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denpristay [2]
3 years ago
8

One year ago, Alpha Supply issued 15-year bonds at par. The bonds have a coupon rate of 6.5 percent, paid semiannually, and a fa

ce value of $1,000. Today, the market yield on these bonds is 7.2 percent. What is the percentage change in the bond price over the past year?A) 5.94 percentB) 5.38 percentC) -6.11 percentD) -5.87 percentE) The bond price did not change
Business
1 answer:
Masja [62]3 years ago
4 0

Answer:

option (C) - 6.11%

Explanation:

Data provided :

Coupon rate one year ago = 6.5% = 0.065

Semiannual coupon rate = \frac{0.065}{2} = 0.0325

Face value = $1,000

Present market yield = 7.2% = 0.072

Semiannual Present market yield, r = \frac{0.072}{2} = 0.036

Now,

With semiannual coupon rate bond price one year ago, C

= 0.0325 × $1,000

= $32.5

Total period in 15 years = 15 year - 1 year = 14 year

or

n = 14 × 2 = 28 semiannual periods

Therefore,

The present value = C\times[\frac{(1-(1+r)^{-n})}{r}]+FV(1+r)^{-n}

= \$32.5\times[\frac{(1-(1+0.036)^{-28})}{0.036}]+\$1,000\times(1+0.036)^{-28}

or

= $32.5 × 17.4591 + $1,000 × 0.37147

= $567.42 + $371.47

= $938.89

Hence,

The percent change in bond price = \frac{\textup{Final price - Initial price}}{\textup{Initial price}}\times100\%

= \frac{\textup{938.89-1,000}}{\textup{1,000}}

= - 6.11%

therefore,

the correct answer is option (C) - 6.11%

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Suppose that the S&P 500, with a beta of 1.0, has an expected return of 13% and T-bills provide a risk-free return of 4%. a.
Aleksandr [31]

Answer:

a. The answers are as follows:

(i) Expected of Return of Portfolio = 4%; and Beta of Portfolio = 0

(ii) Expected of Return of Portfolio = 6.25%; and Beta of Portfolio = 0.25

(iii) Expected of Return of Portfolio = 8.50%; and Beta of Portfolio = 0.50

(iv) Expected of Return of Portfolio = 10.75%; and Beta of Portfolio = 0.75

(v) Expected of Return of Portfolio = 13%; and Beta of Portfolio = 1.0

b. Change in expected return = 9% increase

Explanation:

Note: This question is not complete as part b of it is omitted. The complete question is therefore provided before answering the question as follows:

Suppose that the S&P 500, with a beta of 1.0, has an expected return of 13% and T-bills provide a risk-free return of 4%.

a. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of (i) 0; (ii) 0.25; (iii) 0.50; (iv) 0.75; (v) 1.0

b. How does expected return vary with beta? (Do not round intermediate calculations.)

The explanation to the answers are now provided as follows:

a. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of (i) 0; (ii) 0.25; (iii) 0.50; (iv) 0.75; (v) 1.0

To calculate these, we use the following formula:

Expected of Return of Portfolio = (WS&P * RS&P) + (WT * RT) ………… (1)

Beta of Portfolio = (WS&P * BS&P) + (WT * BT) ………………..………………. (2)

Where;

WS&P = Weight of S&P = (1) – (1v)

RS&P = Return of S&P = 13%, or 0.13

WT = Weight of T-bills = 1 – WS&P

RT = Return of T-bills = 4%, or 0.04

BS&P = 1.0

BT = 0

After substituting the values into equation (1) & (2), we therefore have:

(i) Expected return and beta of portfolios with weights in the S&P 500 of 0 (i.e. WS&P = 0)

Using equation (1), we have:

Expected of Return of Portfolio = (0 * 0.13) + ((1 - 0) * 0.04) = 0.04, or 4%

Using equation (2), we have:

Beta of Portfolio = (0 * 1.0) + ((1 - 0) * 0) = 0

(ii) Expected return and beta of portfolios with weights in the S&P 500 of 0.25 (i.e. WS&P = 0.25)

Using equation (1), we have:

Expected of Return of Portfolio = (0.25 * 0.13) + ((1 - 0.25) * 0.04) = 0.0625, or 6.25%

Using equation (2), we have:

Beta of Portfolio = (0.25 * 1.0) + ((1 - 0.25) * 0) = 0.25

(iii) Expected return and beta of portfolios with weights in the S&P 500 of 0.50 (i.e. WS&P = 0.50)

Using equation (1), we have:

Expected of Return of Portfolio = (0.50 * 0.13) + ((1 - 0.50) * 0.04) = 0.0850, or 8.50%

Using equation (2), we have:

Beta of Portfolio = (0.50 * 1.0) + ((1 - 0.50) * 0) = 0.50

(iv) Expected return and beta of portfolios with weights in the S&P 500 of 0.75 (i.e. WS&P = 0.75)

Using equation (1), we have:

Expected of Return of Portfolio = (0.75 * 0.13) + ((1 - 0.75) * 0.04) = 0.1075, or 10.75%

Using equation (2), we have:

Beta of Portfolio = (0.75 * 1.0) + ((1 - 0.75) * 0) = 0.75

(v) Expected return and beta of portfolios with weights in the S&P 500 of 1.0 (i.e. WS&P = 1.0)

Using equation (1), we have:

Expected of Return of Portfolio = (1.0 * 0.13) + ((1 – 1.0) * 0.04) = 0.13, or 13%

Using equation (2), we have:

Beta of Portfolio = (1.0 * 1.0) + (1 – 1.0) * 0) = 1.0

b. How does expected return vary with beta? (Do not round intermediate calculations.)

There expected return will increase by the percentage of the difference between Expected Return and Risk free rate. That is;

Change in expected return = Expected Return - Risk free rate = 13% - 4% = 9% increase

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A JIT system uses kanban cards to authorize movement of incoming parts. In one portion of the system, a work center uses an aver
ycow [4]

Answer: 4 containers

Explanation:

The formula used to get the number of containers that are needed will be:

N = DT(1+X)/C

where,

N = total containers

D = planned usage rate used by the work center = 111 parts per hour

T = average waiting time = 100 minutes = 100/60 hours = 1.67 hours

X = inefficiency factor = 0.21

C = capacity of standard container = 5 dozens = 5 × 12 = 60 parts

N = DT(1+X)/C

N = (111 × 1.67)(1 + 0.21)/60

N = (185.37 × 1.21)/60

N = 224.2977/60

N = 3.738

N = 4 approximately

4 containers will be needed

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Which one of the following statements does NOT describe a problem with using ROE as a performance measure? A. ROE measures retur
Ne4ueva [31]

Answer:

B) ROE is a forward-looking, one-period measure, while business decisions span the past and present

Explanation:

ROE is a forward-looking, one-period measure, while business decisions span the past and present, this statement does not describe a problem with using ROE as a performance measure.

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This is done in order to get customers in the door. It is a method of enticing buyers to purchase your products.

This stategy attracts news customers because goods are being sold at significant discount to market price.

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Some of these specific limits apply to a building or personal property at a single location.

From the listed option, the personal property items that have the HIGHEST specific limitation on coverage are jewelry, watches, and precious stones or metals because they are saved in a location, especially in banks

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