Answer:
The future value of an annuity (FVA) is $828.06
Explanation:
The future value of an annuity (FVA) is the value of payments at a specific date in the future based on the payments being recurring and assuming a discount rate. The future value of an annuity (FVA) is based on regular cash flow. The higher the discount rate, the greater the annuity's future value.
Where:
FVA is The future value of an annuity (FVA)
P is payment per period
n is the number of period
r is the discount rate
Given that:
P = $195
r = 4% = 0.04
n = 4 years
substituting values
The future value of an annuity (FVA) is $828.06
Answer:
at maturity I will receive 1,155.6
the real return is 7%
the nominal will be 15.56%
Explanation:
As it is indexed it will paid a real rate of 7% adjusted for 8% inflation
1,000 x 1.07 x 1.08 = 1,155.6 received at maturity
no know the nominal rate we do:
nominal = 0.1556 = 15.56%
Answer:
$ 1,035.18
Explanation:
The price of the bond can be determined using the pv excel function as below:
=-pv(rate,nper,pmt,fv)
rate is the yield of 7.8%
nper is the number of coupons before the bonds are called which is 6
pmt is the annual coupon i.e face value*coupon rate=$1000*7.2%=$72
fv is the call price in six years' time which is $1099
=-pv(7.8%,6,72,1099)=$ 1,035.18
Answer:
B) (I) is false, (II) true.
Explanation:
The interest rate of longer-term securities is usually higher than the interest rate of short-term securities because more risk is associated with the longer-term securities. An example of the risks associated with long-term securities is that it possible for inflation to make value of the payment to fall. Another risk is when there is a rise in the interest rate which usually lead to a fall in the bond prices.
Treasury STRIPS refers to bonds that are offered for sale at a discount to their face value. Their major attribute is that they do not pay interest to investors but the full face value of the bonds is paid to the investor when the bonds mature. This means the bonds mature at par.
The full meaning of STRIPS is Separate Trading of Registered Interest and Principal of Securities, and they are types of bonds that are commonly referred to as zero-coupon bonds because no interest or coupon is paid by them.
From the above, we can see that (B) is the correct option in the question. That is, (I) is false, (II) true.
