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Alex_Xolod [135]
3 years ago
15

In November 2017, Treasury 4 5/8s of 2042 offered a semiannually compounded yield to maturity of 2.62%. Recognizing that coupons

are paid semiannually, calculate the bond's price. Assume face value is $1,000. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Business
1 answer:
Zigmanuir [339]3 years ago
7 0

Answer:

Price of Bond = $1,365.98

Explanation:

Face Value = $1000

Yield to Maturity = 2.62% compounded semiannually

Coupon Rate = 4 5/8 = 4+ 5/8 = 4.625%

Time To Maturity = 2042-2017 = 25 years

Semiannual Coupon Payment = 4.625% *1000/2

Semiannual Coupon Payment = $23.125

Price of Bond = 23.125(P/A,1.31%,50) + 1000(P/F,1.31%,50)

Price of Bond = 23.125*36.514 + 1000*0.5216

Price of Bond = 844.38 + 521.6

Price of Bond = $1,365.98.

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Two investment opportunities are as follows:________. Alt A Alt B First Cost 200 100 Uniform annual benefit 32 27 End of useful
Talja [164]

Answer:

Since the 4.34 NPV of Alt A is greater than the 2.35 NPV of Alt B, it therefore implies that Alt A should be selected.

Explanation:

Note: The data in the question are merged together. They are therefore sorted before answering the question as follows:

                                                          Alt A              Alt B

First Cost                                           200                 100

Uniform annual benefit                       32                   27

End of useful life salvage value         20                    0

Useful life, in years                              10                     5

The explanation to the answer is now given as follows:

a. Calculation of NPV of Alt A

First Cost = 200

PV of uniform annual benefit = P * ((1 - (1 / (1 + r))^n) / r) ……………………. (2)

Where;

P = uniform annual benefit = 32

r = MACC = 10%, or 0.10

n = number of useful years = 10

Note: The formula for calculating the present value of ordinary annuity is being used here to calculate the Present Value (PV) of uniform annual benefit.

Substitute the values into equation (1) to have:

PV of uniform annual benefit = 32 * ((1 - (1 / (1 + 0.10))^10) / 0.10) = 32 * 6.14456710570468 = 196.63

PV of Salvage value = FV / (1 + r)^n ..................... (2)

Where;

FV = End of useful life salvage value = 20

r = MACC = 10%, or 0.10

n = number of useful years = 10

Note: The normal formula for calculating the present value (PV) is being used here to calculate the PV of Salvage value

Substitute the values into equation (2) to have:

PV of Salvage value = 20 / (1 + 0.10)^10 = 20 / 2.5937424601 = 7.71

Net present value (NPV) of Alt .A = PV of uniform annual benefit + PV of Salvage value - First cost = 196.63 + 7.71 - 200 = 4.34

b. Calculation of NPV of Alt B

First Cost = 100

PV of uniform annual benefit = P * ((1 - (1 / (1 + r))^n) / r) ……………………. (3)

Where;

P = uniform annual benefit = 27

r = MACC = 10%, or 0.10

n = number of useful years = 5

Note: The formula for calculating the present value of ordinary annuity is also being used here to calculate the Present Value (PV) of uniform annual benefit.

Substitute the values into equation (3) to have:

PV of uniform annual benefit = 27 * ((1 - (1 / (1 + 0.10))^5) / 0.10) = 27 * 3.79078676940845 = 102.35

NPV of Alt B = PV of uniform annual benefit - First cost = 102.35 – 100 = 2.35

c. Decision

Since the 4.34 NPV of Alt A is greater than the 2.35 NPV of Alt B, it therefore implies that Alt A should be selected.

6 0
2 years ago
What are the two risk components that determine a firm's cost of equity?
Yanka [14]

Traditionally, the formulas used to express a firm's cost of equity are the dividend capitalization model and the capital asset pricing model (CAPM).

Explanation:

Generally, two risk components determine a firm's cost of equity. The first is the systematic risk associated with the broader equity market. All firms are exposed to this risk, and it cannot be mitigated through diversification.

The second risk component is the unsystematic risk associated with the firm in question. This risk, often reflected as beta, a measure of the stock's volatility in relation to the volatility of the broader market, can be mitigated via diversification.

5 0
3 years ago
German expressionist films are characterized by _____________ settings, ____________ camera angles, and themes such as _________
dimulka [17.4K]
<span>german expressionist films are characterized by exaggerated settings, oblique camera angles, and themes such as alienation.</span>
4 0
3 years ago
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Scott consumes only two goods, rice and soup. His preferences are complete, transitive, monotonic and convex. When the price of
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Answer:E(none of the above)

Explanation:

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3 years ago
If a gain of $7,600 results from selling (for cash) office equipment having a book value of $55,100, the amount reported in the
Alisiya [41]

The amount reported in the Cash Flows from (used for) Operating Activities section of the statement of cash flows using the indirect method is $7,600.

<h3>Cash flow from operating activities sections:</h3>

Based on the information given the amount that will be reported in the Cash Flows from (used for) Operating Activities section of the statement of cash flows using the indirect method is the gain amount of $7,600.

This  gain is the gain from selling office equipment and this amount must be deducted from net income in the operating activities section of the statement of cash flows.

The reason why we have to deduct the $7,600 is because under accrual basis of accounting  the amount represent a noncash addition to net income.

Inconclusion the amount reported in the Cash Flows from (used for) Operating Activities section of the statement of cash flows using the indirect method is $7,600.

Learn more about cash flow from operating activities sections here:brainly.com/question/25530656

3 0
2 years ago
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