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Mariulka [41]
2 years ago
5

On July 1, 2017, Markie purchased a ten-year $10,000 bond. The bond has a stated interest rate of 4%, payable annually on July 1

. On June 2, 2018, 336 days from the last interest payment, Markie sold the bond. The selling price includes how much accrued interest?(A) $32(B) $368(C) $400(D) $768
Business
1 answer:
sergejj [24]2 years ago
7 0

Answer:

Interest will be $368

So option (B) will be correct answer

Explanation:

We have given Markle purchased a ten year $10000 bond

So price of bond = $10000

Rate of interest = 4 %

Time = 336 days

We know that 1 year = 365 days

So 336days=\frac{336}{365}=0.9205year

So interest will be equal to interest=\frac{price\times rate\ of\ interest\times time}{100}=\frac{10000\times 4\times 0.9205}{100}=$368

So option (B) will be correct answer

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Cincinnati Exporters wants to raise $40 million to expand its business. To accomplish this, it plans to sell 22-year, $1,000 fac
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Answer:

Minimum number of units to be issued = 45,791.4 units

Explanation:

The units of the bonds to be sold to raise the money equals to the price of the bonds divided by the sum to be raised

The price of a bond is the present value (PV) of the future cash inflows expected from the bond discounted using the yield to maturity.

These cash flows include interest payment and redemption value

The price of the bond can be calculated as follows:

Step 1

PV of interest payment

Semi-annual coupon rate = 5.72/2 = 2.86 %

Semi-annual Interest payment =( 2.86 %×$1000)= $28.6

Semi annual yield = 6.85%/2 = 3.42%

PV of interest payment  

= A ×(1- (1+r)^(-n))/r

A- interest payment, r- yield -3.42%, n- no of periods- 2 × 22 = 44 periods

= 28.6× (1-(1.0342)^(-44)/0.0342)= 645.82

 

Step 2  

PV of redemption value (RV)

PV = RV × (1+r)^(-n)

RV - redemption value- $1000, n- 7, r- 4.5%  

= 1,000 × (1+0.0342)^(-2×22)

= 1000 × 1.0342^(-44)= 227.7

Step 3

Price of bond = PV of interest payment + PV of RV

645.82 + 227.7= 873.525

Minimum number of units to be issued = $40 million/873.5= 45,791.4 units

 

Minimum number of units to be issued = 45,791.4 units

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