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20200704160543present Value And The Riskreturn Trade Off.edited

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Running head: PRESENT VALUE AND THE RISK/RETURN TRADE-OFF 1
Present Value and the Risk/Return Trade-Off
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PRESENT VALUE AND THE RISK/RETURN TRADE-OFF 2
Present Value and the Risk/Return Trade-Off
1. Calculate the following:
1) Suppose you wish to raise some money for your favorite local charity. This charity
needs $50,000 a year to run its operation and you want to make sure that it is
ensured an annual payment of this amount from now on for every year in the
foreseeable future. Given an interest rate of 5%, how much would you have to fund
this perpetuity to guarantee the charity a payment of $50,000 per year?
Present Value of Perpetuity Formula

C=50,000
r= 5%



 
2) You decide to put $1,000 in a new bank account and don’t plan to withdraw the
money for 10 years. If your bank does continuous compounding and the interest
rate is 1%, what will be the value of this bank account in 10 years?
  

  
 
 



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Running head: PRESENT VALUE AND THE RISK/RETURN TRADE-OFF Present Value and the Risk/Return Trade-Off Student’s Name Course Title Institution Date 1 PRESENT VALUE AND THE RISK/RETURN TRADE-OFF Present Value and the Risk/Return Trade-Off 1. Calculate the following: 1) Suppose you wish to raise some money for your favorite local charity. This charity needs $50,000 a year to run its operation and you want to make sure that it is ensured an annual payment of this amount from now on for every year in the foreseeable future. Given an interest rate of 5%, how much would you have to fund this perpetuity to guarantee the charity a payment of $50,000 per year? Present Value of Perpetuity Formula 𝑃𝑉 = 𝐶 𝑟 C=50,000 r= 5% 𝑃𝑉 = 50000 0.05 𝑃𝑉 = 1000,000 2) You decide to put $1,000 in a new bank account and don’t plan to withdraw the money for 10 years. If your bank does continuous compounding and the interest rate is 1%, what will be the value of this bank account in 10 years? 𝐹𝑉 = 𝑃𝑉(1 + 𝐹𝑉 = 1000 (1 + 𝑟 )∧t 100 1 ) ∧ 10 100 2 PRESENT VALUE AND THE RISK/RETURN TRADE-OFF 3 𝐹𝑉 = 1104.622 2. Suppose you won the lottery, but not all of your winnings will come in one year. Instead, you will get a series of annual payments over the next five years. The table below tells you what your payment will be every year for the next five years. Use the information in the table to make the following computations: a. The present and ...
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