) FOR THE EXAMPLE GIVEN IN SPONG'S STATEMENT 3, THE ONE-YEAR EXPECTED TOTAL RETURN IS CLOSEST TO
4.) For the example given in Spong's Statement 3, the one-year expected total return is
closest to:
A.
4.35%.
B.
4.50%.
C.
4.84%.
Answer = A
The first step is to calculate the total coupon payments plus reinvestment income. Two
coupon payments are received, one of which is reinvested at one-half the annual
reinvestment rate, so: Income flow = $2.50 + ($2.50 × 1.01) = $5.025.
The second step is to determine the horizon price that is given in Statement 3: $102.50
The third step is to add the income flow and horizon price together to equal horizon
future dollars: $5.025 + $102.5 = $107.525
The fourth step is to calculate the semiannual total return by dividing the total future
dollars by the beginning price: ($107.525/$103)
0.5
– 1.0 = 0.02173, or 2.173%
The final step is to double the semiannual total return to get the total return: