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RideAnS [48]
3 years ago
8

Several years ago, Castles in the Sand Inc. issued bonds at face value of $1,000 at a yield to maturity of 6.2%. Now, with 6 yea

rs left until the maturity of the bonds, the company has run into hard times and the yield to maturity on the bonds has increased to 15%. What is the price of the bond now
Business
1 answer:
lyudmila [28]3 years ago
8 0

Answer:

The price of the bond is $659.64.

Explanation:

C = coupon payment = $62.00 (Par Value * Coupon Rate)

n = number of years = 6

i = market rate, or required yield = 15 = 0.15  = 0.15 /2  = 0.075

k = number of coupon payments in 1 year = 2

P = value at maturity, or par value = $1000

BOND PRICE= C/k [ 1 - ( 1 / ( 1 + i )^nk ) / i ] + [ P / ( 1 + i )^nk )]

BOND PRICE= 62/2 [ 1 - ( 1 / ( 1 + 0.075 )^6x2 ) / 0.075 ] + [ $1,000 / ( 1 + 0.075 )^6x2 )]

BOND PRICE= 31 [ 1 - ( 1 / ( 1.075 )^12 ) / 0.075 ] + [ $1,000 / ( 1.075 )^12 )]

BOND PRICE= 31 [ 1 - ( 1 / ( 1.075 )^12 ) / 0.075 ] + [ $1,000 / ( 1.075 )^12 )]

BOND PRICE= $239.79 + $419.85 = $659.64

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On January 1, 2018, Allgood Company purchased equipment and signed a six-year mortgagenote for $186,000 at 15%. The note will be
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Answer:

The correct answer is A: interest= $21048

Explanation:

An amortization schedule is a complete table of periodic loan payments, showing the amount of principal and the amount of interest that comprise each payment until the loan is paid off at the end of its term. While each periodic payment is the same amount early in the schedule, the majority of each payment is interest; later in the schedule, the majority of each payment covers the loan's principal.

Each payment is the same ($49,148), but the proportions of interest and capital pay changes. The interest proportion decreases from pay to pay.

Loan= 186000

i= 15%

n= 6 years

First pay:

i=186000*0,15=27900

amortization= 49148-27900=21248

Second pay:

i=(186000-21248)*0,15=24712

amort=49148-24712=24436

Third pay:

i=(164752-24436)*0,15=21048

amort=49148-21048=28100

While payments progress, interest decreases and amortization increases.

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A ten-year note is priced at par and has a (modified) duration of 7.8 years. A twenty-five year bond has a (modified) duration o
harina [27]

Answer:

Between 7.8 and 12 Years

Explanation:

The modified duration of a portfolio is defined as a weighted average in the modified duration of an individual bonds. Therefore it will lie between the extreme values of the modified duration of the bonds in portfolio so that the weights are all positive.

In the context, the modified duration lies between 7.8 years and 12 years as the modified duration would always lie between the lowest modified duration and the highest modified duration of any bonds in a portfolio. Therefore the weights are value that will lie between these two years.

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Under what conditions would a nation be viewed as being neither a net borrower nor a net lender in the international economy?.
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