Question

You have the option to buy a 10 year old bond. The bond offers a 5.3% annual interest (coupon) rate interests are paid annually, and the nominal value of the bond is 1687 EUR Flow much are you willing to pay for such a bond in EUR if you could put your money in a comparable investment that yields a return of 6.7% per annum

271

likes
1356 views

Answer to a math question You have the option to buy a 10 year old bond. The bond offers a 5.3% annual interest (coupon) rate interests are paid annually, and the nominal value of the bond is 1687 EUR Flow much are you willing to pay for such a bond in EUR if you could put your money in a comparable investment that yields a return of 6.7% per annum

Expert avatar
Jayne
4.4
106 Answers
### Step 1: Calculate the Annual Coupon Payment

C = 0.053 \times 1687
C = 89.411 \text{ EUR}

### Step 2: Calculate the Present Value of the Annuity

PV_{\text{annuity}} = 89.411 \times \left(\frac{1 - (1 + 0.067)^{-10}}{0.067}\right)
PV_{\text{annuity}} = 636.79 \text{ EUR}

### Step 3: Calculate the Present Value of the Lump Sum

PV_{\text{lump sum}} = \frac{1687}{(1 + 0.067)^{10}}
PV_{\text{lump sum}} = 882.00 \text{ EUR}

### Step 4: Calculate the Total Present Value of the Bond

PV_{\text{total}} = PV_{\text{annuity}} + PV_{\text{lump sum}}
PV_{\text{total}} = 636.79 + 882.00
PV_{\text{total}} = 1518.79 \text{ EUR}

### Answer:
The total present value of the bond, which represents how much you should be willing to pay for it given a comparable investment yield of 6.7% per annum, is approximately 1518.79 EUR.

Frequently asked questions (FAQs)
What is the area of a triangle with base of 6 units and height of 4 units?
+
What is the integral of ∫(cos^2(x) + sin^2(x)) dx?
+
What is the perimeter of a triangular field if one side measures 20 meters, the second side is twice the length of the first, and the third side is three times the length of the first?
+
New questions in Mathematics
Calculate to represent the function whose graph is a line that passes through the points (1,2) and (βˆ’3,4). What is your slope?
given cos26=k find cos13
3(4Γ—-1)-2(Γ—+3)=7(Γ—-1)+2
A food delivery company charges on average a delivery fee of $5 per order (including food and shipping) and has monthly fixed costs of $600. If the average cost of each meal delivered that is revenue for the company is $10 and the company has a monthly profit of $800, how many orders must they deliver per month?
4.2x10^_6 convert to standard notation
Equivalent expression of the sequence (3n-4)-(n-2)
The main cost of a 5 pound bag of shrimp is $47 with a variance of 36 if a sample of 43 bags of shrimp is randomly selected, what is the probability that the sample mean with differ from the true mean by less than $1.4
Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places
The miles per gallon (mpg) for each of 20 medium-sized cars selected from a production line during the month of March are listed below. 23.0 21.2 23.5 23.6 20.1 24.3 25.2 26.9 24.6 22.6 26.1 23.1 25.8 24.6 24.3 24.1 24.8 22.1 22.8 24.5 (a) Find the z-scores for the largest measurement. (Round your answers to two decimal places.) z =
Find the equation of the line perpendicular to βˆ’5π‘₯βˆ’3𝑦+5=0 passing through the point (0,βˆ’2)
Suppose the Golf ball market is perfectly competitive and the functions are known: Q = 120 – 2Px – 2Py 0.2I Q = 2Px 40 Where I = Consumers' income ($200) and Py = Price of Good Y (40) Calculate the equilibrium elasticity: a) 1.6 b) -6 c) 6 d) 0.6
What is the appropriate measurement for the weight of an African elephant?
Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230Β° and boat B has a bearing of 120Β°. Emma estimates the angles of depression to be about 38Β° for boat A and 35Β° for boat B. How far apart are the boats to the nearest meter?
sin 30
How much does the average college student spend on food per month? A random sample of 50 college students showed a sample mean $670 with a standard deviation $80. Obtain the 95% confidence interval for the amount college students spend on food per month.
Gender and communication : Answer the question ( 1 paragraph is ok) . Please can you write about women? Compared to your other identities, how much of a role does gender play in your life? And has your own sex/gender offered you privileges or disadvantages? How so?
A membership to the gym cost $25 per person in 1995. The membership cost has increased by an average $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995. What is the cost of a gym membership in 2009?
The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?
It costs a manufacturer $2,500 to purchase the tools to manufacture a certain homemade item. If the cost for materials and labor is 60Β’ per item produced, and if the manufacturer can sell each item for 90Β’, find how many items must he produce and sell to make a profit of $2000?
Find the rule that connects the first number to the second number of each pair. Apply the rule to find the missing number in the third pair. (18 is to 22) (54 is to 26) (9 is to ?)