1. A project pays the investor $5 att1andt2. Fromt3on, the cash flow will increase by5%. For example, the cash flow att3is $5.25, and the cash flow att4is $5.5125. The rate of return is 15%. Please calculate the project’s present value.
2. One project has three cash flows: att0, the initial investment cost is $150; att1, the project pays $121; att2, the project needs an extra investment $242; att3, the project pays $665.5. The project has a constant spot rate of return 10%. What is the present value of the project?
3. A tall Starbucks coffee costs $1.65 a day. If the bank’s daily interest rate is 0.01%,compounded daily, and if the Starbucks price never changed, what would an endless, inheritable free subscription to one Starbucks coffee per day be worth today? [Hint: if you subscribe today, you can get your first coffee tomorrow.]
Question 1
Year | 1 | 2 | 3 |
Cash flow | 5.00 | 5.00 | 5.00 |
Terminal value calculation | =(5 * (1 + 5%)) / (15% - 5%) | ||
Terminal value | 52.50 | ||
Cash flow + Terminal value | 5.00 | 5.00 | 57.50 |
Present value calculation | =5 / (1+15%) ^ 1 | =5 / (1+15%) ^ 2 | =57.5 / (1+15%) ^ 3 |
Present value | 4.35 | 3.78 | 37.81 |
Total present value | 45.94 | ||
Project present value | 45.94 |
Please note i have answered first question as per policy. Thanks.
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