The force of interest 8(t) at any time t, measured in years, is given by: 8(t) = { 0.04e0.02t 0.03 0.001t for 0 < t≤ 10 for 10 < t≤ 15 0.045 for t > 15 (i) Derive, and simplify as far as possible, expressions in terms of t for V(t), where V(t) is the present value of a unit sum of cash flow made at time t. You should derive separate expressions for the three sub-intervals. (ii) Hence, making use of the result in part (i), calculate the value at time t = 3 of a payment of £2,500 made at time t = 15. (iii) Calculate, to the nearest 0.01%, the constant nominal annual rate of interest convertible half-yearly implied by the transaction in part (ii). (iv) Making use of the result in part (i), calculate the present value of a payment stream p(t) paid continuously from time t = 15 to t = 20 at a rate of payment at time t given by: p(t) = 300e 0.02t

Please show all your steps and label the formulas used if any. Thank you.

The answer 417,974.94 was correct. Can you please help me solve without technology? Formulas used, etc. Thank you!

I need typing clear urjent no chatgpt used i will give 5 upvotes

I need answer typing clear urjent no chatgpt used i will give upvotes all answers pls

Create a SQL table using your name with the following features: the columns of your table must include, at least the data types (in this order) and one more of your choice NOTE: You need to specify a 2 column (i.e 2 attribute 1. varchar (n), // where n covers the string length you want to enter 2. Int, 3. decimal, (precision = 8, scale = 3 4. date. 5. ??? your choice here ??? Table constraints: 1. It has a two column primary key 2. a check constraint on 2 columns, on the decimal and the date field 3. Use '2024-02-18' date as the default on the date field 5. write down your relational schema 5. Create the table, insert at least 4 rows, and do a Select * to show them example don't just copy these, change the constraint names

can you please show me how to calculate this without using excel? Thanks