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Mashcka [7]
3 years ago
15

You own a bond that pays $62 in interest annually. The face value is $1,000 and the current market price is $1,034.14. The bond

matures in 10 years. What is the yield to maturity

Mathematics
1 answer:
Hoochie [10]3 years ago
4 0

Given that, the yield to maturity is

YTM= (C + (F-P)/n) / ((F+P)/2)

Where,

C= coupon interest or payment=$62

F= face value=$1000

P=price= $1034.14

n= year's to maturity =10years

Then, applying the formulae

YTM= (C + (F-P)/n) / ((F+P)/2)

YTM= (62 + (1000-1034.14)/10) / ((1000+1034.14)/2)

YTM= (62 + (-34.14)/10) / ((2034.14)/2)

YTM= (62 + - 3.414) /1017.07

+×-=-

YTM= (62 + - 3.414) /1017.07

YTM=58.586/1017.07

YTM=0.0576

Then, the percentage is

YTM=0.0576×100

YTM=5.76%

The yield to maturity is 5.76%

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Please find the attached file for a proper understanding of the question given here. The diagram in the file attached is the complete accompanying diagram of the question.

As per that diagram, RS\cong SB (which is given)

and we know that \angle DSB\cong \angle RST (vertically opposite angles).

Thus, the only way ΔDSB ≅ ΔTSR by SAS is when DS\cong ST as indicated in the diagram.

Thus, DS\cong ST is the correct answer.


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Answer:

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Step-by-step explanation:

Normally when I multiply mixed numbers, I change them to improper fractions first so that it is easier.

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