1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KonstantinChe [14]
3 years ago
12

vA $1,000 three-year par-value bond yields an effective annual interest rate of 6%. Coupons are paid on an annual basis at a rat

e of 5% per year. Determine the modified convexity of the bond
Business
1 answer:
AveGali [126]3 years ago
4 0

Answer:

10.00

Explanation:

We haven = 3

Pv = 1000

Rate if interest = 6%

Coupon = 5% x 1000

= 50

∆y = assumed to be 1%

The formula for convexity =

(V- + V+)-2Vo/Vo+(∆y)²

We first solve for Vo

Using the financial calculator

Vo = 973.26

Then we solve for V-

Pv = 1000

Pmt = 50

I = 5%

n = 3

V- = 1000

We solve for V+

I = 7%

Pmt = 50

N = 3

V+ = 947.51

Then the convexity is gotten by putting these values into the formula

= (1000+947.51)-2x973.26/973.26x(1%)²this is approximately

10

Please check attachment for more details

You might be interested in
Wildhorse Co. took a physical inventory on December 31 and determined that goods costing $198,500 were on hand. Not included in
timofeeve [1]

Answer:

$249,500

Explanation:

Calculation for the amount that Sheridan should report as its December 31 inventory

Using this formula

December 31 inventory=Goods costing+Goods purchased +Goods sold

December 31 inventory=$198,500+$25,000+$26,000

December 31 inventory=$249,500

Therefore the amount that Sheridan should report as its December 31 inventory will be $249,500

8 0
3 years ago
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

4 0
3 years ago
After the first night of her three-night stay, ms. welk complained about the noise from the lounge on the floor below her room.
kumpel [21]

This transaction is called account allowance. Account allowance includes two kinds of transactions – to reduce in the folio balance compensation for poor service and the other one is to correct posting mistakes after the close of business. This kind of transaction is recognized by the usage of an allowance voucher, allowance vouchers are typically necessitate management endorsement.

3 0
3 years ago
A company purchased a computer system at a cost of $34,000. The estimated useful life is 8 years, and the estimated residual val
Iteru [2.4K]

Answer:

Year 2= $4,687.5

Explanation:

Giving the following information:

Purchase price= $34,000

Useful life= 8 years

Salvage value= $9,000

<u>To calculate the depreciation expense under the double-declining-balance, we need to use the following formula:</u>

<u></u>

Annual depreciation= 2*[(book value)/estimated life (years)]

Year 1= [(34,000 - 9,000)/8]*2= $6,250

Year 2= [(25,000 - 6,250)/8]*2= $4,687.5

3 0
3 years ago
A cup of Starbucks coffee is just as good as a cup of Dunkin Donuts coffee for me (assuming equal sized cups.) The price of coff
Oxana [17]

Answer:

TRUE

Explanation:

It is given that both Starbucks coffee as well as Dunkin Donuts coffee are both perfect for me. They taste same and the quality of the coffee in both are same. The price of Starbucks coffee is more than the coffee in Dunkin Donuts. As a customer I would prefer the lower cost item i.e. the Dunkin Donuts coffee.

After the pandemic, the price of the Starbucks coffee have increased. But my utility of purchasing coffee from Dunkin Donuts is not changed as the price of the Dunkin Donuts coffee is still the lowest between the two. So I will continue buying coffee from Dunkin Donuts like before. Thus my utility remains unchanged.

4 0
2 years ago
Other questions:
  • David Wallace was the president, chairman of the board of directors, and majority shareholder of Paper Imports, Inc. Acting as p
    10·1 answer
  • Which of the following organizational structures led to massive increases in the deployment of capital in the US and UK in the n
    12·2 answers
  • The unemployment that results because the number of jobs available in some labor markets is insufficient to provide a job for ev
    13·1 answer
  • Which type of account is typically the most liquid
    9·1 answer
  • Question in pic above thx
    5·1 answer
  • What are the two kinds of business or organizational structure?​
    5·1 answer
  • The last step in the decision-making process is where you_____your decision, This helps you to look back on your decision and de
    12·1 answer
  • Korey is planning to open a comic book store near his home. after completing a population survey for 3,520 homes in a 5 mile rad
    10·2 answers
  • You are evaluating a potential purchase of several light-duty trucks. The initial cost of the trucks will be $194,000. The truck
    8·1 answer
  • If two identifiable markets differ with respect to their price elasticity of demand and resale is impossible, a firm with market
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!