When submitting the answers, please put the questions before, so i know which one is which. thank you! What is the present value of an annuity in which $200 is paid each year for 10 years, assuming a...

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When submitting the answers, please put the questions before, so i know which one is which. thank you!
What is the present value of an annuity in which $200 is paid each year for 10 years, assuming a discount rate of 6% and the first payment is received one year from now?


Please round your answer to the nearest cent.
What is the present value of an annuity in which $400 is paid each year for 7 years, assuming a discount rate of 11% and the first payment is received one year from now?


Please round your answer to the nearest cent.


What is the present value of $300 paid each year forever, assuming a discount rate of 5% and the first payment is received one year from now?


Please round your answer to the nearest cent.


What is the present value of $200 paid each year forever, assuming a discount rate of 2% and the first payment is received one year from now?


Please round your answer to the nearest cent.


What is the present value of a series of payments received each year for 11 years, starting with $300 paid one year from now and the payment growing in each subsequent year by 10%? Assume a discount rate of 12%.


Please round your answer to the nearest cent.


What is the present value of a series of payments received each year for 9 years, starting with $400 paid one year from now and the payment growing in each subsequent year by 5%? Assume a discount rate of 7%.


Please round your answer to the nearest cent.


What is the present value of a series of payments received each year forever, starting with $200 paid one year from now and the payment growing in each subsequent year by 1%? Assume a discount rate of 2%.


Please round your answer to the nearest cent.


What is the present value of a series of payments received each year forever, starting with $400 paid one year from now and the payment growing in each subsequent year by 5%? Assume a discount rate of 7%.


Please round your answer to the nearest cent.


What is the current value of a zero-coupon bond that pays a face value of $1,000 at maturity in 6 years if the appropriate discount rate is 8%.


Please round your answer to the nearest cent.


What interest rate is implicit in a $1,000 par value zero-coupon bond that matures in 4 years if the current price is $590.


Please specify your answer in decimal terms and round your answer to the nearest thousandth (e.g., enter 12.3 percent as 0.123).


What is the current value of a $1,000 bond with a 7% annual coupon rate (paid annually) that matures in 7 years if the appropriate discount rate is 11%.


Please round your answer to the nearest cent.


What is the current value of a $1,000 bond with a 8% annual coupon rate (paid semi-annually) that matures in 8 years if the appropriate stated annual discount rate is 5%.


Please round your answer to the nearest cent.


A firm that purchases electricity from the local utility for $200,000 per year is considering installing a steam generator at a cost of $290,000. The cost of operating this generator would be $150,000 per year, and the generator will last for five years. If the firm buys the generator, it does not need to purchase any electricity from the local utility. The cost of capital is 9%.


For the local utility option, consider five years of electricity purchases. For the generator option, assume immediate installation, with purchase and operating costs in the current year and operating costs continuing for the next four years. Assume payments under both options at the start of each year (i.e., immediate, one year from now,..., four years from now).



What is the net present value of the more attractive choice?



Please round your answer to the nearest dollar. Report the NPV of cost as a negative number.


A firm that purchases electricity from the local utility is considering installing a steam generator. A large generator costs $330,000 whereas a small generator costs $220,000. The cost of operating the generator would be $150,000 per year for the large and $180,000 for the small. Either generator will last for five years. The cost of capital is 10%.


For each generator option, assume immediate installation, with purchase and operating costs in the current year and operating costs continuing for the next four years. Assume payments under both options at the start of each year (i.e., immediate, one year from now,..., four years from now).



What is the net present value of the more attractive generator?



Please round your answer to the nearest dollar. Report the NPV of cost as a negative number.


A prospective MBA student earns $50,000 per year in her current job and expects that amount to increase by 12% per year. She is considering leaving her job to attend business school for two years at a cost of $45,000 per year. She has been told that her starting salary after business school is likely to be $85,000 and that amount will increase by 15% per year. Consider a time horizon of 10 years, use a discount rate of 11%, and ignore all considerations not explicitly mentioned here.


Assume all cash flows occur at the start of each year (i.e., immediate, one year from now, two years from now,..., nine years from now). Also assume that the choice can be implemented immediately so that for the MBA alternative the current year is the first year of business school.



What is the net present value of the more attractive choice?



Please round your answer to the nearest dollar.
Answered Same DayAug 20, 2021

Answer To: When submitting the answers, please put the questions before, so i know which one is which. thank...

Mohammad Wasif answered on Aug 22 2021
146 Votes
Solution
        Constant Annuity / Perpertuity
        Question 1
        Rate( discount rate)     6%
        PMT ( Annuity)    $ (200.00)
        Nper    10
        The PV of the
annuity using the Excel PV() function     $1,472.02
        Question 2
        Rate( discount rate)     11%
        PMT ( Annuity)    $ (400.00)
        Nper    7
        The PV of the annuity using the Excel PV() function     $1,884.88
        Question 3
        The PV of the perpertuity =PMT/ rate
        PMT    $ 300
        Rate    5%
        PV of $300 paid each year forever    $ 6,000.00
        Question 4
        The PV of the perpertuity =PMT/ rate
        PMT    $ 200
        Rate    2%
        PV of $200 paid each year forever    $ 10,000.00
        Question 5
        The PV of the growing annuity
        The cash flow timeline
        Year     1    2    3    4    5    6    7    8    9    10    11
        Cash Flow     300    330    363    399.3    439.23    483.153    531.4683    584.61513    643.076643    707.3843073    778.12273803
        Discounted cash flows     $ 267.86    $ 263.07    $ 258.38    $ 253.76    $ 249.23    $ 244.78    $ 240.41    $ 236.12    $ 231.90    $ 227.76    $ 223.69
        Sum of the discouinted Cfs     2245.51
        Initial Cash Flow     300
        Growth rate    10%
        Discount rate    12%
        Year    11
        Using the formula PV = PMT *(1-(1+g)^n* (1+i)^-n) / (i-g)     2696.96
        Question 6
        The PV of the growing annuity
        The cash flow timeline
        Year     1    2    3    4    5    6    7    8    9
        Cash Flow     400    420    441    463.05    486.2025    510.512625    536.03825625    562.8401690625    590.9821775156
        Discounted cash flows     $ 373.83    $ 366.84    $ 359.99    $ 353.26    $ 346.66    $ 340.18    $ 333.82    $...
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