TUTORIAL 7 – Discounted Cash Flow Valuation I
{Ross chapter 5: Critical thinking 1; Questions 4, 5, 7}
Critical Thinking
Question 5.1 – Annuity Period
As you increase the length of time involved, what happen to the present value of an annuity? What happens to the future value?
-duration increase, present value decrease (indirect relationship)
-duration increase future value increase (direct relationship)
-Assuming positive cash flow and a positive interest rate, both the present and the future value will rise.
Questions and Problems
Question 4 – Calculating Annuity Present Values
An investment offers $8,500 per year for 15 years, with the first payment occurring 1 year from now. If the required return is 9 per cent, what is
…show more content…
Question 16 – Calculating Future Values
What is the future value of $1,560 in 13 year assuming an interest rate of 9percent compounded semi-annually?
For this problem, it simply needs to find the FV of a lump sum using the equation:
FV= PV (1+r) t
It is important to note that the compounding occurs semi-annually. To account for this, it will divide the interest rate by two (the number of compounding periods in a year), and multiply the number of periods by two. Doing so, it may get:
FV= PV {[1+ (k/m)] nm} = $1560 {[1+ (0.09/2)] 13x2} =$4899.46
TUTORIAL 9 – Bond Valuation and the Structure of Interest Rates
{Parrino Chapter 8: Critical thinking: 6 & 9 (E-reading);
Question & problems: 6, 14 & 16 (E-reading)}
Critical Thinking
Question 8.6
Explain why bond prices and interest rates are negatively related? What is the role of the coupon rate and the term to maturity in this relation?
Bond prices are included market interest rate, coupon rate, and term to maturity.
(i) The market interest rate is a compound varies always. On the other hand, the coupon for the bond remains fixing until maturity. Therefore, any change in market interest rate does not affect the coupon, but it affects the price of the bond. When the market interests go up, bonds go down and vice versa.
(ii) When the coupon rate is lower. The bond will have a higher price volatility compared to a bond which has a higher coupon. This is primarily because when
The bonds can be issues with fixed interest or variable rate interest, each of which has its advantages and there disadvantages.
How much would you pay for a security that pays you $500 every 4 months for the next 10 years if you require a return of 8% per year compounded monthly?
(b) Coupon and principal of the Regular Treasury bonds are fixed, therefore if the inflation rate increases in the forecasting future, investor will receive the same amount of coupon and principal with less real value and purchasing power.
What annual interest rate is needed to produce $200,000 after five years if only $100,000 is invested?
10. An investment of $1,000 today will grow to $1,100 in one year. What is the continuously compounded rate of return?
Answer: The Coupon Rate is a generally fixed and is known as the stated rate of a bond that determines the periodic interest payments. As stated in the textbook, the annual coupon dividen by the face value is called the coupon rate of the bond. The YTM rate of return anticipated on the bond if it is held until the maturity Date. YTM is considered a long-term bond yield expressed as an annual rate.
A person deposited $500 in a savings account that pays 5% annual interest that is compounded yearly. At the end of 10 years, how much money will be in the savings account? (Bluman, A. G. 2005, page 230).
The first kind of risk that could affect the bonds is credit risk. There is a chance that the bond could be defaulted, which means that the yield rate will decrease.
2. What is the difference between the coupon rate and the YTM of bonds? (10 pts)
Interest rate risk: When the interest rate goes up, the bond price will goes down.
The semi-annual compounded interest rate is 5.2% (a six-month discount rate of 5.2/2 = 2.6%). (15 points)
- Bonds carry interest which is also called Coupons that are paid to the bond holder (for using his money)
First we need to get the present value of the annuity for the 1,500 semiannual PMTs at year 14
All else equal, which bond’s price is more effected by a change in interest rates, a bond with a large coupon or a small coupon? Why?
Present Value" is the present-day value of a sum of money expected to be received at a future date calculated at a specified rate of interest. "Future