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8090 [49]
3 years ago
8

A bond has a modified duration of 8 and a price of 112,955 calculated using an annual effective interest rate of 6.4%. EMAC is t

he estimated price of this bond at an interest rate of 7.0% using the first-order Macaulay approximation EMOD is the estimated price of this bond at an interest rate of 7.0% using the first-order modified approximation Calculate EC EMOD A. 91 B. 102 C. 116 D. 127 E. 143
Business
1 answer:
quester [9]3 years ago
5 0

Answer:

Option E (143) is the appropriate solution.

Explanation:

According to the question,

The modified duration will be:

= \frac{Macaulay \ duration}{(1+yield)}

= 8\times 1.064

= 8.512

The percentage change in price will be:

= -0.6\times 8 \ percent

= -4.8 (%)

Now,

The EMOD will be:

= 112955\times (1-4.8 \ percent)

= 107533.2 ($)

Or,

The EMAC will be:

= 112955\times (\frac{1.064}{1.07} )^{8.512}

= 107675.7 ($)

Hence,

⇒ EMOD-EMAC=107533.2-107675.7

                                  =-142.5

⇒ EMAC-EMOD=143

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