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 value of 3 to the power of 4 multiplied by 3 to the power of 2?
+
What is the formula for finding the measure of an exterior angle of a polygon with n sides?
+
What is the limit as x approaches infinity of (3x^2 + 5x + 2) / (2x^2 + x)
+
New questions in Mathematics
a to the power of 2 minus 16 over a plus 4, what is the result?
Convert the following function from standard form to vertex form f(x) = x^2 + 7x - 1
The strength of Kefexin oral suspension is 100 mg/ml. Nora has been prescribed cefalexin at a dose of 50 mg/kg/day divided in two single doses. Nora weighs 14 kg. How many milliliters of solution for Nora should be given as a single dose?
a ferry travels 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour.
431414-1*(11111-1)-4*(5*3)
A person who weighs 200 pounds on earth would weigh about 32 pounds on the moon. Find the weight of a person on earth who would weigh 15 pounds on the moon.
Calculate the equation of the tangent line ay=sin(x) cos⁡(x)en x=π/2
4.2x10^_6 convert to standard notation
1. Suppose we have a good whose quantity supplied changed from 100 to 120 units when the price increased from $10 to $12 per unit. Compute the price elasticity of supply using the midpoint method
Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll? Draw the diagram
A pair of die is thrown and the absolute difference of the two scores is recorded. What is the probability of the absolute difference being 4 or more?
Nice's central library building is considered one of the most original in the world, as it is a mix between a sculpture and a work of habitable architecture. It was called La Tête Carrée and is made up of part of a bust that supports a cube divided into five floors. It is known that the building has a total height of approximately 30 meters. It admits that the cubic part of the sculpture is parallel to the floor and has a volume of 2744 meters3 Calculate, in meters, the height of the bust that supports the cube. Displays all the calculations you made.
A bag has 4 green lollipops, 3 white lollipops, and 1 black lollipop. What is the probability of drawing a white lollipop?
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
Your grandfather has run a small high street pharmacy for 40 years. After much persuasion, he has agreed to open a digital store online. List 5 potential ways to improve sales and/or margins by having a digital pharmacy through the utilisation of historic or new sales data.
Let X be a discrete random variable such that E(X)=3 and V(X)=5. Let 𝑌 = 2𝑋^2 − 3𝑋. Determine E(Y).
7- A printing company found in its investigations that there were an average of 6 errors in 150-page prints. Based on this information, what is the probability of there being 48 errors in a 1200-page job?
Sally’s sales for last Sunday were $1,278. That was an increase of 6.5% over her sales for the previous Saturday. What were her sales for the previous Saturday?
Paola went on vacation for 15 days if it rained 20% of the days. How many days did it rain?
Mark is gluing a ribbon around the sides of a picture frame. The frame is 11 inches long and 7 includes wide. How much ribbon does Mark need?