Calculatethe following time value of money problems:

1. 1. If you want to accumulate $500,000 in 20 years, how much do you need to deposit today that pays an interest rate of 15%?
2. 2. Whatisthefuturevalueifyouplantoinvest$200,000for5yearsandtheinterestrateis5%?
3. 3. Whatistheinterestrateforaninitialinvestmentof$100,000togrowto$300,000in10years?
4. 4.Ifyourcompanypurchasesanannuitythatwillpay$50,000/yearfor10yearsata11%discountrate,whatisthevalueoftheannuityonthepurchasedateifthefirstannuitypaymentismadeonthedateofpurchase?
5. 5. What is the rate of return required to accumulate $400,000 if you invest $10,000 per year for 20 years. Assume all payments are made at the end of the period.