Question
An investor purchases a 10-year, 6% annual coupon payment bond at $90 per $100 of par value. The investor receives a series of 10 coupon
An investor purchases a 10-year, 6% annual coupon payment bond at $90 per $100 of par value. The investor receives a series of 10 coupon payments of $6 (per 100 of par value) for a total of $60, plus the redemption of principal ($100) at maturity. In addition to collecting the coupon interest and the principal, the investor has the opportunity to reinvest the cash flows.
1) If the coupon payments are reinvested at 8%, per 100 of par value, what is the future value of the reinvested coupons at the end of the 10-year reinvestment period?
a) $79.085
b) $86.919
c) $82.899
29) Based on your answer from #28, and assuming you receive par back at maturity, the total return for this investment at the end of 10 years is:
a) $179.085
b) $186.919
c) $182.899
2) What would the realized rate of return (%) be on this investment?
a) 7.582%
b) 7.123%
c) 7.349%
3) What would the realized rate of return (%) be on this investment?
a) 7.582%
b) 7.123%
c) 7.349%
4) Lets assume the investor in this security decided to sell the bond after 4 years. What would be the future value of reinvested coupons at this point again remembering that the investor is reinvesting the 6% coupons at an interest rate of 8%.
a) $26.248
b) $26.639
c) $27.037
5) If the investor sells the 10-year, 6% annual coupon bond after 4-years, assuming the coupons payments can be reinvested at 8% for its 10-year life, what would they realize in sale proceeds in year 4?
a) $90.754
b) $100.000
c) $95.234
6) The total return from the sale of the bond after 4-years is:
a) $127.037
b) $117.393
c) $117.791
7) In this example where the investor purchased the bond at $90 (discount price) and 4 years later sold the bond, the resulting gain or loss they incurred on the security is determined by comparing the sale price to the:
a) Original purchase price
b) Carrying Value
c) Original purchase price plus the amortized amount of the premium
8) An investor buys a 6% annual payment bond with 10 years to maturity. The bond has a YTM of 8% and is currently priced at $86.580 per 100 of par. What is the bonds Macaulay Duration?
a) 7.2469 years
b) 7.8017 years
c) 7.6151 years
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