Find the present value of each of the following cash flows

Here are the examples:

1. How do you find the present value of each of the following cash flows?:

a. $50,000 a year for 20 years, @6%
b. $2.50 a year for ever @ 12%
c. $65 a year for four years and $1065 in the 5th year, @8%
d. $1,250/month for 30 years, @5.75%

2. When the following cash flows are listed as follows how do I find the net present value at 10% and calculate the internal rates of return?:

B=0.5 Company A
B=2.2 Company L
B=1.6 Company S
B=0.8 Company T

Look up the 10 year Treasury bond yield on http://finance.yahoo.com/bonds and use that for the risk free rate (Rrf). Use an average market rate of return Rm=7.7%. Find the expected rate of return (cost of equity) for each of the four companies listed above using the Capital Asset Pricing Model (CAPM)

4. Assuming I have a portfolio that includes the following amounts of stock given the beta value values shown in question 3 above: What is the weighted average beta of the securities in your portfolio?

Company A= 20%
Company L= 40%
Company S= 30%
Company T= 10%

5. If I needed to decide to purchase items at $999,995 each or lease them for 6 years at $18,500.55 per month. Assuming no salvage value, how do I figure out at what interest rate do the lease and the purchase have the same present value?

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... IRR is the discount rate which equates the present value (PV ... the IRR for the project whose cash flows are given ... We therefore find IRR by trial and error method. ...