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adell [148]
3 years ago
9

There are zero coupon bonds outstanding that have a YTM of 5.97 percent and mature in 19 years. The bonds have a par value of $1

0,000. If we assume semiannual compounding, what is the price of the bonds
Business
1 answer:
Fed [463]3 years ago
8 0

Answer:

market price = $1,104.20

Explanation:

yield to maturity of zero coupon bonds = (face value / market price)¹/ⁿ - 1

  • YTM = 5.97%
  • n = 19 x 2 = 38
  • face value = $10,000

(face value / market price)¹/ⁿ = YTM + 1

face value / market price = (YTM + 1)ⁿ

market price = face value / (YTM + 1)ⁿ

market price = $10,000 / 1.0597³⁸ = $10,000 / 9.0563 = $1,104.20

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"Find the amount of each payment to be made into a sinking fund which earns 7​% compounded quarterly and produces ​$50 comma 000
Elodia [21]

Answer:

Quarterly deposit= $3,182.78

Explanation:

Giving the following information:

A sinking fund earns 7​% compounded quarterly and produces ​$50,000 at the end of 3.5 years.

We need to find the quarterly deposit made at the end of each period.

<u>First, we need to calculate the quarterly interest rate:</u>

Interest rate= 0.07/4= 0.0175

To calculate the deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= quarterly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

n= 3.5*4= 14

FV= 50,000

i= 0.0175

A= (50,000*0.0175)/ [(1.0175^14)-1]= $3,182.78

3 0
3 years ago
Approximately what percentage of the jobs in the united states do small businesses provide?
Alchen [17]
Small business in the US provides 64% of new private-sector jobs,  49.2% of private sector employment and 46% of private-sector output. It can be seen clearly from this that small business is a major contributor to employment and output in the US.
7 0
3 years ago
Determine the future value of $21,000 under each of the following sets of assumptions (FV of $1, PV of $1, FVA of $1, PVA of $1,
Marat540 [252]

Answer:

(a) $43,656.90

(b) $33,698.70

(c) $43,967.70

Explanation:

Future Value of annuity shall be:

(a) 10% for 8 years, Semiannually compounded

In this since the interest is compounded semiannually, the effective interest rate = 10/2 = 5%

Future Value of $1 in 8 years with 10% interest compounded semiannually = 2.0789

Value of $21,000 = $21,000 \times 2.0789 = $43,656.90

(b) 12% for 4 years, Quarterly Compounded

In this since the interest is compounded quarterly, that is 4 times in a year, effective interest rate = 12/4 = 3%

Future value of $1 in 4 years with 12% interest compounded quarterly = 1.6047

Value of $21,000 = $21,000 \times 1.6047 = $33,698.70

(c) 36% 25 months, Monthly

In this since the interest is compounded monthly effective interest rate = 36/12 = 3%

Therefore, Future Value of $1 in 25 months @36% compounded monthly = $2.0937

Value of $21,000 = $21,000 \times 2.0937 = $43,967.70

7 0
3 years ago
Lawton Company records business transactions in dollars and disregards changes in the value of a dollar over time. Which of the
GenaCL600 [577]

Answer: Monetary unit assumption

Explanation: The monetary unit of assumption states that every transaction of the business can be expresses in relation to monetary units and these units will be stable over time. The key point in this assumption is that it assumes monetary units to be stable and dependable.

In the given case, Lawton records transactions in dollars and disregards changes in value of dollars over time. Hence, we can conclude that Lawton is following monetary unit assumption.

8 0
3 years ago
In reviewing a bank's balance sheet, the liabilities are greater than the assets. What is the best explanation that could
Alex777 [14]

Answer:

cash

Explanation:

The top line, cash, is the single most important item on the balance sheet. Cash is the fuel of a business. If you run out of cash, you are in big trouble unless there is a "filling station" nearby that is willing to fund your business

6 0
3 years ago
Read 2 more answers
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