being sold three years and four months before the bond

matures. The purchase will yield 6%convertible semiannually to the buyer. The price at the most recent coupon date, immediately after the coupon payment, was 5,640.Calculate the market (quoted) price of the bond.
Business
1 answer:
konstantin123 [22]2 years ago
6 0

Answer:

$9,124.94

Explanation:

the clean price of the bond two months ago was $5,640.

Currently, interest rate have changed and the price of the bond has changed:

the semiannual yield is 4%, that means that the bimonthly yield = 1.04 = (1 + r)³

1 + r = 1.0132

r = 0.0132

the current price of the bond:

PV of face value = $10,000 / (1 + 0.0132)²⁰ = $7,693.01

PV of coupon payments = ($300 x {[1 - (1 + 0.04)⁻⁶] / 0.04}) / (1 + 0.0132)² = $1,572.64 / (1 + 0.0132)² = $1,531.93

minus accrued interests (dirty price) = $300 x 1/3 = $100

Market value of bond = $9,124.94

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I used an excel spreadsheet to record this transactions on an accounting equation.  

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Download pdf
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3 years ago
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Explanation:

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c) The high low cost method is generally inaccurate because it only considers the extremes, the highest and lowest costs and activity levels. Generally costs are not linear, but they might follow a certain tendency. The advantages of the high low cost method is that it is fairly accurate when costs are stable, plus it is much simpler to calculate.

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