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2 years ago

The market risk premium is 9.0%, and the risk-free rate is 5.0%. If the expected return on a bond is 9.5%, what is its beta?

Business

1 answer:

leva [86]2 years ago

4 0

Answer:

The beta is 1

Explanation:

The computation of beta using the CAPM model is shown below:

As we know that

Expected rate of return = Risk free rate of return + Beta × Market risk premium

9.5% = 5% + Beta × 9.0%

9.5% - 5% = Beta × 9.0%

9.0% = Beta × 9.0%

So, the beta is 1

We simply applied the above formula so that the correct value could come

And, the same is to be considered

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Suppose that the term structure is currently flat so that bonds of all maturities have yields to maturity of 10%. Currently a 5-

laila [671]

Answer:

Explanation:

a) PV=$1000

As price is equal to face value then the Coupon rate will be equal to its YTM, 10%.

Annual Coupons = 10% * 1000 = $100

b.) We have purchased the bond for $1000, so our investment is $1000

At the end of the year 1, we get a coupon of $100 and the selling price.

1st CASE - When monetary policy is tight.

New YTM = 12%

Time left to maturity (n) = 4 years

Coupon payment = $100

Price = Coupon payment X PVAF(YTM, n) + Face Value X PVF(YTM, n)

[USE TABLES or Financial calculator]

Price = 100 X PVAF(12%, 4) + 1000 X PVF(12%, 4) = 100 X 3.307 + 1000 X .636 = 303.7 + 636 = $939.7

If we sell the bond, Return = (Coupon Received + Selling price - Purchase price ) \div Purchase price

= (100 + 939.7 - 1000) \div 1000 = .0397 or 3.97%

Scenario 2 - When monetory policy is loose

New YTM = 8%

Time left to maturity (n) = 4 years

Coupon payment = $100

Therefore, Price = Coupon payment X PVAF(YTM, n) + Face Value X PVF(YTM, n)

Price = 100 X PVAF(8%, 4) + 1000 X PVF(8%, 4) = 100 X 3.312 + 1000 X .735 = 331.2 + 735 = $1066.2

If we sell the bond, Return = (Coupon Received + Selling price - Purchase price ) \div Purchase price

= (100 + 1066.2 - 1000) \div 1000 = .1662 or 16.62%

4 0

3 years ago

The minimum monthly payment for Rebecca's credit card is 2% of her balance or $15, whichever is higher. If Rebecca's balance at

Leno4ka [110]

$15.00 .....this sentence is just filler because $15.00 is too short.

6 0

3 years ago

Read 2 more answers

An investment costs $152,000 and has projected cash inflows of $71,800, $86,900, and −$11,200 for Years 1 to 3, respectively. If

Radda [10]

Answer:

No; The IRR is less than the required return.

Explanation:

Calculation of IRR is given by the formula: Lr x NPVL / NPVL - NPVH x (Hr - Lr)

where

Lr = Lower rate of discount

Hr = Higher rate of discount

NPVH = NPV at Higher discount rate

NPVL = NPV at Lower discount rate

Assume a low discount rate of 1% and a high rate of 20%

NPV at 1%

Particulars Year 0 Year 1 Year 2 Year 3

Cash flows 152,000 71,800 86,900 (11,200)

DCF 1% 1 0.99 0.98 0.97

Present values (152,000) 71,082 85,162 (10,864)

NPV = $6,620

NPV at 20%

Particulars Year 0 Year 1 Year 2 Year 3

Cash flows 152,000 71,800 86,900 (11,200)

DCF 20% 1 0.83 0.69 0.58

Present values (152,000) 59,594 59,961 (6,496)

NPV = ($38,941)

Substituting values in the IRR formula we have:

1% x [($6,620 / ($6620 - (38,941))] x (20% - 1%) = 2.06%

Therefore we reject the project because it gives an IRR lower than the required rate of return of 15.5%

8 0

3 years ago

Up in Smoke Tobacco Shops' bond carries a 9 percent coupon, pays interest semiannually, and has 10 years to maturity. What is th

lara [203]

Answer:

10%

Explanation:

Since the bond is selling at a discount, it means that the coupon rate is blow the market rate, so the actual rate must be higher. Since there is only one option with an interest rate above 9%, we must check to see if it works.

10% yearly interest rate = 5% semiannual interest rate

we must determine the PV of the 20 coupons paid and the face value at maturity.

to calculate the PV of the 20 coupons ($45 each) we can use an excel spreadsheet and the NPV function with a 5% discount rate: PV of the coupons = $560.80

the PV of the face value in 10 years = $1,000 / 1.05²⁰ = $376.89

the present value of the coupons and the bond at maturity = $560.80 + $376.89 = $937.69. The PV using a 5% semiannual rate is very similar to $937.75, and since the question asked us to round up to the nearest whole percent, we can assume it is correct.

6 0

3 years ago

On the basis of this information, which of the following statements is CORRECT? a. Prestopino's cash on the balance sheet at the

mylen [45]

Answer:

b. Prestopino had negative net income in the current year

Explanation:

Retained earnings at the end of previous year were $700,000, but retained earnings at the end of current year had declined to $320,000.

• The company does not pay dividends.

• The company's depreciation expense is its only non-cash expense; it has no amortization charges.

• The company has no non-cash revenues.

• The company's net cash flow (NCF) for current year was $150,000.

On the basis of this information, which of the following statements is CORRECT? Prestopino had negative net income in the current year

Prestopino DECPRECIATION expense in the current year was less than $150,000 and Prestopino had postive net income in the currnet year however, this income was less than it was in the previous year income.

Prestopino NCF in the current year must be higher than its NCF in the previous year and it cash on the balance at the end of the year must be lower than the cash it had on the balance sheet at the end of previous year

8 0

2 years ago