MBA 655 Financial Management & Strategy (2243-1) Week 4 quiz
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Jan 9, 2024
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Question 1: Next year you will begin receiving $181 per year in perpetuity from a family trust fund (first payment is exactly 1 year from today). You have decided to discount these cash flows at a constant interest rate of 7.0%. What is the present value today of these future cash flows? (Hint: draw a time line to illustrate exactly the cash flows for this problem.) Answer to 2 decimal places.
=181/.07 = 2585.71428
Answer: 2585.71
Question 2: You are offered the opportunity to buy a note for $10,000. The note is certain to pay $2000 at the end of each of the next 15 years. If you buy the note, what rate of interest will you receive on this investment (to nearest %)
15 (N), -10000 (PV), 2000 (PMT), 0 (FV), CPT, I/Y = 18.41545
Answer: 18.42 = 18
Question 3: Williams Inc. is expected to pay a $7 dividend next year and that dividend is expected to grow at 3.7% every year thereafter (indefinitely, i.e. forever). If the discount rate is 8.1%, what would be the present value of the expected dividend stream (aka the expected price of the firm's stock)? Answer to 2 decimal places.
= 7/(.081-.037) = 7/.044 = 159.090909
Answer: 159.09
Williams Inc. is expected to pay a $6 dividend next year and that dividend is expected to grow at 3.1% every year thereafter (indefinitely, i.e. forever). If the discount rate is 8.3%, what would be the present value of the expected dividend stream (aka the expected price of the firm's stock)? Answer to 2 decimal places.
= 76/(.083-.031) = 6/.052 = 115.384615
Answer: 115.38
Question 4: You have just taken out a 30 year, $120,000 mortgage on your new home. This mortgage is to be repaid in 360 equal monthly installments. If the stated (nominal)annual interest rate is 14.67percent, what is the amount of the INTEREST portion of the FIRST monthly installment?
= 120000*(.1467/12) = 120000*.012225 = 1467
Answer: 1467.00
You have just taken out a 30 year, $120,000 mortgage on your new home. This mortgage is to be repaid in 360 equal monthly installments. If the stated (nominal)annual interest rate is 13.95 percent, what is the amount of the INTEREST portion of the FIRST monthly installment?
= 120000*(.1395/12) = 120000*.011625 = 1395
Answer: 1395
Question 5: In 8 years you will begin receiving $187 per year in perpetuity from a family trust fund (first payment is exactly 8 years from today). You have decided to discount these cash flows at a constant interest rate of 7.2%. What is the present value today of these future cash flows? (Hint: draw a time line to illustrate exactly the cash flows for this problem.) Answer to 2 decimal places.
Answer: 1596.41
In 11 years you will begin receiving $158 per year in perpetuity from a family trust fund (first payment is exactly 11 years from today). You have decided to discount these cash flows at a constant interest rate of
6.5%. What is the present value today of these future cash flows? (Hint: draw a time line to illustrate exactly the cash flows for this problem.) Answer to 2 decimal places.
Answer: 1294.93
Question 6: What is the EAR for a 12.3% APR with continuous compounding? Express your answer as a percentage, with 3 decimals, such as 4.123 percent.
12.3/100 = .123*e
x = 1.13088 – 1 = .13088 * 100 = 13.088%
Answer: 13.088
Question 7: How long does it take a present value amount to triple if the expected return is 8.2%? Answer to 2 decimal points.
10.2 (I/Y), 1 (PV), 0 (PMT), -3 (FV), CPT, N = 11.3111
Answer: 13.94
How long does it take a present value amount to triple if the expected return is 10.2%? Answer to 2 decimal points.
10.2 (I/Y), 1 (PV), 0 (PMT), -3 (FV), CPT, N = 11.3111
Answer: 11.31
Question 8: Your salary next year is expected to be $40,000. Assume you expect your salary to grow at a steady rate of 4% per year for another 21 years. If the appropriate cost of capital (aka discount rate) is 11.0%, what is the PV today of your future salary cash flow stream? For simplicity, assume the salary amounts are at the end of each of the next 21 years. Answer to zero (0) decimal places.
Answer: 571428.57
Your salary next year is expected to be $40,000. Assume you expect your salary to grow at a steady rate of 4% per year for another 21 years. If the appropriate cost of capital (aka discount rate) is 10.9%, what is
the PV today of your future salary cash flow stream? For simplicity, assume the salary amounts are at the
end of each of the next 21 years. Answer to zero (0) decimal places.
Answer: 579710.14
Question 9: What is the PV of a 8-year annuity due (payments at beginning of period, aka annuity in advance) of $935 if the required return is 10.2% Answer to 2 decimal places.
7 (N0, 10.2 (I/Y), 935 (PMT), 0 (FV), CPT, PV = 4522.1528 + 935 = 5457.15269
Answer: 5457.15
What is the PV of a 13-year annuity due (payments at beginning of period, aka annuity in advance) of $711 if the required return is 11.5% Answer to 2 decimal places.
12 (N0, 11.5 (I/Y), 711 (PMT), 0 (FV), CPT, PV = 4508.154 + 711 = 5219.151419
Answer: 5219.15
Question 10: If you can obtain bank financing at 5.97% APR (with monthly compounding) on a 5-year, $29573 car loan, what would be the monthly loan payments? Answer to 2 decimal places.
60 (N), 5.97/12 = .4975 (I/Y), 29573 (PV), 0 (FV), CPT, PV = 571.31649
Answer: 571.32
If you can obtain bank financing at 6.21% APR (with monthly compounding) on a 5-year, $27361 car loan,
what would be the monthly loan payments? Answer to 2 decimal places.
60 (N), 6.21/12 = .5175 (I/Y), 27361 (PV), 0 (FV), CPT, PV = 531.64063
Answer: 531.64
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